These programs are suggestions, and an individual student may have a somewhat different program, depending on their background.
Note: Some courses are offered only in the Fall or only in the Spring.
Sample programs for first-year Ph.D. students (Pure Mathematics)
All MATH students are required to take the courses 525a, 510a and either 535a or 540 eventually, even if they do not plan to take the corresponding exams.
Sample 1. For students with interest in Algebra, Geometry or Topology
| Fall | Spring | ||||
| 510a | Algebra 1 | 510b | Algebra 2 | ||
| 525a | Real Analysis | 520 | Complex Analysis | ||
| 540 | Topology | 535a | Differential Geometry | ||
| 595 | Practicum in Teaching | 500 | Graduate Colloquium |
With this schedule, a student would be well positioned to take the following exams:
- Real Analysis (Spring) and Complex Analysis (next Fall)
- Algebra (next Fall)
- Geometry/Topology (next Fall or next Spring)
Sample 2: For students with interest in Analysis, Differential Equations (PDEs, ODEs) or Probability
| Fall | Spring | ||||
| 507a | Probability 1 | 541a | Statistics 1 | ||
| 525a | Real Analysis 1 | 520 | Complex Analysis | ||
| 555a | PDE | 565a | ODE | ||
| 595 | Practicum in Teaching | 500 | Graduate Colloquium |
With this schedule, a student would be well positioned to take the following exams:
- Real Analysis (Spring) and Complex Analysis (next Fall)
- PDE (Spring) and ODE (next Fall)
- Probability (Spring) and Statistics (next Fall)
Sample programs for first-year Ph.D. students (Applied Mathematics)
| Fall | Spring | ||||
| 555a | PDE | 502a | Numerical Analysis 1 | ||
| 505a | Applied Probability 1 | 541a | Statistics 1 | ||
| 525a | Real Analysis | 525b | Real Analysis 2 | ||
| 595 | Practicum in Teaching | 500 | Graduate Colloquium |
With this schedule, a student would be well positioned to take the following exams:
- Real Analysis (Spring)
- Statistics (next Fall)
- Applied Probability (Spring)
- PDE (Spring) or Numerical Analysis (next Fall)