Student Learning Outcomes in the PhD Program:
1. Mastery of graduate level mathematics in core areas including at least 2 of analysis, algebra, topology, applied mathematics.
2. Familiarity with the breadth of modern mathematics, by successful completion of a range of advanced courses.
3. Deep knowledge of a specific area of specialization.
4. Ability to accomplish significant mathematical research.
5. Ability to write professional quality mathematics.
6. Ability to present advanced research mathematics to a mathematics audience.
7. Ability to learn advanced mathematics independently.

Student Learning Outcomes in the MA Program:
1. Mastery of graduate level mathematics in core areas including at least 3 of analysis, algebra, topology, applied mathematics.
2. Familiarity with the breadth of modern mathematics, by successful completion of a range of advanced courses.
3. Ability to engage in an independent mathematical project.
4. Ability to communicate mathematics effectively in writing.
5. Ability to present advanced mathematical ideas to a mathematics audience.