Doctor of Philosophy in Mathematics
The Doctor of Philosophy in Mathematics Program (PhD Math) is a doctoral level graduate program that enables students to acquire advanced knowledge in pure and applied mathematics. It enhances the students’ research skills to help them produce quality research outputs and become prolific mathematicians, and future leaders in the academic, industry and professional organizations.
TOTAL NUMBER OF UNITS: 40
REGULAR PHD MATH PROGRAM CHECKLIST
| FIRST YEAR | |||
| First Semester | Second Semester | ||
| Course | Units | Course | Units |
| Math 223 | 3 | Math ____ (Elective 1) | 3 |
| Math 237 | 3 | Math ____ (Elective 2) | 3 |
| Math 240 | 3 | Math ____ (Elective 3) | 3 |
| Total | 9 | Total | 9 |
| SECOND YEAR | |||
| First Semester | Second Semester | ||
| Course | Units | Course | Units |
| Math ____ (Elective 4) | 3 | Math 299 | 1 |
| Math ____ (Elective 5) | 3 | ||
| Math ____ (Elective 6) | 3 | ||
| Total | 9 | Total | 1 |
| THIRD YEAR | |||
| First Semester | Second Semester | ||
| Course | Units | Course | Units |
| Math 400 | 12 | In Residency | |
| Total | 12 | Total | |
STRAIGHT PHD MATH PROGRAM CHECKLIST
| FIRST YEAR | |||
| First Semester | Second Semester | ||
| Course | Units | Course | Units |
| Math 221 | 3 | Math 223 | 3 |
| Math 234 | 3 | Math 232 | 3 |
| Math 222 | 3 | Math 240 | 3 |
| Total | 9 | Total | 9 |
| SECOND YEAR | |||
| First Semester | Second Semester | ||
| Course | Units | Course | Units |
| Math 237 | 3 | Math ____ (Elective 3) | 3 |
| Math 250/251 (Elective 1) | 3 | Math ____ (Elective 4) | 3 |
| Math ____ (Elective 2) | 3 | Math ____ (Elective 5) | 3 |
| Total | 9 | Total | 9 |
| THIRD YEAR | |||
| First Semester | Second Semester | ||
| Course | Units | Course | Units |
| Math ____ (Elective 6) | 3 | Math 299 | 1 |
| Math ____ (Elective 7) | 3 | ||
| Math ____ (Elective 8) | 3 | ||
| Total | 9 | Total | 1 |
| THIRD YEAR | |||
| First Semester | Second Semester | ||
| Course | Units | Course | Units |
| Math ____ (Elective 6) | 3 | Math 299 | 1 |
| Math ____ (Elective 7) | 3 | ||
| Math ____ (Elective 8) | 3 | ||
| Total | 9 | Total | 1 |
| FOURTH YEAR | |||
| First Semester | Second Semester | ||
| Course | Units | Course | Units |
| Math 400 | 12 | In Residency | |
| Total | 12 | Total | |
List of Courses in the PhD Mathematics Program
| Course | Title | Units | Prerequisites |
| Math 223 | Abstract Algebra II | 3.0 | |
| Math 237 | Functional Analysis | 3.0 | |
| Math 240 | Topological Structures | 3.0 | |
| Math 213 | Theory of Differential Equations | 3.0 | COI |
| Math 214 | Dynamical Systems | 3.0 | COI |
| Math 215 | Introduction to Mathematical Modeling | 3.0 | COI |
| Math 216 | Applied Partial Differential Equations | 3.0 | COI |
| Math 217 | Integral Equations | 3.0 | COI |
| Math 218 | Introduction to Applied Mathematics | 3.0 | COI |
| Math 219 | Delay Differential Equations | 3.0 | DE Course |
| Math 224 | Matrix Analysis | 3.0 | Math 222/Equivalent |
| Math 225 | Number Theory with Applications | 3.0 | COI |
| Math 235 | Applied Complex Variable Theory | 3.0 | Math 234 |
| Math 236 | Numerical Analysis | 3.0 | COI |
| Math 238 | Semigroup Theory and Applications | 3.0 | Math 237/COI |
| Math 239 | Numerical Partial Differential Equations | 3.0 | Math 237/COI |
| Math 241 | Algebraic Topology | 3.0 | COI |
| Math 245 | Computational Topology with Applications | 3.0 | Math 241/COI |
| Math 250 | Modern Geometry | 3.0 | None |
| Math 251 | Differential Geometry | 3.0 | Math 240/COI |
| Math 255 | Applied Combinatorics | 3.0 | None |
| Math 256 | Graph Theory | 3.0 | COI |
| Math 260 | Probability and Applications | 3.0 | None |
| Math 280 | Linear and Nonlinear Optimization | 3.0 | COI |
| Math 296 | Selected Topics in Applied Analysis | 3.0 | None |
| Math 298 | Special Topics (May be taken twice) | 3.0 | COI |