Tufts University
Department of Mathematics

Requirements for the Master's Degree

The requirements for the Master's degree consist of:
  • The residence requirement.
  • The course requirement.
  • The capstone requirement.
  • The residence requirement

    This requirements is described in the Bulletin.

    The course requirement

    Basic Requirement:
    To qualify for the Master's degree a student completes an approved program of at least nine (9) courses numbered above 100. At least seven (7) of these courses must be numbered 136, 146, 158, or above 164.
    Distribution Requirement:
    For breadth, these nine courses must include at least one course, or a full pass on the related PhD qualifying exam, from each of the following categories:
  • Real analysis: 136, 211, 212
  • Complex analysis: 158, 213 (Students who have previously taken a course in complex analysis can fulfill this requirement by passing a current final examination in Math 158).
  • Algebra: 146, 215, 216
  • Geometry/topology: 167, 168, 217, 218
  • The course work for this requirement must include at least two courses numbered between 200 and 251 (unless only one course is used, due to oral exam credits, in which case it must be so numbered). Any part of this requirement may be fulfilled by equivalent courses with prior approval by the Mathematics Department Graduate Committee. Master's students must complete at least two courses (not counting thesis) each semester until five courses counting towards the degree are satisfactorily completed, unless this requirement is waived by the graduate committee.

    The capstone requirement

    The Master's degree requirements can be completed via either of two options:
    Master's Thesis:
    Most students not continuing to the PhD program complete their requirements by writing an expository paper on a specific topic in mathematics under the direction of a member of the department, and upon completion presenting it before a committee of two or more faculty members. The writing of the thesis can be counted as two of the nine courses for the basic course requirement via numbers 295 and 296.
    Exam:
    Grades awarded on oral exams are under the core PhD requirement below : full pass, Masters' pass, or fail. A student who passes all three of the oral qualifying exams at the full or Masters' level is not required to write a Master's thesis to obtain a Master's degree. While this is the normal option for students continuing to the PhD program, it can also be used to complete the MA or MS degree.