The Major Programs
Mathematics is the study of abstract structures, space, change, and the interrelations of these concepts. It also is the language of the exact sciences.
After completing basic introductory courses such as calculus and linear algebra, students plan an upper division program in consultation with a faculty advisor. Upper division courses include real analysis, probability, modern algebra, as well as a variety of other courses that allow students to further mathematical knowledge and skills that feature their research or career interests. This individualized program can lead to graduate study in pure or applied mathematics, elementary or secondary level teaching, or to other professional goals. It can also reflect a special interest such as computational and applied mathematics, computer science, or statistics, or may be combined with a major in some other field.
A degree in mathematics provides entry to many careers in industry in addition to teaching. For instance, operations research, data analysis, systems analysis, computing, actuarial work, insurance, and financial services are only a few such careers. Mathematics is also a sound basis for graduate work in a variety of fields, such as law, engineering, and economics.
Mathematics Placement Requirement
Students who wish to enroll in MAT 012, MAT 016A, MAT 017A, MAT 021A, MAT 021AH, and MAT 021M must satisfy the mathematics placement requirement by taking an online exam. Students who do not satisfy the requirement will be administratively dropped from these courses. For more information, including preparation tips and how to access the online exam, please see Math Placement Requirement (MPR), well in advance of enrolling.
Students who meet the minimum GPA requirement for honors at graduation from the College of Letters & Science and who complete a senior project as part of MAT 194 or MAT 199 units in consultation with their faculty advisor may also be recommended by the department for graduation with High Honors or Highest Honors. Recommendations will be based on evaluations of students' academic achievements in their major and the quality of their senior project. For complete details, see Honors & Awards.
The Department offers programs of study and research leading to the M.A. and Ph.D. degrees in Mathematics. Information regarding graduate study may be obtained by consulting Graduate Information, and by email.
|Preparatory Subject Matter|
|MAT 021D||Vector Analysis||4|
|Linear Algebra & Proof-Writing|
|Choose one option:||4-8|
|Introduction to Abstract Mathematics|
|Linear Algebra with Applications to Biology|
|Introduction to Abstract Mathematics|
|Modern Linear Algebra|
|Linear Algebra Computer Laboratory|
Equivalent MATLAB knowledge.
|MAT/BIS 027B||Differential Equations with Applications to Biology||3-4|
|or MAT 022B||Differential Equations|
|ECS 032A||Introduction to Programming||4|
|ENG 006||Engineering Problem Solving||4|
|Choose one two-quarter sequence:||8-10|
and Classical Physics
|Introduction to Biology: Essentials of Life on Earth|
and Introduction to Biology: Principles of Ecology & Evolution
and General Chemistry
|Principles of Microeconomics|
and Principles of Macroeconomics
|Gateway to Statistical Data Science|
and Applied Statistics for Biological Sciences
or Other applied preparatory courses approved by your advisor.
|Preparatory Subject Matter Subtotal||39-47|
|Depth Subject Matter|
|A. Core Courses|
|MAT 119A||Ordinary Differential Equations||4|
|MAT 127A||Real Analysis||4|
|MAT 127B||Real Analysis||4|
|MAT 127C||Real Analysis||4|
|MAT 150A||Modern Algebra||4|
|MAT 185A||Complex Analysis||4|
|Numerical Analysis in Solution of Equations|
|Numerical Analysis in Differential Equations|
|B. Enrichment Courses|
|1. Choose two 2||8|
|2. Choose one approved upper division course outside the Department of Mathematics with extensive use of mathematics. Please consult with a math advisor before selecting a course.||4|
|C. Capstone Courses|
|Partial Differential Equations: Eigenfunction Expansions|
|Ordinary Differential Equations|
|Advanced Problem Solving|
|Internship in Applied Mathematics (Must take 3 units.)|
|Depth Subject Matter Subtotal||51-52|