Mathematical Analytics & Operations Research, Bachelor of Science College of Letters & Science
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.
The Program
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.
Career Alternatives
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.
Major Advisors
For a current list of faculty and staff advisors, see Math Department Advising or contact Student Services.
Mathematics Placement Requirement
Students who wish to enroll in MAT 012, MAT 017A, MAT 019A, 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.
Department Honors
Students who meet the minimum GPA requirement for honors at graduation for 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.
Graduate Study
The Department offers programs of study and research leading to M.A. and Ph.D. degrees in Mathematics. Information regarding graduate study may be obtained by consulting our website or contacting Student Services.
The major requirements below are in addition to meeting University Degree Requirements & College Degree Requirements; unless otherwise noted. The minimum number of units required for the Mathematical Analytics & Operations Research Bachelor of Science is 94.
| Code | Title | Units |
|---|---|---|
| Preparatory Subject Matter | ||
| Mathematics | ||
| MAT 021A | Calculus | 4 |
| MAT 021B | Calculus | 4 |
| MAT 021C | Calculus | 4 |
| MAT 021D | Vector Analysis | 4 |
| Linear Algebra & Proof-Writing | ||
| Choose one option: | 4-8 | |
(a) | ||
| Linear Algebra | ||
| Introduction to Abstract Mathematics | ||
or | ||
| Linear Algebra with Applications to Biology | ||
| Introduction to Abstract Mathematics | ||
| or | ||
(b) | ||
| Modern Linear Algebra | ||
| MATLAB | 0-1 | |
| Linear Algebra Computer Laboratory | ||
Equivalent MATLAB knowledge. 1 | ||
| Differential Equations | 3-4 | |
| Differential Equations with Applications to Biology | ||
or MAT 022B | Differential Equations | |
| Programming | ||
| ECS 032A | Introduction to Programming | 4 |
| or ECS 032AV | Introduction to Programming | |
| or ENG 006 | Engineering Problem Solving | |
| Economics | ||
| ECN 001A | Principles of Microeconomics | 4 |
| or ECN 001AV | Principles of Microeconomics | |
| or ECN 001AY | Principles of Microeconomics | |
| ECN 001B | Principles of Macroeconomics | 4 |
| or ECN 001BV | Principles of Macroeconomics | |
| Statistics | ||
| STA 032 | Gateway to Statistical Data Science | 4 |
| or STA 100 | Applied Statistics for Biological Sciences | |
| Preparatory Subject Matter Subtotal | 39-45 | |
| Depth Subject Matter | ||
| A. Core Courses | ||
| MAT 127A | Real Analysis | 4 |
| MAT 127B | Real Analysis | 4 |
| MAT 127C | Real Analysis | 4 |
| MAT 135A | Probability | 4 |
| MAT 135B | Stochastic Processes | 4 |
| MAT 150A | Modern Algebra | 4 |
| MAT 168 | Optimization | 4 |
| MAT 170 | Mathematics for Data Analytics & Decision Making 2 | 4 |
| Choose one: | 4 | |
| Numerical Analysis | ||
| Numerical Analysis in Solution of Equations | ||
| Numerical Analysis in Differential Equations | ||
| B. Enrichment Courses | ||
| 1. Enrichment A | ||
| Choose two: | 8 | |
| Introduction to Mathematical Statistics | ||
| Introduction to Mathematical Statistics | ||
| Applied Time Series Analysis | ||
| Fundamentals of Statistical Data Science | ||
| Data & Web Technologies for Data Analysis | ||
| Big Data & High Performance Statistical Computing | ||
| 2. Enrichment B | ||
| Choose two: | 8 | |
| Intermediate Micro Theory: Consumer & Producer Theory | ||
or ARE 100A | Intermediate Microeconomics: Theory of Production & Consumption | |
| Intermediate Micro Theory: Imperfect Competition & Market Failure | ||
or ARE 100B | Intermediate Microeconomics: Imperfect Competition, Markets & Welfare Economics | |
| Industrial Organization | ||
| Industrial Organization | ||
| Theory of Games & Strategic Behavior | ||
| Financial Economics | ||
or ECN 134Y | Financial Economics | |
| Operations Research & Management Science | ||
| Introduction to Mathematical Economics | ||
| Analysis for Operations & Production Management | ||
| C. Capstone Course | ||
| Choose one: | 3-4 | |
| Number Theory | ||
| Partial Differential Equations: Eigenfunction Expansions | ||
| Ordinary Differential Equations | ||
| Stochastic Processes | ||
| Algebraic Combinatorics | ||
| Modern Algebra | ||
| Modern Algebra | ||
| Special Topics | ||
| Complex Analysis | ||
| Advanced Problem Solving | ||
| Internship in Applied Mathematics (Must take 3 units.) | ||
| Undergraduate Thesis | ||
| Depth Subject Matter Subtotal | 55-56 | |
| Total Units | 94-101 | |
- 1
Note: Basic knowledge of MATLAB is required for both MAT 022A and MAT 067. Students can learn it on their own, enroll in ENG 006, or in the 1 unit course MAT 022AL (can be taken concurrently).
- 2
Please note that MAT 170 has a prerequisite of MAT 167, or MAT 128B, or ECS 130. MAT 167 or MAT 128B can be used to satisfy one of the two required Enrichment A courses.
- 3
Excluding MAT 180, core courses, and courses being used as a capstone.