Undergraduate Requirements Archive → Printer Friendly Version
Upon declaring a major in mathematics or statistics & data science, students must select a degree in which the major will appear. We offer your choice of a Bachelor of Arts (B.A.) or Bachelor of Science (B.S.).
These degrees have many common requirements, including minimum units, English composition, and many of the general education courses. There are some differences, however.
Below, you can find the requirements specific to the two degrees. For requirements specific to each major, regardless of degree, see:
Our major checklists also provide a good overview of the requirements for the degree/major of your choice.
As far as the mathematics or statistics coursework is concerned, the B.A. and B.S. are identical.
The requirements for the two degrees differ only in the following ways:
**Note: These requirements changed significantly in Spring 2022 to coincide with a new General Education program. If you entered the university in 2021 or earlier, see here for your B.A. degree requirements.**
**Note: These requirements changed significantly in Spring 2022 to coincide with a new General Education program. If you entered the university in 2021 or earlier, see here for your B.S. degree requirements.**
(*) Lecture and lab must both be taken to constitute one lab science course.
Note: B.S. students may satisfy both the Application Course Requirement and one of the Laboratory Science Courses by completing one of the Physics courses.
Choose from the following:
| Agric & Biosystems Eng | BE 201, BE 284, BE 428, BE 481A;
|
| Agric & Resource Economics | AREC 304,
AREC 464, AREC 479;
|
| Astronomy | ASTR 250; |
| Atmospheric Sciences | ATMO 430, ATMO 436A, ATMO 469A, ATMO 469B;
|
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466 |
| Biomedical Engineering | BME 214, BME 481B; |
| Civil Engineering | CE 214; |
| Chemical & Environmental Engr | CHEE 201, CHEE 202,
CHEE 270, CHEE 297, CHEE 481A, CHEE 481B;
|
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 404A, CHEM 480A, CHEM 480B, CHEM 481; |
| Computer Science | CSC 345, CSC 355, CSC 422, CSC 433, CSC 436, CSC 437,
CSC 444, CSC 445, CSC 453, CSC 460, CSC 477, CSC 483;
|
| Computer Science UA South | CSCV 345; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447, ECOL 496N (ECOL 496N not offered recently); |
| Economics | ECON 332,ECON 361; |
| Engineering | ENGR 211C, ENGR 211E, ENGR 211P; |
| Environmental Science | ENVS 420, ENVS 470, ENVS 479; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440, GEOS 469, GEOS 479; |
| Hydrology and Water Resources | HWRS 349A,
HWRS 350, HWRS 421(HWRS 421 not offered recently), HWRS 431, HWRS 460A; |
| Information Sci, Tech & Arts | ISTA 320, ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 480; |
| Materials Science & Engr | MSE 222, MSE 345, MSE 404, MSE 415; |
| Mathematics | MATH 493; |
| Optical Sciences | OPTI 201R, OPTI 303, OPTI 495B; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143*, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241,PHYS 261H; *Note: PHYS 143 is only 2 units; 6 units are required. |
| Physiology | PSIO 303, PSIO 305, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Retailing & Consumer Science | RCSC 216; |
| Systems & Industrial Engr | SIE 250, SIE 265; |
| Wildlife & Fisheries Science | WFSC 444, WFSC 445; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. | |
Students pursuing a second major that has a degree title different from that of the first major are technically double degree students. Additional requirements may apply to double degree students that do not pertain to double major students (students with two majors that have exactly the same degree title). See an advisor for details.
Every undergraduate degree program at the University of Arizona requires satisfaction of the MCWA. a grade of A or B in ENGL 102, ENGL 108 (for ESL students), or ENGL 109H (for qualified students) will satisfy the requirement. If you earn less than a B in your second-semester composition course, you have several options for completing the MCWA. You may:
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible emphases:
Each emphasis requires at least 15 units of 400-level mathematics course work, and each emphasis, except Mathematics Education, requires the student to complete a minor outside the math department. Courses in minors must be distinct from those in the major.
The complete official requirements for each emphasis are given in the University Catalog in the form of an Academic Advisement Report (ADVIP). Below we cover the portion of the requirements specific to the mathematics major. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which additional courses would strengthen their degree program.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
All math and SDS majors are required to complete a computer programming course, regardless of the degree and emphasis selected. One of the following courses is recommended for most students: CSC 110, ISTA 130, ECE 175, or CHEE 205; other options may require additional prerequisites and/or a major or minor declared in another subject.
All seven emphases for the B.A./B.S. require the following core courses, which should ideally be completed by the end of the sophomore year.
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) MATH 313 replaces MATH 215, which is no longer offered. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3)MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It is prerequisite for more theoretical 400-level courses in the major. Students who do not do well in MATH 323 should speak to an advisor about their choice of major/emphasis. MATH 396L, the Wildcat Proofs Workshop, is a 1 unit supplemental instruction course intended to give students additional practice and guidance in learning proof writing techniques. The 396L course is required for students who earned a C or lower in MATH 313, the prerequisite to 323. Students who earn a D in 313 are required to either repeat 313 for a higher grade or take another course (MATH 243, 315, or CSC 245) before moving on to 323 + 396L.
(4)MATH 355 is the differential equations course that all mathematics majors are expected to take. This course emphasizes the ideas of dynamical systems and makes use of a more sophisticated approach to differential equations. MATH 254 is a differential equations course that is aimed at engineering and science majors. Students with an additional major in engineering or science may ask their math faculty advisors for permission to substitute MATH 254 course for MATH 355 if a scheduling issue arises. Keep in mind that MATH 254 is lower-division - students who take it may need extra upper-division units.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis covers the minimum requirements for admission to most graduate programs in mathematics or applied mathematics. We have separate information on selecting the appropriate emphasis and courses to prepare for various types of graduate programs. Students selecting the comprehensive emphasis should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject outside the math department is required with this emphasis.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning most of the 400-level courses above. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in proof-intensive 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis. The math major with probability and statistics emphasis differs from the Statistics and Data Science (SDS) major in that it gives more theoretical background. Students who wish to attend graduate school in statistics, economics, or another related field are advised to choose this option instead of (or in addition to) the SDS major. In association with the Graduate Interdisciplinary Program in Statistics & Data Science, we offer an Accelerated Master's Program in Statistics & Data Science.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis is for students preparing to teach mathematics at the secondary school level. The Education emphasis has two main components, a set of courses in mathematics, and a set of pedagogy courses. This emphasis does not require a minor. See the Secondary Math Education Program (SMEP) website for additional information.
Major requirements:
(*) LCEV 408— Methods of Teaching English to English Language Learners also fulfills this requirement but is not currently available to SMEP students through the College of Education.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in computer science is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students minoring in Computer Science may not double-dip courses with their math major. Students with a double major in Computer Science and Mathematics may be able to double-dip additional courses between the two majors, within reasonable limits. It is important to consult with advisors from both majors when planning your coursework to avoid graduation delays.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis requires either
The minor should be chosen in consultation with an advisor.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor or major in the biological sciences is required for this emphasis. Possibilities include Astrobiology, Biochemistry, Bioinformatics (major only), Biology, Biosystems Engineering, Ecology & Evolutionary Biology, Environmental Science, Medicine Thematic, Molecular & Cellular Biology, Pharmaceutical Sciences, Physiology, Physiological and Medical Sciences, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. A second major in a life science area may also be used to fulfill the minor requirement. Courses which may be of interest for your minor include: ECOL 320, ECOL 340, ECOL 426, ECOL 453, ECOL 480, ECOL 496J;
MCB 315, MCB 410, MCB 411, MCB 422.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Statistics & Data Science require the same set of supporting and core coursework.
A minor in any subject outside the math department is required with this major.
The information and requirements given here apply to the 2024–2025 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
Note: this program was brand new for Fall 2018. All SDS majors are expected to meet with an advisor in the Math Center at least once a semester.
All SDS majors are required to complete a computer programming course in Python, regardless of the degree selected. Enrollment in DATA 363 requires successful completion of a Python programming course, so students have programming background to help them pick up R and to ensure they are getting Python experience along the way. Choose one course:(*)
(*)Either CSC 110 or ISTA 130 is recommended for most students; CSC 120 or CSC 250 will also satisfy the requirement if available. As an alternative, qualified students may complete both ECE 175 AND BE 205 or both ECE 175 AND CHEE 205. Contact the Math Center if you need any of these alternative courses pulled into your advisement report.
SDS graduates applying for jobs will find that SQL and Data Management skills are important. Enrollment in DATA 363 requires completion of or concurrent enrollment in a course that teaches SQL and Data Management. These skills will be helpful as students work on their projects in DATA 363. Take one course:
(*)DATA 201 is not yet in the course catalog (as of spring 2024), but has been approved as a Building Connections General Education course.
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) Either MATH 313 or MATH 310 may be used to fulfill this requirement in the SDS major. However, please note that 310 is no longer offered at UArizona. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3) As of Fall 2024, the enrollment requirements for DATA 363 have changed. Students must complete MATH 129 and a Python course (CSC 110 or ISTA 130) prior to 363. In addition, MATH 313 and an SQL course (ISTA 322) must either be complete or in-progress in the same term as 363.
(4) DATA 467 is offered in-person in fall semesters. Provided we have sufficient enrollment, we plan to offer it online each spring.
(5) DATA 498A is currently primarily a spring course; as of 2024, we are attempting to offer it in fall semesters as well.
The SDS major requires one upper-division elective course. The current courses that will be accepted toward this requirement are listed below. More course options may be added as the program grows; see your academic advisor for details.
Course options:
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
Upon declaring a major in mathematics or statistics & data science, students must select a degree in which the major will appear. We offer your choice of a Bachelor of Arts (B.A.) or Bachelor of Science (B.S.).
These degrees have many common requirements, including minimum units, English composition, and many of the general education courses. There are some differences, however.
Below, you can find the requirements specific to the two degrees. For requirements specific to each major, regardless of degree, see:
Our major checklists also provide a good overview of the requirements for the degree/major of your choice.
As far as the mathematics or statistics coursework is concerned, the B.A. and B.S. are identical.
The requirements for the two degrees differ only in the following ways:
**Note: These requirements changed significantly in Spring 2022 to coincide with a new General Education program. If you entered the university in 2021 or earlier, see here for your B.A. degree requirements.**
**Note: These requirements changed significantly in Spring 2022 to coincide with a new General Education program. If you entered the university in 2021 or earlier, see here for your B.S. degree requirements.**
(*) Lecture and lab must both be taken to constitute one lab science course.
Note: B.S. students may satisfy both the Application Course Requirement and one of the Laboratory Science Courses by completing one of the Physics courses.
Choose from the following:
| Agric & Biosystems Eng | BE 201, BE 284, BE 428, BE 481A;
|
| Agric & Resource Economics | AREC 304,
AREC 464, AREC 479;
|
| Astronomy | ASTR 250; |
| Atmospheric Sciences | ATMO 430, ATMO 436A, ATMO 469A, ATMO 469B;
|
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466 |
| Biomedical Engineering | BME 214, BME 481B; |
| Civil Engineering | CE 214; |
| Chemical & Environmental Engr | CHEE 201, CHEE 202, CHEE 297, CHEE 481A, CHEE 481B; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 404A, CHEM 480A, CHEM 480B, CHEM 481; |
| Computer Science | CSC 345, CSC 355, CSC 422, CSC 433, CSC 436, CSC 437,
CSC 444, CSC 445, CSC 453, CSC 460, CSC 477, CSC 483;
|
| Computer Science UA South | CSCV 345; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447, ECOL 496N (ECOL 496N not offered recently); |
| Economics | ECON 332,ECON 361; |
| Engineering | ENGR 211C, ENGR 211E, ENGR 211P; |
| Environmental Science | ENVS 420, ENVS 470, ENVS 479; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440, GEOS 469, GEOS 479; |
| Hydrology and Water Resources | HWRS 349A, HWRS 421(HWRS 421 not offered recently), HWRS 431, HWRS 460A; |
| Information Sci, Tech & Arts | ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 480; |
| Materials Science & Engr | MSE 222, MSE 345, MSE 404, MSE 415; |
| Mathematics | MATH 493; |
| Optical Sciences | OPTI 201R, OPTI 303, OPTI 495B; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143*, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241,PHYS 261H; *Note: PHYS 143 is only 2 units; 6 units are required. |
| Physiology | PSIO 303, PSIO 305, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Retailing & Consumer Science | RCSC 216; |
| Systems & Industrial Engr | SIE 250, SIE 265; |
| Wildlife & Fisheries Science | WFSC 444, WFSC 445; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. | |
Students pursuing a second major that has a degree title different from that of the first major are technically double degree students. Additional requirements may apply to double degree students that do not pertain to double major students (students with two majors that have exactly the same degree title). See an advisor for details.
Every undergraduate degree program at the University of Arizona requires satisfaction of the MCWA. a grade of A or B in ENGL 102, ENGL 108 (for ESL students), or ENGL 109H (for qualified students) will satisfy the requirement. If you earn less than a B in your second-semester composition course, you have several options for completing the MCWA. You may:
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible emphases:
Each emphasis requires at least 15 units of 400-level mathematics course work, and each emphasis, except Mathematics Education, requires the student to complete a minor outside the math department. Courses in minors must be distinct from those in the major.
The complete official requirements for each emphasis are given in the University Catalog in the form of an Academic Advisement Report (ADVIP). Below we cover the portion of the requirements specific to the mathematics major. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which additional courses would strengthen their degree program.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
All math and SDS majors are required to complete a computer programming course, regardless of the degree and emphasis selected. One of the following courses is recommended for most students: CSC 110, ISTA 130, ECE 175, or CHEE 205; other options may require additional prerequisites and/or a major or minor declared in another subject.
All seven emphases for the B.A./B.S. require the following core courses, which should ideally be completed by the end of the sophomore year.
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) MATH 313 replaces MATH 215, which is no longer offered. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3)MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It is prerequisite for more theoretical 400-level courses in the major. Students who do not do well in MATH 323 should speak to an advisor about their choice of major/emphasis. MATH 396L, the Wildcat Proofs Workshop, is a 1 unit supplemental instruction course intended to give students additional practice and guidance in learning proof writing techniques. The 396L course is required for students who earned a C or lower in MATH 313, the prerequisite to 323. Students who earn a D in 313 are required to either repeat 313 for a higher grade or take another course (MATH 243, 315, or CSC 245) before moving on to 323 + 396L.
(4)MATH 355 is the differential equations course that all mathematics majors are expected to take. This course emphasizes the ideas of dynamical systems and makes use of a more sophisticated approach to differential equations. MATH 254 is a differential equations course that is aimed at engineering and science majors. Students with an additional major in engineering or science may ask their math faculty advisors for permission to substitute MATH 254 course for MATH 355 if a scheduling issue arises. Keep in mind that MATH 254 is lower-division - students who take it may need extra upper-division units.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis covers the minimum requirements for admission to most graduate programs in mathematics or applied mathematics. We have separate information on selecting the appropriate emphasis and courses to prepare for various types of graduate programs. Students selecting the comprehensive emphasis should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject outside the math department is required with this emphasis.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning most of the 400-level courses above. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in proof-intensive 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis. The math major with probability and statistics emphasis differs from the Statistics and Data Science (SDS) major in that it gives more theoretical background. Students who wish to attend graduate school in statistics, economics, or another related field are advised to choose this option instead of (or in addition to) the SDS major. In association with the Graduate Interdisciplinary Program in Statistics & Data Science, we offer an Accelerated Master's Program in Statistics & Data Science.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis is for students preparing to teach mathematics at the secondary school level. The Education emphasis has two main components, a set of courses in mathematics, and a set of pedagogy courses. This emphasis does not require a minor. See the Secondary Math Education Program (SMEP) website for additional information.
Major requirements:
(*) LCEV 408— Methods of Teaching English to English Language Learners also fulfills this requirement but is not currently available to SMEP students through the College of Education.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in computer science is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students minoring in Computer Science may not double-dip courses with their math major. Students with a double major in Computer Science and Mathematics may be able to double-dip additional courses between the two majors, within reasonable limits. It is important to consult with advisors from both majors when planning your coursework to avoid graduation delays.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis requires either
The minor should be chosen in consultation with an advisor.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor or major in the biological sciences is required for this emphasis. Possibilities include Astrobiology, Biochemistry, Bioinformatics (major only), Biology, Biosystems Engineering, Ecology & Evolutionary Biology, Environmental Science, Medicine Thematic, Molecular & Cellular Biology, Pharmaceutical Sciences, Physiology, Physiological and Medical Sciences, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. A second major in a life science area may also be used to fulfill the minor requirement. Courses which may be of interest for your minor include: ECOL 320, ECOL 340, ECOL 426, ECOL 453, ECOL 480, ECOL 496J;
MCB 315, MCB 410, MCB 411, MCB 422.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Statistics & Data Science require the same set of supporting and core coursework. A minor in any subject outside the math department is required with this major.
The information and requirements given here apply to the 2023–2024 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
Note: this program was brand new for Fall 2018. All SDS majors are expected to meet with an advisor in the Math Center at least once a semester.
All SDS majors are required to complete a computer programming course in Python, regardless of the degree selected. Beginning in Spring 2023, enrollment in DATA 363 will require completion of a Python programming course, so students have programming background to help them pick up R and to ensure they are getting Python experience along the way. Choose one course:(*)
(*)Either CSC 110 or ISTA 130 is recommended for most students; CSC 120 or CSC 250 will also satisfy the requirement if available. As an alternative, qualified students may complete both ECE 175 AND BE 205.
SDS graduates applying for jobs will find that SQL and Data Management skills are important. Beginning in Fall 2023, enrollment in DATA 363 will require completion or concurrent enrollment in a course that teaches SQL and Data Management. These skills will be helpful as students work on their projects in DATA 363. Take one course:
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) Either MATH 313 or MATH 310 may be used to fulfill this requirement in the SDS major. However, please note that 310 is no longer offered at UArizona. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3) As of Fall 2024, the enrollment requirements for DATA 363 have changed. Students must complete MATH 129 and a Python course (CSC 110 or ISTA 130) prior to 363. In addition, MATH 313 and an SQL course (ISTA 322) must either be complete or in-progress in the same term as 363.
(4) DATA 467 is offered in-person in fall semesters. Provided we have sufficient enrollment, we plan to offer it online each spring.
(5) DATA 498A is currently primarily a spring course; as of 2024, we are attempting to offer it in fall semesters as well.
The SDS major requires one upper-division elective course. The current courses that will be accepted toward this requirement are listed below. More course options may be added as the program grows; see your academic advisor for details.
Course options:
A new Gen Ed program is in effect for students admitted in Spring 2022 and later. The following changes were made to mitigate impact on these students. For B.S. degree with either major: require two lab science courses, not necessarily sequence; require three units of application courses instead of six.
CHEE 205 added to the list of acceptable alternative programming courses. Applied emphasis: added MATH 481 and 485 to the pre-approved list for the 5th course.
Add recommended Data Management/SQL course.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
Upon declaring a major in mathematics or statistics & data science, students must select a degree in which the major will appear. We offer your choice of a Bachelor of Arts (B.A.) or Bachelor of Science (B.S.).
These degrees have many common requirements, including minimum units, English composition, and many of the general education courses. There are some differences, however.
Below, you can find the requirements specific to the two degrees. For requirements specific to each major, regardless of degree, see:
Our major checklists also provide a good overview of the requirements for the degree/major of your choice.
As far as the mathematics or statistics coursework is concerned, the B.A. and B.S. are identical.
The requirements for the two degrees differ only in the following ways:
**Note: These requirements apply to students who entered the university in Spring 2022 or later! If you entered the university in 2021 or earlier, see here for your B.A. degree requirements.**
**Note: These requirements apply to students who entered the university in Spring 2022 or later! If you entered the university in 2021 or earlier, see here for your B.S. degree requirements.**
(*) Lecture and lab must both be taken to constitute one lab science course.
Note: B.S. students in either major may satisfy both the Application Course Requirement and one of the Laboratory Science Courses by completing one of the Physics courses.
For mathematics majors, these courses must have a pre- or co-requisite of at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Eng | BE 201, BE 284, BE 428, BE 481A;
|
| Agric & Resource Economics | AREC 304,
AREC 464, AREC 479;
|
| Astronomy | ASTR 250; |
| Atmospheric Sciences | ATMO 430, ATMO 436A, ATMO 469A, ATMO 469B;
|
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466 |
| Biomedical Engineering | BME 214, BME 481B; |
| Civil Engineering | CE 214; |
| Chemical & Environmental Engr | CHEE 201, CHEE 202, CHEE 297, CHEE 481A, CHEE 481B; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 404A, CHEM 480A, CHEM 480B, CHEM 481; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437,
CSC 444, CSC 445, CSC 453, CSC 460, CSC 477, CSC 483;
|
| Computer Science UA South | CSCV 345; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447, ECOL 496N (ECOL 496N not offered recently); |
| Economics | ECON 332,ECON 361; |
| Engineering | ENGR 211C, ENGR 211E, ENGR 211P; |
| Environmental Science | ENVS 420, ENVS 470, ENVS 479; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440, GEOS 469, GEOS 479; |
| Hydrology and Water Resources | HWRS 349A, HWRS 421(HWRS 421 not offered recently), HWRS 431, HWRS 460A; |
| Information Sci, Tech & Arts | ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 480; |
| Materials Science & Engr | MSE 222, MSE 345, MSE 404, MSE 415; |
| Mathematics | MATH 493; |
| Optical Sciences | OPTI 201R, OPTI 303, OPTI 495B; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143*, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241,PHYS 261H; *Note: PHYS 143 is only 2 units; 6 units are required. |
| Physiology | PSIO 303, PSIO 305, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Retailing & Consumer Science | RCSC 216; |
| Systems & Industrial Engr | SIE 250, SIE 265; |
| Wildlife & Fisheries Science | WFSC 444, WFSC 445; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. | |
Statistics & data science majors may now use ISTA 322 to fulfill this requirement. Please email the Math Center if you have enrolled in ISTA 322 and need us to adjust your record. Historically, these application courses must have a pre- or co-requisite of a statistics course or at least Calculus I (MATH 122B or higher), but we are finding that SQL/Data Management skills are more important for our graduates.
Application courses:
| Agric & Biosystems Engineering | BE 201, BE 284, BE 423, BE 428, BE 485; |
| Animal & Comp Biomed Sciences | ACBS 313; |
| Aerospace & Mechanical Engr | AME 472 |
| Astronomy | ASTR 250; |
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466; |
| Civil Engineering | CE 214, CE 310, CE 449; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 404A, CHEM 480A, CHEM 480B; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437, CSC 444, CSC 445, CSC 453, CSC 460, CSC 477, CSC 483, CSCV 345; |
| Statistics & Data Science | DATA 493; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447; |
| Economics | ECON 332, ECON 361; |
| Engineering | ENGR 211C; |
| Environmental Science | ENVS 420, ENVS 470; |
| Epidemiology | EPID 452, EPID 479; |
| Geosciences | GEOS 322, GEOS 356, GEOS 434A, GEOS 469, GEOS 479; |
| Information Sci, Tech & Arts | ISTA 321, ISTA 350, ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 416A, MCB 480; |
| Materials Science & Engr | MSE 345, MSE 404; |
| Neuroscience & Cognitive Sci | NSCS 344; |
| Optical Sciences | OPTI 201R; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143*, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241, PHYS 261H; *Note: PHYS 143 is only 2 units; 6 units are required. |
| Physiology | PSIO 303, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Range Management | RAM 456; |
| Renewable Natural Resources | RNR 321, RNR 417, RNR 473; |
| Systems & Industrial Engr | SIE 250, SIE 265, SIE 422, SIE 496; |
| Sociology | SOC 476; |
| Wildlife & Fisheries Science | WFSC 444, WFSC 445; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. |
Students pursuing a second major that has a degree title different from that of the first major are technically double degree students. Additional requirements may apply to double degree students that do not pertain to double major students (students with two majors that have exactly the same degree title). See an advisor for details.
Every undergraduate degree program at the University of Arizona requires satisfaction of the MCWA. a grade of A or B in ENGL 102, ENGL 108 (for ESL students), or ENGL 109H (for qualified students) will satisfy the requirement. If you earn less than a B in your second-semester composition course, you have several options for completing the MCWA. You may:
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible emphases:
Each emphasis requires at least 15 units of 400-level mathematics course work, and each emphasis, except Mathematics Education, requires the student to complete a minor outside the math department. Courses in minors must be distinct from those in the major.
The complete official requirements for each emphasis are given in the University Catalog in the form of an Academic Advisement Report (ADVIP). Below we cover the portion of the requirements specific to the mathematics major. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which additional courses would strengthen their degree program.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
All math and SDS majors are required to complete a computer programming course, regardless of the degree and emphasis selected. One of the following courses is recommended for most students: CSC 110, ISTA 130, ECE 175, or CHEE 205; other options may require additional prerequisites and/or a major or minor declared in another subject.
All seven emphases for the B.A./B.S. require the following core courses, which should ideally be completed by the end of the sophomore year.
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) MATH 313 replaces MATH 215, which is no longer offered. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3)MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It is prerequisite for more theoretical 400-level courses in the major. Students who do not do well in MATH 323 should speak to an advisor about their choice of major/emphasis. MATH 396L, the Wildcat Proofs Workshop, is a 1 unit supplemental instruction course intended to give students additional practice and guidance in learning proof writing techniques. The 396L course is required for students who earned a C or lower in MATH 313, the prerequisite to 323. Students who earn a D in 313 are required to either repeat 313 for a higher grade or take another course (MATH 243, 315, or CSC 245) before moving on to 323 + 396L.
(4)MATH 355 is the differential equations course that all mathematics majors are expected to take. This course emphasizes the ideas of dynamical systems and makes use of a more sophisticated approach to differential equations. MATH 254 is a differential equations course that is aimed at engineering and science majors. Students with an additional major in engineering or science may ask their math faculty advisors for permission to substitute MATH 254 course for MATH 355 if a scheduling issue arises. Keep in mind that MATH 254 is lower-division - students who take it may need extra upper-division units.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course. MATH 481 (Mathematical Modeling of Fluid Flow through and around Organs and Organisms) may replace MATH 485. If your catalog requirements do not reflect this, please email mathcenter@math.arizona.edu if you enroll so we can adjust your record. The course will begin appearing in advisement reports for Fall 2021.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis covers the minimum requirements for admission to most graduate programs in mathematics or applied mathematics. We have separate information on selecting the appropriate emphasis and courses to prepare for various types of graduate programs. Students selecting the comprehensive emphasis should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject outside the math department is required with this emphasis.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning most of the 400-level courses above. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in proof-intensive 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis. The math major with probability and statistics emphasis differs from the Statistics and Data Science (SDS) major in that it gives more theoretical background. Students who wish to attend graduate school in statistics, economics, or another related field are advised to choose this option instead of (or in addition to) the SDS major. In association with the Graduate Interdisciplinary Program in Statistics & Data Science, we offer an Accelerated Master's Program in Statistics & Data Science.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis is for students preparing to teach mathematics at the secondary school level. The Education emphasis has two main components, a set of courses in mathematics, and a set of pedagogy courses. This emphasis does not require a minor. See the Secondary Math Education Program (SMEP) website for additional information.
Major requirements:
(*) LCEV 408— Methods of Teaching English to English Language Learners also fulfills this requirement but is not currently available to SMEP students through the College of Education.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in computer science is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students minoring in Computer Science may not double-dip courses with their math major. Students with a double major in Computer Science and Mathematics may be able to double-dip additional courses between the two majors, within reasonable limits. It is important to consult with advisors from both majors when planning your coursework to avoid graduation delays.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis requires either
The minor should be chosen in consultation with an advisor.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor or major in the biological sciences is required for this emphasis. Possibilities include Astrobiology, Biochemistry, Bioinformatics (major only), Biology, Biosystems Engineering, Ecology & Evolutionary Biology, Environmental Science, Molecular & Cellular Biology, Pharmaceutical Sciences, Physiology, Physiological and Medical Sciences, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. A second major in a life science area may also be used to fulfill the minor requirement. Courses which may be of interest for your minor include: ECOL 320, ECOL 340, ECOL 426, ECOL 453, ECOL 480, ECOL 496J;
MCB 315, MCB 410, MCB 411, MCB 422.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course. MATH 481 (Mathematical Modeling of Fluid Flow through and around Organs and Organisms) may replace MATH 485. If your catalog requirements do not reflect this, please email mathcenter@math.arizona.edu if you enroll so we can adjust your record. The course will begin appearing in advisement reports for Fall 2021.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Statistics & Data Science require the same set of supporting and core coursework. A minor in any subject outside the math department is required with this major.
The information and requirements given here apply to the 2022–2023 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
Note: this program was brand new for Fall 2018. All SDS majors are expected to meet with an advisor in the Math Center at least once a semester.
All SDS majors are required to complete a computer programming course in Python, regardless of the degree selected. Beginning in Spring 2023, enrollment in DATA 363 will require completion of a Python programming course, so students have programming background to help them pick up R and to ensure they are getting Python experience along the way. Choose one course:(*)
(*)Either CSC 110 or ISTA 130 is recommended for most students; CSC 120 or CSC 250 will also satisfy the requirement if available. As an alternative, qualified students may complete both ECE 175 AND BE 205.
SDS graduates applying for jobs will find that SQL and Data Management skills are important. Beginning in Fall 2023, enrollment in DATA 363 will require completion or concurrent enrollment in a course that teaches SQL and Data Management. These skills will be helpful as students work on their projects in DATA 363. Take one course:
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) Either MATH 313 or MATH 310 may be used to fulfill this requirement in the SDS major. However, please note that 310 is no longer offered at UArizona. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3) As of Fall 2024, the enrollment requirements for DATA 363 have changed. Students must complete MATH 129 and a Python course (CSC 110 or ISTA 130) prior to 363. In addition, MATH 313 and an SQL course (ISTA 322) must either be complete or in-progress in the same term as 363.
(4) DATA 467 is offered in-person in fall semesters. Provided we have sufficient enrollment, we plan to offer it online each spring.
(5) DATA 498A is currently primarily a spring course; as of 2024, we are attempting to offer it in fall semesters as well.
The SDS major requires one upper-division elective course. The current courses that will be accepted toward this requirement are listed below. More course options may be added as the program grows; see your academic advisor for details.
Course options:
For B.S. degree with either major: add GEOS 255 as an option for completing lab science sequence; updates to application courses for each major.
CSC 250 added to the list of acceptable alternative programming courses. Applied emphasis, Computer Science emphasis: alternative courses set to replace the discontinued 475B. Applied emphasis, Life Science emphasis: students may now choose between MATH 481 and 485 for their modeling course.
CSC 250 added to the list of acceptable alternative programming courses. DATA 396T, 496T, and 498H added to list of available DATA electives.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
Upon declaring a major in mathematics or statistics & data science, students must select a degree in which the major will appear. We offer your choice of a Bachelor of Arts (B.A.) or Bachelor of Science (B.S.).
These degrees have many common requirements, including minimum units, English composition, and many of the general education courses. There are some differences, however.
Below, you can find the requirements specific to the two degrees. For requirements specific to each major, regardless of degree, see:
Our major checklists also provide a good overview of the requirements for the degree/major of your choice.
As far as the mathematics or statistics coursework is concerned, the B.A. and B.S. are identical.
The requirements for the two degrees differ only in the following ways:
(*)CHEM 151 is recommended prior to beginning this sequence.
(**)Additional prerequisites must be met.
Note: B.S. students in either major may satisfy both the Laboratory Science Courses Requirement and the Application Courses Requirement by completing one of the Physics sequences.
For mathematics majors, these courses must have a pre- or co-requisite of at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Eng | BE 201, BE 284, BE 428, BE 481A;
|
| Agric & Resource Economics | AREC 304,
AREC 464, AREC 479;
|
| Astronomy | ASTR 250; |
| Atmospheric Sciences | ATMO 430, ATMO 436A, ATMO 469A, ATMO 469B;
|
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466 |
| Biomedical Engineering | BME 214, BME 481B; |
| Civil Engineering | CE 214; |
| Chemical & Environmental Engr | CHEE 201, CHEE 202, CHEE 297, CHEE 481A, CHEE 481B; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 404A, CHEM 480A, CHEM 480B, CHEM 481; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437,
CSC 444, CSC 445, CSC 453, CSC 460, CSC 477, CSC 483;
|
| Computer Science UA South | CSCV 345; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447, ECOL 496N (ECOL 496N not offered recently); |
| Economics | ECON 332,ECON 361; |
| Engineering | ENGR 211C, ENGR 211E, ENGR 211P; |
| Environmental Science | ENVS 420, ENVS 470, ENVS 479; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440, GEOS 469, GEOS 479; |
| Hydrology and Water Resources | HWRS 349A, HWRS 421(HWRS 421 not offered recently), HWRS 431, HWRS 460A; |
| Information Sci, Tech & Arts | ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 480; |
| Materials Science & Engr | MSE 222, MSE 345, MSE 404, MSE 415; |
| Mathematics | MATH 493; |
| Optical Sciences | OPTI 201R, OPTI 303, OPTI 495B; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143*, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241,PHYS 261H; *Note: PHYS 143 is only 2 units; 6 units are required. |
| Physiology | PSIO 303, PSIO 305, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Retailing & Consumer Science | RCSC 216; |
| Systems & Industrial Engr | SIE 250, SIE 265; |
| Wildlife & Fisheries Science | WFSC 444, WFSC 445; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. | |
For statistics & data science majors, we now recommend taking ISTA 322 to fulfill 3 units of this requirement. If you have enrolled in ISTA 322 and want it to fulfill an application course, please email the Math Center. The courses listed below must have a pre- or co-requisite of a statistics course or at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Engineering | BE 201, BE 284, BE 423, BE 428, BE 485; |
| Animal & Comp Biomed Sciences | ACBS 313; |
| Aerospace & Mechanical Engr | AME 472 |
| Astronomy | ASTR 250; |
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466; |
| Civil Engineering | CE 214, CE 310, CE 449; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 404A, CHEM 480A, CHEM 480B; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437, CSC 444, CSC 445, CSC 453, CSC 460, CSC 477, CSC 483, CSCV 345; |
| Statistics & Data Science | DATA 493; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447; |
| Economics | ECON 332, ECON 361; |
| Engineering | ENGR 211C; |
| Environmental Science | ENVS 420, ENVS 470; |
| Epidemiology | EPID 452, EPID 479; |
| Geosciences | GEOS 322, GEOS 356, GEOS 434A, GEOS 469, GEOS 479; |
| Information Sci, Tech & Arts | ISTA 321, ISTA 350, ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 416A, MCB 480; |
| Materials Science & Engr | MSE 345, MSE 404; |
| Neuroscience & Cognitive Sci | NSCS 344; |
| Optical Sciences | OPTI 201R; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143*, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241, PHYS 261H; *Note: PHYS 143 is only 2 units; 6 units are required. |
| Physiology | PSIO 303, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Range Management | RAM 456; |
| Renewable Natural Resources | RNR 321, RNR 417, RNR 473; |
| Systems & Industrial Engr | SIE 250, SIE 265, SIE 422, SIE 496; |
| Sociology | SOC 476; |
| Wildlife & Fisheries Science | WFSC 444, WFSC 445; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. |
Students pursuing a second major that has a degree title different from that of the first major are technically double degree students. Additional requirements may apply to double degree students that do not pertain to double major students (students with two majors that have exactly the same degree title). See an advisor for details.
Every undergraduate degree program at the University of Arizona requires satisfaction of the MCWA. a grade of A or B in ENGL 102, ENGL 108 (for ESL students), or ENGL 109H (for qualified students) will satisfy the requirement. If you earn less than a B in your second-semester composition course, you have several options for completing the MCWA. You may:
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible emphases:
Each emphasis requires at least 15 units of 400-level mathematics course work, and each emphasis, except Mathematics Education, requires the student to complete a minor outside the math department. Courses in minors must be distinct from those in the major.
The complete official requirements for each emphasis are given in the University Catalog in the form of an Academic Advisement Report (ADVIP). Below we cover the portion of the requirements specific to the mathematics major. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which additional courses would strengthen their degree program.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
All math and SDS majors are required to complete a computer programming course, regardless of the degree and emphasis selected. Choose one course:(1)
All seven emphases for the B.A./B.S. require the following core courses, which should ideally be completed by the end of the sophomore year.
(1)CSC 110, CSC 250, or ISTA 130 is recommended for most students. Other courses that can be used to satisfy the programming requirement are: CSC 120, CSC 127A, CSC 227, ECE 175, MIS 301, NSCS 311, and PHYS 305. These latter courses may require prior programming experience, additional prerequisites and/or a major or minor declared in another subject.
(2)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(3) MATH 313 replaces MATH 215, which is no longer offered. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(4)MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It is prerequisite for more theoretical 400-level courses in the major. Students who do not do well in MATH 323 should speak to an advisor about their choice of major/emphasis. MATH 396L, the Wildcat Proofs Workshop, is a 1 unit supplemental instruction course intended to give students additional practice and guidance in learning proof writing techniques. The 396L course is required for students who earned a C or lower in MATH 313, the prerequisite to 323. Students who earn a D in 313 are required to either repeat 313 for a higher grade or take another course (MATH 243, 315, or CSC 245) before moving on to 323 + 396L.
(5)MATH 355 is the differential equations course that all mathematics majors are expected to take. This course emphasizes the ideas of dynamical systems and makes use of a more sophisticated approach to differential equations. MATH 254 is a differential equations course that is aimed at engineering and science majors. Students with an additional major in engineering or science may ask their math faculty advisors for permission to substitute MATH 254 course for MATH 355 if a scheduling issue arises. Keep in mind that MATH 254 is lower-division - students who take it may need extra upper-division units.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course. MATH 481 (Mathematical Modeling of Fluid Flow through and around Organs and Organisms) may replace MATH 485. If your catalog requirements do not reflect this, please email mathcenter@math.arizona.edu if you enroll so we can adjust your record. The course will begin appearing in advisement reports for Fall 2021.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis covers the minimum requirements for admission to most graduate programs in mathematics or applied mathematics. We have separate information on selecting the appropriate emphasis and courses to prepare for various types of graduate programs. Students selecting the comprehensive emphasis should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject outside the math department is required with this emphasis.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning most of the 400-level courses above. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in proof-intensive 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis. The math major with probability and statistics emphasis differs from the Statistics and Data Science (SDS) major in that it gives more theoretical background. Students who wish to attend graduate school in statistics, economics, or another related field are advised to choose this option instead of (or in addition to) the SDS major. In association with the Graduate Interdisciplinary Program in Statistics & Data Science, we offer an Accelerated Master's Program in Statistics & Data Science.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis is for students preparing to teach mathematics at the secondary school level. The Education emphasis has two main components, a set of courses in mathematics, and a set of pedagogy courses. This emphasis does not require a minor. See the Secondary Math Education Program (SMEP) website for additional information.
The Noyce Interns and Noyce Scholars programs offer experience to students interested in learning more about the teaching profession; see the SMEP website for details and to apply.
Major requirements:
(*) LCEV 408— Methods of Teaching English to English Language Learners - also fulfills this requirement but is not currently available to SMEP students through the College of Education.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in computer science is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students minoring in Computer Science may not double-dip courses with their math major. Students with a double major in Computer Science and Mathematics may be able to double-dip additional courses between the two majors, within reasonable limits. It is important to consult with advisors from both majors when planning your coursework to avoid graduation delays.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis requires either
The minor should be chosen in consultation with an advisor.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor or major in the biological sciences is required for this emphasis. Possibilities include Astrobiology, Biochemistry, Bioinformatics, Biology, Biosystems Engineering, Ecology & Evolutionary Biology, Environmental Sciences, Molecular & Cellular Biology, Pharmaceutical Sciences, Physiology, Physiological Sciences, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. A second major in a life science area may also be used to fulfill the minor requirement. Courses which may be of interest for your minor include: ECOL 320, ECOL 340, ECOL 426, ECOL 453, ECOL 480, ECOL 496J;
MCB 315, MCB 410, MCB 411, MCB 422.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course. MATH 481 (Mathematical Modeling of Fluid Flow through and around Organs and Organisms) may replace MATH 485. If your catalog requirements do not reflect this, please email mathcenter@math.arizona.edu if you enroll so we can adjust your record. The course will begin appearing in advisement reports for Fall 2021.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Statistics & Data Science require the same set of supporting and core coursework. A minor in any subject outside the math department is required with this major.
The information and requirements given here apply to the 2021–2022 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
Note: this program was brand new for Fall 2018. All SDS majors are expected to meet with an advisor in the Math Center at least once a semester.
All SDS majors are required to complete a computer programming course in Python, regardless of the degree selected. Choose one course:(*)
(*)Either CSC 110, CSC 250, or ISTA 130 is recommended for most students; CSC 120 will also satisfy the requirement. As an alternative, qualified students may complete both ECE 175 AND BE 205.
SDS graduates applying for jobs will find that SQL and Data Management skills are important. Beginning in Fall 2023, enrollment in DATA 363 will require completion or concurrent enrollment in a course that teaches SQL and Data Management. These skills will be helpful as students work on their projects in DATA 363. Take one course:
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) Either MATH 313 or MATH 310 may be used to fulfill this requirement in the SDS major. However, please note that 310 is no longer offered at UArizona. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3) As of Fall 2024, the enrollment requirements for DATA 363 have changed. Students must complete MATH 129 and a Python course (CSC 110 or ISTA 130) prior to 363. In addition, MATH 313 and an SQL course (ISTA 322) must either be complete or in-progress in the same term as 363.
(4) DATA 467 is offered in-person in fall semesters. Provided we have sufficient enrollment, we plan to offer it online each spring.
(5) DATA 498A is currently primarily a spring course; as of 2024, we are attempting to offer it in fall semesters as well.
The SDS major requires one upper-division elective course. The current courses that will be accepted toward this requirement are listed below. More course options may be added as the program grows; see your academic advisor for details.
Course options:
For B.S. degree with either major: up to 3 units of internship credit (MATH 493 for math major and DATA 493 for SDS major) may count toward application course requirements.
NSCS 311 added to the list of acceptable alternative programming courses. Minors added to Economics/Business emphasis: Personal & Family Financial Planning, Entrepreneurship, Sports Management, and Marketing. Minor added to Life Sciences emphasis: Pharmaceutical Sciences.
Update to course number and title for last required course: DATA 498A - Capstone for Statistics and Data Science. Allow alternative pair of courses to fulfill programming requirement: ECE 175 AND BE 205 together can satisfy.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
Upon declaring a major in mathematics or statistics & data science, students must select a degree in which the major will appear. We offer your choice of a Bachelor of Arts (B.A.) or Bachelor of Science (B.S.).
These degrees have many common requirements, including minimum units, English composition, and many of the general education courses. There are some differences, however.
Below, you can find the requirements specific to the two degrees. For requirements specific to each major, regardless of degree, see:
As far as the mathematics or statistics coursework is concerned, the B.A. and B.S. are identical.
The requirements for the two degrees differ only in the following ways:
(*)CHEM 151 is recommended prior to beginning this sequence.
(**)Additional prerequisites must be met.
(*)Up to 3 units of 493 internship credit under the appropriate prefix (MATH/DATA) may apply to application course requirements for Mathematics & SDS majors, respectively.
For mathematics majors, these courses must have a pre- or co-requisite of at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Eng | BE 201, BE 284, BE 428, BE 481A;
|
| Astronomy | ASTR 250; |
| Atmospheric Sciences | ATMO 421C (ATMO 421C no longer offered), ATMO 436A, ATMO 469A, ATMO 469B; |
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 463A, BIOC 466 |
| Biomedical Engineering | BME 481B; |
| Civil Engineering | CE 214; |
| Chemical & Environmental Engr | CHEE 201, CHEE 201L, CHEE 202, CHEE 301A, CHEE 481A, CHEE 481B; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 326, CHEM 404A, CHEM 480A, CHEM 480B, CHEM 481; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437 (CSC 437 not offered recently), CSC 445, CSC 453, CSC 460, CSC 477; |
| Computer Science UA South | CSCV 345; |
| Electrical & Computer Engr | ECE 381A, ECE 429; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447, ECOL 496N (ECOL 496N not offered recently); |
| Economics | ECON 332,ECON 361; |
| Engineering | ENGR 211C, ENGR 211P; |
| Environmental Science | ENVS 420, ENVS 470; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440 (GEOS 440 not offered recently), GEOS 469, GEOS 479; |
| Hydrology and Water Resources | HWRS 421(HWRS 421 not offered recently), HWRS 431, HWRS 460A; |
| Information Sci, Tech & Arts | ISTA 352, ISTA 421; |
| Molecular & Cellular Biology | MCB 315, MCB 480; |
| Materials Science & Engr | MSE 345, MSE 404, MSE 415; |
| Mathematics | MATH 493* |
| Optical Sciences | OPTI 201R, OPTI 303; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143, PHYS 151 (PHYS 151 not offered recently), PHYS 152 (PHYS 152 not offered recently), PHYS 161H, PHYS 162H, PHYS 240, PHYS 241, PHYS 251 (PHYS 251 not offered recently),PHYS 261H; |
| Physiology | PSIO 303, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Systems & Industrial Engr | SIE 250, SIE 265; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. | |
For statistics & data science majors, these courses must have a pre- or co-requisite of a statistics course or at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Engineering | BE 201, BE 284, BE 423, BE 428; |
| Animal & Comp Biomed Sciences | ACBS 313; |
| Aerospace & Mechanical Engr | AME 472 |
| Astronomy | ASTR 250; |
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466; |
| Biomedical Engineering | BME 481B; |
| Civil Engineering | CE 214; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 326, CHEM 404A, CHEM 480A, CHEM 480B; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437, CSC 445, CSC 453, CSC 460, CSC 477, CSCV 345; |
| Statistics & Data Science | DATA 493* |
| Electrical & Computer Engr | ECE 381A, ECE 429; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447; |
| Economics | ECON 332, ECON 361; |
| Engineering | ENGR 211C; |
| Environmental Science | ENVS 420, ENVS 470; |
| Epidemiology | EPID 479; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440, GEOS 469, GEOS 479; |
| Information Sci, Tech & Arts | ISTA 321, ISTA 350, ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 315, MCB 416A, MCB 480; |
| Materials Science & Engr | MSE 345, MSE 404, MSE 415; |
| Neuroscience & Cognitive Sci | NSCS 344; |
| Optical Sciences | OPTI 201R; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241, PHYS 261H; |
| Physiology | PSIO 303, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Range Management | RAM 456; |
| Renewable Natural Resources | RNR 417, RNR 473; |
| Systems & Industrial Engr | SIE 250, SIE 265, SIE 422, SIE 496; |
| Sociology | SOC 476; |
| Wildlife & Fisheries Science | WFSC 444; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. |
Note: B.S. students may satisfy both the Laboratory Science Courses Requirement and the Application Courses Requirement by completing one of the Physics sequences.
Students pursuing a second major that has a degree title different from that of the first major are technically double degree students. Additional requirements may apply to double degree students that do not pertain to double major students (students with two majors that have exactly the same degree title). See an advisor for details.
Every undergraduate degree program at the University of Arizona requires satisfaction of the MCWA. a grade of A or B in ENGL 102, ENGL 108 (for ESL students), or ENGL 109H (for qualified students) will satisfy the requirement. If you earn less than a B in your second-semester composition course, you have several options for completing the MCWA. You may:
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible emphases:
Each emphasis requires at least 15 units of 400-level mathematics course work, and each emphasis, except Mathematics Education, requires the student to complete a minor outside the math department. Courses in minors must be distinct from those in the major.
The complete official requirements for each emphasis are given in the University Catalog in the form of an Academic Advisement Report (ADVIP). Below we cover the portion of the requirements specific to the mathematics major. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which additional courses would strengthen their degree program.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
All math and SDS majors are required to complete a computer programming course, regardless of the degree and emphasis selected. Choose one course:(1)
All seven emphases for the B.A./B.S. require the following core courses, which should ideally be completed by the end of the sophomore year.
(1)Either CSC 110 or ISTA 130 is recommended for most students. Other courses that can be used to satisfy the programming requirement are: CSC 120, CSC 127A, CSC 227, ECE 175, MIS 301, NSCS 311, and PHYS 305. These latter courses may require prior programming experience, additional prerequisites and/or a major or minor declared in another subject.
(2)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I. They are equivalent to the old MATH 124 course, which is no longer offered.
(3) MATH 313 replaces MATH 215, which is no longer offered. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(4)MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It is prerequisite for more theoretical 400-level courses in the major. Students who do not do well in MATH 323 should speak to an advisor about their choice of major/emphasis. MATH 396L, the Wildcat Proofs Workshop, is a 1 unit supplemental instruction course intended to give students additional practice and guidance in learning proof writing techniques. The 396L course is required for students who earned a C or lower in MATH 313, the prerequisite to 323. Students who earn a D in 313 are required to either repeat 313 for a higher grade or take another course (MATH 243, 315, or CSC 245) before moving on to 323 + 396L.
(5)MATH 355 is the differential equations course that all mathematics majors are expected to take. This course emphasizes the ideas of dynamical systems and makes use of a more sophisticated approach to differential equations. MATH 254 is a differential equations course that is aimed at engineering and science majors. Students with an additional major in engineering or science may ask their math faculty advisors for permission to substitute MATH 254 course for MATH 355 if a scheduling issue arises. Keep in mind that MATH 254 is lower-division - students who take it may need extra upper-division units.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B after spring 2020. We will still offer MATH 475A going forward, and have approved some alternatives to MATH 475B for students who may have planned to complete the MATH 475A/475B sequence, which is part of the Applied emphasis: Students may take MATH 475A + one from {MATH 413, 424, 443, 445, 447, 454, 456, 464}. These options will not appear in current advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above, and we will make the adjustment for you.
(**) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course. Starting in Spring 2021, MATH 481 (Mathematical Modeling of Fluid Flow through and around Organs and Organisms) may replace MATH 485 OR may be used as the 5th course. Email mathcenter@math.arizona.edu if you enroll so we can adjust your record. The course will begin appearing in advisement reports for Fall 2021.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis covers the minimum requirements for admission to most graduate programs in mathematics or applied mathematics. We have separate information on selecting the appropriate emphasis and courses to prepare for various types of graduate programs. Students selecting the comprehensive emphasis should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject outside the math department is required with this emphasis.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning most of the 400-level courses above. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in proof-intensive 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis. The math major with probability and statistics emphasis differs from the Statistics and Data Science (SDS) major in that it gives more theoretical background. Students who wish to attend graduate school in statistics, economics, or another related field are advised to choose this option instead of (or in addition to) the SDS major. In association with the Graduate Interdisciplinary Program in Statistics, we offer an Accelerated Master's Program in Statistics.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis is for students preparing to teach mathematics at the secondary school level. The Education emphasis has two main components, a set of courses in mathematics, and a set of pedagogy courses. This emphasis does not require a minor. See the Secondary Math Education Program (SMEP) website for additional information.
The Noyce Interns and Noyce Scholars programs offer experience to students interested in learning more about the teaching profession; see the SMEP website for details and to apply.
Major requirements:
(*) TLS 416— An Introduction to Structured English Immersion - also fulfills this requirement but is not currently available to SMEP students through the College of Education.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in computer science is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B after spring 2020. We will still offer MATH 475A going forward, and have approved some alternatives to MATH 475B for students who may have planned to complete the MATH 475A/475B sequence, which is part of the Computer Science emphasis: Students may take MATH 475A + one from {MATH 422, 424, 454, 456, 464, 485} . These options will not appear in current advisement reports, so the Math Center will need to make substitutions for students. Please email mathcenter@math.arizona.edu when you enroll in the second course for the "sequence" as listed above, and we will make the adjustment for you.
(**) Students minoring in Computer Science may not double-dip courses with their math major. Students with a double major in Computer Science and Mathematics may be able to double-dip additional courses between the two majors, within reasonable limits. It is important to consult with advisors from both majors when planning your coursework to avoid graduation delays.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis requires either
The minor should be chosen in consultation with an advisor.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor or major in the biological sciences is required for this emphasis. Possibilities include Astrobiology, Biochemistry, Bioinformatics, Biology, Biosystems Engineering, Ecology & Evolutionary Biology, Environmental Sciences, Molecular & Cellular Biology, Pharmaceutical Sciences, Physiology, Physiological Sciences, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. A second major in a life science area may also be used to fulfill the minor requirement. Courses which may be of interest for your minor include: ECOL 320, ECOL 340, ECOL 426, ECOL 453, ECOL 480, ECOL 496J;
MCB 315, MCB 410, MCB 411, MCB 422.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course. Starting in Spring 2021, MATH 481 (Mathematical Modeling of Fluid Flow through and around Organs and Organisms) may replace MATH 485. Email mathcenter@math.arizona.edu if you enroll so we can adjust your record. The course will begin appearing in advisement reports for Fall 2021.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Statistics & Data Science require the same set of supporting and core coursework. A minor in any subject outside the math department is required with this major.
The information and requirements given here apply to the 2020–2021 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
Note: this program was brand new for Fall 2018. All SDS majors are expected to meet with an advisor in the Math Center at least once a semester.
All SDS majors are required to complete a computer programming course, regardless of the degree selected. Choose one course:(*)
(*)Either CSC 110 or ISTA 130 is recommended for most students. As an alternative, more advanced students may use CSC 120 to fill the requirement. Contact the Computer Science department for more information about placement into CSC 120. Students may complete both ECE 175 AND BE 205 to fulfill the requirement.
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I. They are equivalent to the old MATH 124 course, which is no longer offered.
(2) Either MATH 313 or MATH 310 may be used to fulfill this requirement in the SDS major. However, please note that 310 has a prerequisite of MATH 254. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3) DATA 375 was offered for the first time in Spring 2019; hereafter it will be offered every fall and spring semester.
(4) Students who have completed MATH 313 and MATH/DATA 363 AND are declared SDS majors or minors will receive assistance from the Math Center to enroll in MATH 464, bypassing the MATH 323 prerequisite. Once there are enough SDS majors to support independent courses, we plan to open new versions with the appropriate prerequisites.
(5) DATA 467 was offered for the first time Fall 2019; hereafter it will be offered every fall semester.
(6) DATA 498A was offered for the first time in Spring 2020; hereafter it will be offered every spring semester.
The SDS major requires one upper-division elective course. The current courses that will be accepted toward this requirement are listed below. More course options will be added as the program grows; see your academic advisor for details.
Course options:
For B.S. degree with either major: additional GEOS options added to complete lab science sequence; Mid-Career Writing Assessment (MCWA) now fulfilled by either an A or B in ENGL 102/108/109H OR a passing grade in ENGL 307/308/313 (for students who earn a C or D in ENGL 102/108/109H).
CSC 120 fulfills programming requirement for students who place out of CSC 110; Economics/Business emphasis now includes MATH 462 as a choice for the elective courses, and the Personal & Family Fin Planning major may be used to fulfill the minor requirement for students working on both majors in the same degree; Life Science emphasis now includes the Bioinformatics major as an option to satisfy the minor requirement for students working on both majors in the same degree; Education emphasis allows for either TLS 416 or LCEV 408 to satisfy SEI requirements.
CSC 120 fulfills programming requirement for students who place out of CSC 110; capstone course "Intro to Data Science" has been proposed with a different number (DATA 469).
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
Upon declaring a major in mathematics or statistics & data science, students must select a degree in which the major will appear. We offer your choice of a Bachelor of Arts (B.A.) or Bachelor of Science (B.S.).
These degrees have many common requirements, including minimum units, English composition, and many of the general education courses. There are some differences, however.
Below, you can find the requirements specific to the two degrees. For requirements specific to each major, regardless of degree, see:
As far as the mathematics or statistics coursework is concerned, the B.A. and B.S. are identical.
The requirements for the two degrees differ only in the following ways:
(*)CHEM 151 is recommended prior to beginning this sequence.
(**)Additional prerequisites must be met.
For mathematics majors, these courses must have a pre- or co-requisite of at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Eng | BE 201, BE 284, BE 428, BE 481A;
|
| Astronomy | ASTR 250; |
| Atmospheric Sciences | ATMO 421C (ATMO 421C no longer offered), ATMO 436A, ATMO 469A, ATMO 469B; |
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 463A, BIOC 466 |
| Biomedical Engineering | BME 481B; |
| Civil Engineering | CE 214; |
| Chemical & Environmental Engr | CHEE 201, CHEE 201L, CHEE 202, CHEE 301A, CHEE 481A, CHEE 481B; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 326, CHEM 404A, CHEM 480A, CHEM 480B, CHEM 481; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437 (CSC 437 not offered recently), CSC 445, CSC 453, CSC 460, CSC 477; |
| Computer Science UA South | CSCV 345; |
| Electrical & Computer Engr | ECE 381A, ECE 429; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447, ECOL 496N (ECOL 496N not offered recently); |
| Economics | ECON 332,ECON 361; |
| Engineering | ENGR 211C, ENGR 211P; |
| Environmental Science | ENVS 420, ENVS 470; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440 (GEOS 440 not offered recently), GEOS 469, GEOS 479; |
| Hydrology and Water Resources | HWRS 421(HWRS 421 not offered recently), HWRS 431, HWRS 460A; |
| Information Sci, Tech & Arts | ISTA 352, ISTA 421; |
| Molecular & Cellular Biology | MCB 315, MCB 480; |
| Materials Science & Engr | MSE 345, MSE 404, MSE 415; |
| Optical Sciences | OPTI 201R, OPTI 303; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143, PHYS 151 (PHYS 151 not offered recently), PHYS 152 (PHYS 152 not offered recently), PHYS 161H, PHYS 162H, PHYS 240, PHYS 241, PHYS 251 (PHYS 251 not offered recently),PHYS 261H; |
| Physiology | PSIO 303, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Systems & Industrial Engr | SIE 250, SIE 265; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. | |
For statistics & data science majors, these courses must have a pre- or co-requisite of a statistics course or at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Engineering | BE 201, BE 284, BE 423, BE 428; |
| Animal & Comp Biomed Sciences | ACBS 313; |
| Aerospace & Mechanical Engr | AME 472 |
| Astronomy | ASTR 250; |
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466; |
| Biomedical Engineering | BME 481B; |
| Civil Engineering | CE 214; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 326, CHEM 404A, CHEM 480A, CHEM 480B; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437, CSC 445, CSC 453, CSC 460, CSC 477, CSCV 345; |
| Statistics & Data Science | DATA 493 |
| Electrical & Computer Engr | ECE 381A, ECE 429; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447; |
| Economics | ECON 332, ECON 361; |
| Engineering | ENGR 211C; |
| Environmental Science | ENVS 420, ENVS 470; |
| Epidemiology | EPID 479; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440, GEOS 469, GEOS 479; |
| Information Sci, Tech & Arts | ISTA 321, ISTA 350, ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 315, MCB 416A, MCB 480; |
| Materials Science & Engr | MSE 345, MSE 404, MSE 415; |
| Neuroscience & Cognitive Sci | NSCS 344; |
| Optical Sciences | OPTI 201R; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241, PHYS 261H; |
| Physiology | PSIO 303, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Range Management | RAM 456; |
| Renewable Natural Resources | RNR 417, RNR 473; |
| Systems & Industrial Engr | SIE 250, SIE 265, SIE 422, SIE 496; |
| Sociology | SOC 476; |
| Wildlife & Fisheries Science | WFSC 444; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. |
Note: B.S. students may satisfy both the Laboratory Science Courses Requirement and the Application Courses Requirement by completing one of the Physics sequences.
Students pursuing a second major that has a degree title different from that of the first major are technically double degree students. Additional requirements may apply to double degree students that do not pertain to double major students (students with two majors that have exactly the same degree title). See an advisor for details.
Every undergraduate degree program at the University of Arizona requires satisfaction of the MCWA. a grade of A or B in ENGL 102, ENGL 108 (for ESL students), or ENGL 109H (for qualified students) will satisfy the requirement. If you earn less than a B in your second-semester composition course, you have several options for completing the MCWA. You may:
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible emphases:
Each emphasis requires at least 15 units of 400-level mathematics course work, and each emphasis, except Mathematics Education, requires the student to complete a minor outside the math department. Courses in minors must be distinct from those in the major.
The complete official requirements for each emphasis are given in the University Catalog in the form of an Academic Advisement Report (ADVIP). Below we cover the portion of the requirements specific to the mathematics major. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which additional courses would strengthen their degree program.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
All math and SDS majors are required to complete a computer programming course, regardless of the degree and emphasis selected. Choose one course:(2)
All seven emphases for the B.A./B.S. require the following core courses, which should ideally be completed by the end of the sophomore year.
(1)Either CSC 110 or ISTA 130 is recommended for most students. Other courses that can be used to satisfy the programming requirement are: CSC 120, CSC 127A, CSC 227, ECE 175, MIS 301, and PHYS 305. These latter courses may require prior programming experience, additional prerequisites and/or a major or minor declared in another subject.
(2)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I. They are equivalent to the old MATH 124 course, which is no longer offered.
(3) MATH 313 replaces MATH 215, which is no longer offered. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(4)MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It is prerequisite for more theoretical 400-level courses in the major. Students who do not do well in MATH 323 should speak to an advisor about their choice of major/emphasis. MATH 396L, the Wildcat Proofs Workshop, is a 1 unit supplemental instruction course intended to give students additional practice and guidance in learning proof writing techniques. The course is optional, but recommended!
(5)MATH 355 is the differential equations course that all mathematics majors are expected to take. This course emphasizes the ideas of dynamical systems and makes use of a more sophisticated approach to differential equations. MATH 254 is a differential equations course that is aimed at engineering and science majors. Students with an additional major in engineering or science may ask their math faculty advisors for permission to substitute MATH 254 course for MATH 355 if a scheduling issue arises.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis covers the minimum requirements for admission to most graduate programs in mathematics or applied mathematics. We have separate information on selecting the appropriate emphasis and courses to prepare for various types of graduate programs. Students selecting the comprehensive emphasis should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject outside the math department is required with this emphasis.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning most of the 400-level courses above. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in proof-intensive 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis. The math major with probability and statistics emphasis differs from the Statistics and Data Science (SDS) major in that it gives more theoretical background. Students who wish to attend graduate school in statistics, economics, or another related field are advised to choose this option instead of (or in addition to) the SDS major. In association with the Graduate Interdisciplinary Program in Statistics, we offer an Accelerated Master's Program in Statistics.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis is for students preparing to teach mathematics at the secondary school level. The Education emphasis has two main components, a set of courses in mathematics, and a set of pedagogy courses. This emphasis does not require a minor. See the Secondary Math Education Program (SMEP) website for additional information.
The Noyce Interns and Noyce Scholars programs offer experience to students interested in learning more about the teaching profession; see the SMEP website for details and to apply.
Major requirements:
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in computer science is required with this emphasis.
Major requirements:
(*) Students minoring in Computer Science may not double-dip courses with their math major. Students with a double major in Computer Science and Mathematics may be able to double-dip additional courses between the two majors, within reasonable limits. It is important to consult with advisors from both majors when planning your coursework to avoid graduation delays.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis requires either
The minor should be chosen in consultation with an advisor.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor or major in the biological sciences is required for this emphasis. Possibilities include Astrobiology, Biochemistry, Bioinformatics, Biology, Biosystems Engineering, Ecology & Evolutionary Biology, Environmental Sciences, Molecular & Cellular Biology, Physiology, Physiological Sciences, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. A second major in a life science area may also be used to fulfill the minor requirement. Courses which may be of interest for your minor include: ECOL 320, ECOL 340, ECOL 426, ECOL 453, ECOL 480, ECOL 496J; MCB 315, MCB 410, MCB 411, MCB 422.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Statistics & Data Science require the same set of supporting and core coursework. A minor in any subject outside the math department is required with this major.
The information and requirements given here apply to the 2019–2020 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
Note: since this program was brand new for Fall 2018, the Advisement Reports may still have some issues to be worked out. All SDS majors are expected to meet with an advisor in the Math Center at least once a semester.
All SDS majors are required to complete a computer programming course, regardless of the degree selected. Choose one course:(*)
(*)Either CSC 110 or ISTA 130 is recommended for most students. As an alternative, more advanced students may use CSC 120 to fill the requirement. Contact the Computer Science department for more information about placement into CSC 120.
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I. They are equivalent to the old MATH 124 course, which is no longer offered.
(2) Either MATH 313 or MATH 310 may be used to fulfill this requirement in the SDS major. However, please note that 310 has a prerequisite of MATH 254. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3) DATA 375 was offered for the first time in Spring 2019; hereafter it will be offered every fall and spring semester.
(4) Students who have completed MATH 313 and MATH/DATA 363 AND are declared SDS majors or minors will receive assistance from the Math Center to enroll in MATH 464 for the 2018-19 and 2019-20 academic years, bypassing the MATH 323 prerequisite. Once there are enough SDS majors to support independent courses, we will open new versions with the appropriate prerequisites.
(5) DATA 467 will be offered for the first time Fall 2019; hereafter it will be offered every fall semester.
(6) DATA 469 will be offered for the first time in Spring 2020; thereafter it will be offered every spring semester.
The SDS major requires one upper-division elective course. The current courses that will be accepted toward this requirement are listed below. More course options will be added as the program grows; see your academic advisor for details.
Course options:
For B.S. degree with either major, Chemistry course offerings have changed: Honors courses have new numbers (161/163 and 162/164); new Quantitative option available to satisfy lab science (141/143 and 142/144).
No significant changes to Mathematics major; see B.A./B.S. for changes to supporting requirements.
New major in Statistics & Data Science approved.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
Upon declaring a major in mathematics or statistics & data science, students must select a degree in which the major will appear. We offer your choice of a Bachelor of Arts (B.A.) or Bachelor of Science (B.S.).
These degrees have many common requirements, including minimum units, English composition, and many of the general education courses. There are some differences, however.
Below, you can find the requirements specific to the two degrees. For requirements specific to each major, regardless of degree, see:
As far as the mathematics or statistics coursework is concerned, the B.A. and B.S. are identical.
The requirements for the two degrees differ only in the following ways:
For mathematics majors, these courses must have a pre- or co-requisite of at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Eng | BE 201, BE 284, BE 428, BE 481A;
|
| Astronomy | ASTR 250; |
| Atmospheric Sciences | ATMO 421C (ATMO 421C no longer offered), ATMO 436A, ATMO 469A, ATMO 469B; |
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 463A, BIOC 466 |
| Biomedical Engineering | BME 481B; |
| Civil Engineering | CE 214; |
| Chemical & Environmental Engr | CHEE 201, CHEE 201L, CHEE 202, CHEE 301A, CHEE 481A, CHEE 481B; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 326, CHEM 404A, CHEM 480A, CHEM 480B, CHEM 481; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437 (CSC 437 not offered recently), CSC 445, CSC 453, CSC 460, CSC 477; |
| Computer Science UA South | CSCV 345; |
| Electrical & Computer Engr | ECE 381A, ECE 429; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447, ECOL 496N (ECOL 496N not offered recently); |
| Economics | ECON 332,ECON 361; |
| Engineering | ENGR 211C, ENGR 211P; |
| Environmental Science | ENVS 420, ENVS 470; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440 (GEOS 440 not offered recently), GEOS 469, GEOS 479; |
| Hydrology and Water Resources | HWRS 421(HWRS 421 not offered recently), HWRS 431, HWRS 460A; |
| Information Sci, Tech & Arts | ISTA 352, ISTA 421; |
| Molecular & Cellular Biology | MCB 315, MCB 480; |
| Materials Science & Engr | MSE 345, MSE 404, MSE 415; |
| Optical Sciences | OPTI 201R, OPTI 303; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143, PHYS 151 (PHYS 151 not offered recently), PHYS 152 (PHYS 152 not offered recently), PHYS 161H, PHYS 162H, PHYS 240, PHYS 241, PHYS 251 (PHYS 251 not offered recently),PHYS 261H; |
| Physiology | PSIO 303, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Systems & Industrial Engr | SIE 250, SIE 265; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. | |
For statistics & data science majors, these courses must have a pre- or co-requisite of a statistics course or at least Calculus I (MATH 122B or higher). Choose from the following:
| Agric & Biosystems Engineering | BE 201, BE 284, BE 423, BE 428; |
| Animal & Comp Biomed Sciences | ACBS 313; |
| Aerospace & Mechanical Engr | AME 472 |
| Astronomy | ASTR 250; |
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466; |
| Biomedical Engineering | BME 481B; |
| Civil Engineering | CE 214; |
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 326, CHEM 404A, CHEM 480A, CHEM 480B; |
| Computer Science | CSC 345, CSC 422, CSC 433, CSC 436, CSC 437, CSC 445, CSC 453, CSC 460, CSC 477, CSCV 345; |
| Electrical & Computer Engr | ECE 381A, ECE 429; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447; |
| Economics | ECON 332, ECON 361; |
| Engineering | ENGR 211C; |
| Environmental Science | ENVS 420, ENVS 470; |
| Epidemiology | EPID 479; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440, GEOS 469, GEOS 479; |
| Information Sci, Tech & Arts | ISTA 321, ISTA 350, ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 315, MCB 416A, MCB 480; |
| Materials Science & Engr | MSE 345, MSE 404, MSE 415; |
| Neuroscience & Cognitive Sci | NSCS 344; |
| Optical Sciences | OPTI 201R; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241, PHYS 261H; |
| Physiology | PSIO 303, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Range Management | RAM 456; |
| Renewable Natural Resources | RNR 417, RNR 473; |
| Systems & Industrial Engr | SIE 250, SIE 265, SIE 422, SIE 496; |
| Sociology | SOC 476; |
| Wildlife & Fisheries Science | WFSC 444; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. |
Note: B.S. students may satisfy both the Laboratory Science Courses Requirement and the Application Courses Requirement by completing one of the Physics sequences.
Students pursuing a second major that has a degree title different from that of the first major are technically double degree students. Additional requirements may apply to double degree students that do not pertain to double major students (students with two majors that have exactly the same degree title). See an advisor for details.
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible emphases:
Each emphasis requires at least 15 units of 400-level mathematics course work, and each emphasis, except Mathematics Education, requires the student to complete a minor outside the math department. Courses in minors must be distinct from those in the major.
The complete official requirements for each emphasis are given in the University Catalog in the form of an Academic Advisement Report (ADVIP). Below we cover the portion of the requirements specific to the mathematics major. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which additional courses would strengthen their degree program.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
All math and SDS majors are required to complete a computer programming course, regardless of the degree and emphasis selected. Choose one course:(2)
All seven emphases for the B.A./B.S. require the following core courses, which should ideally be completed by the end of the sophomore year.
(1)Either CSC 110 or ISTA 130 is recommended for most students. Other courses that can be used to satisfy the programming requirement are: CSC 127A, CSC 227, ECE 175, MIS 301, MSE 350, and PHYS 305. These latter courses may require prior programming experience, additional prerequisites and/or a major or minor declared in another subject.
(2)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I. They are equivalent to the old MATH 124 course, which is no longer offered.
(3) MATH 313 replaces MATH 215, which is no longer offered. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(4)MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It is prerequisite for more theoretical 400-level courses in the major. Students who do not do well in MATH 323 should speak to an advisor about their choice of major/emphasis. MATH 396L, the Wildcat Proofs Workshop, is a 1 unit supplemental instruction course intended to give students additional practice and guidance in learning proof writing techniques. The course is optional, but recommended!
(5)MATH 355 is the differential equations course that all mathematics majors are expected to take. This course emphasizes the ideas of dynamical systems and makes use of a more sophisticated approach to differential equations. MATH 254 is a differential equations course that is aimed at engineering and science majors. Students with an additional major in engineering or science may ask their math faculty advisors for permission to substitute MATH 254 course for MATH 355 if a scheduling issue arises.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis covers the minimum requirements for admission to most graduate programs in mathematics or applied mathematics. We have separate information on selecting the appropriate emphasis and courses to prepare for various types of graduate programs. Students selecting the comprehensive emphasis should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject outside the math department is required with this emphasis.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning most of the 400-level courses above. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in proof-intensive 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis. The math major with probability and statistics emphasis differs from the Statistics and Data Science (SDS) major in that it gives more theoretical background. Students who wish to attend graduate school in statistics, economics, or another related field are advised to choose this option instead of (or in addition to) the SDS major. In association with the Graduate Interdisciplinary Program in Statistics, we offer an Accelerated Master's Program in Statistics.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis is for students preparing to teach mathematics at the secondary school level. The Education emphasis has two main components, a set of courses in mathematics, and a set of pedagogy courses. This emphasis does not require a minor. See the Secondary Math Education Program (SMEP) website for additional information.
The Noyce Interns and Noyce Scholars programs offer experience to students interested in learning more about the teaching profession; see the SMEP website for details and to apply.
Major requirements:
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in computer science is required with this emphasis.
Major requirements:
(*) Students minoring in Computer Science may not double-dip courses with their math major. Students with a double major in Computer Science and Mathematics may be able to double-dip additional courses between the two majors, within reasonable limits. It is important to consult with both major advisors when planning your coursework to avoid graduation delays.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
This emphasis requires either
The minor should be chosen in consultation with an advisor.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2018–2019 catalog. For other catalog years, please consult the archive.
The Academic Advising Report (ADVIP) gives complete degree requirements:
A minor in the biological sciences is required for this emphasis. Possibilities include Astrobiology, Biochemistry, Biology, Biosystems Engineering, Ecology & Evolutionary Biology, Environmental Sciences, Molecular & Cellular Biology, Physiology, Physiological Sciences, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. A second major in a life science area may also be used to fulfill the minor requirement. Courses which may be of interest for your minor include: ECOL 320, ECOL 340, ECOL 426, ECOL 453, ECOL 480, ECOL 496J; MCB 315, MCB 410, MCB 411, MCB 422.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Statistics & Data Science require the same set of supporting and core coursework. A minor in any subject outside the math department is required with this major.
The information and requirements given here apply to the 2018–2019 catalog. Fall 2018 is the first term for which the major in SDS is available.
The Academic Advising Report (ADVIP) gives complete degree requirements:
Note: since this program is brand new for Fall 2018, the Advisement Reports may still have some issues to be worked out. All SDS majors are expected to meet with an advisor in the Math Center at least once a semester.
All SDS majors are required to complete a computer programming course, regardless of the degree selected. Choose one course:
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I. They are equivalent to the old MATH 124 course, which is no longer offered.
(2) Either MATH 313 or MATH 310 may be used to fulfill this requirement in the SDS major. However, please note that 310 has a prerequisite of MATH 254. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3) MATH 375 has been proposed to begin Spring 2019, to be offered every fall and spring semester thereafter. Course number and title are tentative.
(4) Students who have completed MATH 313 and MATH 363 AND are declared SDS majors or minors will receive assistance from the Math Center to enroll in MATH 464 for the 2018-19 and 2019-20 academic years, bypassing the MATH 323 prerequisite. Once there are enough SDS majors to support independent courses, we will open new versions with the appropriate prerequisites.
(5) MATH 467 has been proposed to begin Fall 2019, to be offered every fall semester thereafter. Course number and title are tentative.
(6) MATH 465 has been proposed to begin Spring 2020, to be offered every spring semester thereafter. Course number and title are tentative.
The SDS major requires one upper-division elective course. The current courses that will be accepted toward this requirement are listed below. More course options will be added as the program grows; see your academic advisor for details.
Course options:
The University Administration has decided to eliminate the degree program in Engineering Mathematics. The Dean of Engineering has stated that students currently enrolled as Engineering Mathematics students (as of Spring, 2009) can still graduate with this degree as long as they finish before May, 2011. All Engineering Mathematics students should meet with their advisor before pre-registration for this fall to ensure that all degree requirements can be fullfilled by May 2011. Students not able to do this will need to change their major. The Applied Mathematics Option with a minor in Engineering may be a good alternative.
To better align with the new Data Science B.S., we have revised the Bachelor of Arts in SDS as follows (we do not plan to offer a B.A. in Data Science):​
Upon declaring a major in mathematics, students must select a degree in which the major will appear. We offer your choice of a Bachelor of Arts (B.A.) or Bachelor of Science (B.S.).
These degrees have many common requirements, including minimum units, English composition, and general education courses. There are some differences, however.
Below, you can find the requirements specific to the two degrees. For requirements specific to the major, regardless of degree, see:
Our major checklists also provide a good overview of the requirements for the degree/major of your choice.
As far as the mathematics coursework is concerned, the B.A. and B.S. are identical.
The requirements for the two degrees differ only in the following ways:
**Note: These requirements changed significantly in Spring 2022 to coincide with a new General Education program. If you entered the university in 2021 or earlier, see here for your B.A. degree requirements.**
**Note: These requirements changed significantly in Spring 2022 to coincide with a new General Education program. If you entered the university in 2021 or earlier, see here for your B.S. degree requirements.**
(*) Lecture and lab must both be taken to constitute one lab science course.
(**) Lecture and lab must both be taken to constitute one lab science course. This option was not approved in time to get into the official requirements for Fall 2025; students from any catalog math email the Math Center to have the adjustment made to their requirements: math-mathcenter@arizona.edu
Note: B.S. students may satisfy both the Application Course Requirement and one of the Laboratory Science Courses by completing one of the Physics courses.
Choose from the following:
| Agric & Biosystems Eng | BE 201, BE 284, BE 428, BE 481A;
|
| Agric & Resource Economics | AREC 304,
AREC 464, AREC 479;
|
| Astronomy | ASTR 250; |
| Atmospheric Sciences | ATMO 430, ATMO 436A, ATMO 469A, ATMO 469B;
|
| Biochemistry | BIOC 462A, BIOC 462B, BIOC 466 |
| Biomedical Engineering | BME 214, BME 481B; |
| Civil Engineering | CE 214; |
| Chemical & Environmental Engr | CHEE 201, CHEE 202,
CHEE 270, CHEE 297, CHEE 481A, CHEE 481B;
|
| Chemistry | CHEM 161, CHEM 162, CHEM 325, CHEM 404A, CHEM 480A, CHEM 480B, CHEM 481; |
| Computer Science | CSC 345, CSC 355, CSC 422, CSC 433, CSC 436, CSC 437,
CSC 444, CSC 445, CSC 453, CSC 460, CSC 477, CSC 483;
|
| Computer Science UA South | CSCV 345; |
| Ecology & Evolutionary Biology | ECOL 302, ECOL 447, ECOL 496N (ECOL 496N not offered recently); |
| Economics | ECON 332,ECON 361; |
| Engineering | ENGR 211C, ENGR 211E, ENGR 211P; |
| Environmental Science | ENVS 420, ENVS 470, ENVS 479; |
| Geography & Development | GEOG 463; |
| Geosciences | GEOS 322, GEOS 356, GEOS 419, GEOS 432, GEOS 434A, GEOS 440, GEOS 469, GEOS 479; |
| Hydrology and Water Resources | HWRS 349A,
HWRS 350, HWRS 421(HWRS 421 not offered recently), HWRS 431, HWRS 460A; |
| Information Sci, Tech & Arts | ISTA 320, ISTA 421, ISTA 450; |
| Molecular & Cellular Biology | MCB 480; |
| Materials Science & Engr | MSE 222, MSE 345, MSE 404, MSE 415; |
| Mathematics | MATH 493; |
| Optical Sciences | OPTI 201R, OPTI 303, OPTI 495B; |
| Physics | PHYS 140, PHYS 141, PHYS 142, PHYS 143*, PHYS 161H, PHYS 162H, PHYS 240, PHYS 241,PHYS 261H; *Note: PHYS 143 is only 2 units; 6 units are required. |
| Physiology | PSIO 303, PSIO 305, PSIO 472; |
| Planetary Sciences | PTYS 407; |
| Retailing & Consumer Science | RCSC 216; |
| Systems & Industrial Engr | SIE 250, SIE 265; |
| Wildlife & Fisheries Science | WFSC 444, WFSC 445; |
| Watershed Management | WSM 460A; |
| or courses approved by your academic advisor. | |
Students pursuing a second major that has a degree title different from that of the first major are technically double degree students. Additional requirements may apply to double degree students that do not pertain to double major students (students with two majors that have exactly the same degree title). See an advisor for details.
Every undergraduate degree program at the University of Arizona requires satisfaction of the MCWA. a grade of A or B in ENGL 102, ENGL 108 (for ESL students), or ENGL 109H (for qualified students) will satisfy the requirement. If you earn less than a B in your second-semester composition course, you have several options for completing the MCWA. You may:
Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible emphases:
Each emphasis requires at least 15 units of 400-level mathematics course work, and each emphasis, except Mathematics Education, requires the student to complete a minor outside the math department. Courses in minors must be distinct from those in the major.
The complete official requirements for each emphasis are given in the University Catalog in the form of an Academic Advisement Report (ADVIP). Below we cover the portion of the requirements specific to the mathematics major. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which additional courses would strengthen their degree program.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
All math and SDS majors are required to complete a computer programming course, regardless of the degree and emphasis selected. One of the following courses is recommended for most students: CSC 110, ISTA 130, ECE 101, or CHEE 205; other options may require additional prerequisites and/or a major or minor declared in another subject.
All seven emphases for the B.A./B.S. require the following core courses, which should ideally be completed by the end of the sophomore year.
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) MATH 313 replaces MATH 215, which is no longer offered. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3)MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It is prerequisite for more theoretical 400-level courses in the major. Students who do not do well in MATH 323 should speak to an advisor about their choice of major/emphasis. MATH 396L, the Wildcat Proofs Workshop, is a 1 unit supplemental instruction course intended to give students additional practice and guidance in learning proof writing techniques. The 396L course is required for students who earned a C or lower in MATH 313, the prerequisite to 323. Students who earn a D in 313 are required to either repeat 313 for a higher grade or take another course (MATH 243, 315, or CSC 245) before moving on to 323 + 396L.
(4)MATH 355 is the differential equations course that all mathematics majors are expected to take. This course emphasizes the ideas of dynamical systems and makes use of a more sophisticated approach to differential equations. MATH 254 is a differential equations course that is aimed at engineering and science majors. Students with an additional major in engineering or science may ask their math faculty advisors for permission to substitute MATH 254 course for MATH 355 if a scheduling issue arises. Keep in mind that MATH 254 is lower-division - students who take it may need extra upper-division units.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email math-mathcenter@arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis covers the minimum requirements for admission to most graduate programs in mathematics or applied mathematics. We have separate information on selecting the appropriate emphasis and courses to prepare for various types of graduate programs. Students selecting the comprehensive emphasis should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject outside the math department is required with this emphasis.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning most of the 400-level courses above. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in proof-intensive 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in any subject outside the math department is required with this emphasis. The math major with probability and statistics emphasis differs from the Statistics and Data Science (SDS) major in that it gives more theoretical background. Students who wish to attend graduate school in statistics, economics, or another related field are advised to choose this option instead of (or in addition to) the SDS major. In association with the Graduate Interdisciplinary Program in Statistics & Data Science, we offer an Accelerated Master's Program in Statistics & Data Science.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis is for students preparing to teach mathematics at the secondary school level. The Education emphasis has two main components, a set of courses in mathematics, and a set of pedagogy courses. This emphasis does not require a minor. See the Secondary Math Education Program (SMEP) website for additional information.
Major requirements:
(*) LCEV 408— Methods of Teaching English to English Language Learners also fulfills this requirement but is not currently available to SMEP students through the College of Education.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor in computer science is required with this emphasis.
Major requirements:
(*) The Math Department has discontinued MATH 475B. We will still offer MATH 475A going forward, and have approved the listed alternatives to MATH 475B. These options will not appear in older advisement reports, so the Math Center will need to make substitutions for students. Please email MATH-mathcenter@arizona.edu when you enroll in the second course for the "sequence" as listed above if your advisement report does not include these options; we will make the adjustment for you.
(**) Students minoring in Computer Science may not double-dip courses with their math major. Students with a double major in Computer Science and Mathematics may be able to double-dip additional courses between the two majors, within reasonable limits. It is important to consult with advisors from both majors when planning your coursework to avoid graduation delays.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
This emphasis requires either
The minor should be chosen in consultation with an advisor.
Major requirements:
Students completing this emphasis are expected to be proficient in proof writing before beginning their 400-level course work. It is recommended that students who do not earn an A or B in MATH 323 speak with an advisor about their selected math major emphasis before enrolling in 400-level courses.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
The Academic Advisement Report (ADVIP) gives complete degree requirements:
A minor or major in the biological sciences is required for this emphasis. Possibilities include Astrobiology, Biochemistry, Bioinformatics (major only), Biology, Biosystems Engineering, Ecology & Evolutionary Biology, Environmental Science, Medicine Thematic, Molecular & Cellular Biology, Pharmaceutical Sciences, Physiology, Physiological and Medical Sciences, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. A second major in a life science area may also be used to fulfill the minor requirement. Courses which may be of interest for your minor include: ECOL 320, ECOL 340, ECOL 426, ECOL 453, ECOL 480, ECOL 496J;
MCB 315, MCB 410, MCB 411, MCB 422.
Major requirements:
(*) Students should plan to take MATH 485 in their final spring semester (it is only offered in spring semesters). In addition to more typical prerequisites, MATH 485 requires completion of at least one 400-level MATH course (422, 454, 456, 464, or 475A). Prerequisites also include linear algebra (313), differential equations (254 or 355), and a programming course.
For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor. Students planning to enroll in three MATH courses in a single semester are advised to talk to their math faculty advisor before finalizing their schedule. The Math Department requires that students enrolling in four or more MATH courses for a single term obtain permission from their math faculty advisor. Note that special courses like Supplemental Instruction, Workshops, Teaching Assistantship enrollment, and Pedagogy courses for the Secondary Math Education Program are not counted toward this limit.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive. This major is new as of 2025.
The following requirements are part of the B.S. (Bachelor of Science) degree, but as supporting requirements, do not count in the major units or GPA.
Students must demonstrate second semester proficiency in a second language for the B.S. degree.
The degree is science-intensive and requires two of the following lab science courses:
(*) Lecture and lab must both be taken to constitute one lab science course.
(**) Lecture and lab must both be taken to constitute one lab science course. This option was not approved in time to get into the official requirements for Fall 2025; students from any catalog math email the Math Center to have the adjustment made to their requirements: math-mathcenter@arizona.edu
A minor is optional for the B.S. in Data Science
The B.S. in Data Science requires a core of basic courses followed by additional courses specific to one of the emphases detailed below. There are currently four emphases available to Main campus students and one for our partner campus at CUEB in Beijing, China; additional Main campus emphases may be added in future.
The following courses are required for all Data Science majors:
(1) ISTA 131 will not substitute for CSC 120 as a prerequisite to future CSC courses for students selecting the Computing emphasis.
(2) MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(3) DATA 201 is a new Building Connections Gen Ed. It was first offered in Spring 2025.
(4) Students who have transfer credit equivalent to MATH 215 may use it to fulfill this requirement, though they will not earn upper-division credit for the course.
(1) CSC 460 Database Design will also fulfill this requirement, but has additional prerequisites.
(2) DATA 396T and 496T are special topics courses. When available, they will usually be offered in spring, and topics covered will vary. Consult an advisor for details and availability.
(3) Three units of DATA 492 or 498H may apply to this requirement; 498H is restricted to Honors College members.
(1) CSC 460 Database Design will also fulfill this requirement, but has additional prerequisites.
(2) DATA 396T and 496T are special topics courses. When available, they will usually be offered in spring, and topics covered will vary. Consult an advisor for details and availability.
(3) Three units of DATA 492 or DATA 498H may apply to this requirement; DATA 498H is restricted to students in the Franke Honors College.
(1) MATH 243 will also fulfill this requirement.
(2) DATA/MATH 363 will also fulfill this requirement.
(1) CSC 460 Database Design will also fulfill this requirement, but has additional prerequisites.
(1) Students at the CUEB campus will enroll in thesis units through their home university that will be used to fulfill
this requirement.
The information and requirements given here apply to the 2025–2026 catalog. For other catalog years, please consult the archive.
The following requirements are part of the B.A. (Bachelor of Arts) degree, but as supporting requirements, do not count in the major units or GPA.
Students must demonstrate fourth semester proficiency in a second language for the B.A. degree.
SDS majors are required to complete a minor in any subject outside of the math department. A second major outside our department may fulfill this requirement provided it is declared within the same B.A. degree.
All SDS majors are required to complete a computer programming course in Python, regardless of the degree selected. Enrollment in DATA 363 requires successful completion of a Python programming course, so students have programming background to help them pick up R and to ensure they are getting Python experience along the way. Choose one course:(*)
(*)Either CSC 110 or ISTA 130 is recommended for most students; CSC 120 or CSC 250 will also satisfy the requirement if available. As an alternative, qualified students may complete both ((ECE 175 or ECE 101) AND BE 205) or both ((ECE 175 or ECE 101) AND CHEE 205). Contact the Math Center if you need any of these alternative courses pulled into your advisement report.
SDS graduates applying for jobs will find that SQL and Data Management skills are important. Enrollment in DATA 363 requires completion of or concurrent enrollment in a course that teaches SQL and Data Management. These skills will be helpful as students work on their projects in DATA 363. Take one course:
(*)DATA 201 has been approved as a Building Connections General Education course.
(1)MATH 122A and MATH 122B are a single-semester sequence of courses that cover Calculus I.
(2) Either MATH 313 or MATH 310 may be used to fulfill this requirement in the SDS major. However, please note that 310 is no longer offered at UArizona. Students who completed MATH 215 prior to fall 2015 or who have transfer credit equivalent to MATH 215 will still fulfill this requirement, though they will not earn upper-division credit for the course.
(3) As of Fall 2024, the enrollment requirements for DATA 363 have changed. Students must complete MATH 129 and a Python course (CSC 110 or ISTA 130) prior to 363. In addition, MATH 313 and an SQL course (ISTA 322) must either be complete or in-progress in the same term as 363.
(4) DATA 467 is offered in-person in fall semesters. Provided we have sufficient enrollment, we plan to offer it online each spring.
(5) DATA 498A is currently primarily a spring course; as of 2024, we are attempting to offer it in fall semesters as well.
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The SDS major requires three elective courses, at least two of which must be upper-division. The courses that will be accepted toward this requirement are listed below.
Course options: