The written PhD qualifying exam, also called the PhD Comprehensive Examination, is administered twice yearly, during the two weeks just prior to the start of the Spring semester (January exam) and Fall semester (August exam). The qualifying exam is offered in six separate sections, out of which students need to pass three:

- Applied Mathematics
- Geometry & Topology
- Abstract Algebra
- Complex Analysis
- Numerical Analysis
- PDEs (discontinued)
- Real Analysis

The Geometry & Topology and Partial Differential Equations sections were added in August 2013 and 2011, respectively, while the Applied Mathematics exam was offered for the first time in August 2014. Two Applied Mathematics practice exams are available here and here. In addition to the past PDE exams listed below, two sample PDE exams are available here and here. Sample problems for the Geometry & Topology exam are posted here.

Please consult the Graduate Handbook for current rules and timelines about taking the exam.

Applied Mathematics | Diff Geo & Topology | Abstract Algebra | Complex Analysis | Numerical Analysis | Real Analysis | |||||||

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