Information about the Ph.D. Qualifying Exams

Stanford University Mathematics Department

To qualify for the Ph.D. in the Stanford University Mathematics Department, students must pass two examinations: one in real analysis and one in algebra. The real analysis and algebra exams each consist of two parts. Students are given three hours for each part.

Students must pass both exams by the fall of their second year. Ordinarily first-year students take courses in real analysis and algebra throughout the year to prepare them for the qualifying 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 the following fall.

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 fall. If they pass any of the exams, they thereby fulfill the requirement in those subjects. However, they are in no way penalized for failing either of the exams.

In addition to the qualifying exams, students must satisfactorily complete a course sequence during their first year . This can be fulfilled in one of three ways:

  1. Complex analysis, geometry, and topology (Math 215A, B, C)
  2. Theory of Probability (Math 230A, B, C)
  3. Another sequence approved in advance by the Director of Graduate Studies

Topics covered on the exams:

Exam Schedule:

Unless otherwise noted, the Qualifying 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 Autumn quarter.

Spring Quarter: The exams are held during the first week of the quarter.

      The Algebra Exam is held on Tuesday, 9:30am-12:30pm and 2:00-5:00pm

      The Real Analysis Exam is held on Friday, 9:30am-12:30pm and 2:00-5:00pm

For the start date of the current or future years' quarters please see the academic calendar: http://studentaffairs.stanford.edu/registrar/academic-calendar

Spring 2013

Algebra: Tuesday, April 2rd 9:30am-12:30pm, 2:00-5:00pm, Room: 380F

Real Analysis: Friday, April 5th 9:30am-12:30pm, 2:00-5:00pm, Room: 381T


Click here to see qualifying exams from recent years.

Click here to see the dates of the upcoming qualifying exams.