# PhD Qualifying Exams

**Current Requirement:** To qualify for the Ph.D. in Mathematics, students must pass two examinations: one in algebra and one in real analysis.

**Requirement for students starting in Autumn 2023 and later:** To qualify for the Ph.D. in Mathematics, students must choose and pass examinations in two of the following four areas: (i) algebra, (ii) real analysis, (iii) geometry and topology, (iv) applied mathematics.

The exams each consist of two parts. Students are given three hours for each part.

**Topics Covered on the Exams:**

**Timeline for Completion:**

**Current Requirement:** Students must pass both qualifying exams by the autumn of their second year. Ordinarily first-year students take courses in algebra and real analysis throughout the year to prepare them for the exams. The exams are then taken at the beginning of Spring Quarter. A student who does not pass one or more of the exams at that time is given a second chance in Autumn.

Because some students have already taken graduate courses as undergraduates, incoming graduate students are allowed to take either or both of the exams in the autumn. If they pass either or both of the exams, they thereby fulfill the requirement in those subjects. However, they are in no way penalized for failing either of the exams.

**Requirement for students starting in Autumn 2023 and later:** Students must choose and pass two out of the four qualifying exams by the autumn of their second year. Students take courses in algebra, real analysis, geometry and topology, and applied math in the autumn and winter quarters of their first year to prepare them for the exams. The exams are taken during the first week of Spring Quarter. A student who does not pass one or more of the exams at that time is given a second chance in Autumn.

Because some students have already taken graduate courses as undergraduates, incoming graduate students are allowed to take any of the exams in the autumn. If they pass any of the exams, they thereby fulfill the requirement in those subjects. However, they are in no way penalized for failing any of the exams.

### Exam Schedule

Unless otherwise noted, the exams will be held each year according to the following schedule:

**Autumn Quarter:** The exams are held during the week prior to the first week of the quarter.**Spring Quarter:** The exams are held during the first week of the quarter.

The exams are held over two three-hour blocks. The morning block is 9:30am-12:30pm and the afternoon block is 2:00-5:00pm.

For the start date of the current or future years’ quarters please see the Academic Calendar

### Upcoming Exam Dates

#### Autumn 2023

The exams will be held on the following dates:

Tuesday, September 19: Algebra

Wednesday, September 20: Geometry and Topology

Thursday, September 21: Real Analysis