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Qualifying and Breadth Requirements
Interdisciplinary Track

The Department of Mathematics offers 5 distinct qualifying exams in the following subjects:

Each qualifying exam has a duration of 4 hours, and is offered twice a year (January and August). The syllabi and schedules can be found in the Qualifying Exam section of the Graduate Program web page.

Core Mathematics Courses:

Set I

Set II


Set IV


Math 653/Math 654

Real Analysis

Math 607/Math 608

Diff. Geometry

Math 622/Math623

Applied Analysis

Math 641/Math 642

Discrete Math/Number Theory

Math 613/Math 630/Math 627

Complex Analysis

Math 617/Math 618


Math 636/Math 637

Numerical Analysis

Math 609/Math 610

Qualifying Exam Requirement:

Breadth Requirement:

* Courses for Breadth Requirement:

The following courses can be used to fulfill the breadth requirements in the indicated mathematics areas. Additional courses may be used with the approval of the Graduate Committee. Courses used to fulfill the breadth requirement in the outside discipline are determined by the student's thesis committee.




Math 653, Math 654

Discrete Math/Number Theory

Math 613, Math 630, Math 626, Math 627

Real Analysis
Math 607, Math 608, Math 655, Math 656
Complex Analysis
Math 617, Math 618, Math 650
Differential Geometry
Math 622, Math 623
Math 636, Math 637, Math 643, Math 644
Applied Analysis
Math 611, Math 612, Math 641, Math 642, Math 658, Math 670
Numerical Analysis
Math 609, Math 610, Math 661