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Fall 2019 Application is open - DEADLINE is Dec. 15, 2018

The Mathematics Department offers Ph.D. and Master's degrees in various areas of Mathematics. Please review the program information and decide which program you would like to apply to before reading the admissions requirements below (the general requirements vary for each program).

Admissions for the Quantitative Finance & Risk Management Master's Degree programs differ from the other programs offered in the Mathematics department. Please visit the Quant admissions page for more information.

Application Timeline

The Mathematics Department's graduate programs only accept applications for Fall semesters. The application for Fall 2019 admission will be available starting in September 2018. The Fall 2019 deadline is December 15, 2018 for all applicants.

General Requirements for Admission

A student must have completed a bachelor's degree at an accredited college or university in order to be considered for admission.

Admissions for the Quantitative Finance & Risk Management Master's Degree programs differ from the other programs offered in the Mathematics department. We are now accepting applications for this program; please visit the Quant admissions page for more information.

Applied & Interdisciplinary Mathematics (AIM) Ph.D. & AIM Master's Admission Requirements
We admit AIM Master's students from a variety of academic backgrounds. More information about admission requirements for the AIM Master's degree programs can be found here.

Successful AIM Ph.D. applicants will demonstrate an interest in an interdisciplinary area of applied mathematics in addition to substantial mathematical ability. Two types of students are generally considered for admission to the AIM Ph.D. program:

  • Mathematics majors with excellent grades in mathematics courses, outstanding GRE scores in the mathematics subject test, and excellent letters of recommendation. The admissions committee will also take into account other scholarly activities such as summer research experience, published papers, or courses in other fields.
  • Non-mathematics majors from the physical, life, or engineering sciences, or from other appropriate areas of study. Such students are expected to have completed at least two upper division mathematics courses, and/or have substantial exposure to mathematics in other courses, and are strongly advised to submit a GRE subject test score for an exam in the major field (in addition to the required GRE mathematics subject test). Other experience in working with mathematics (for instance, summer research positions) will also be taken into account, as well as grade point average and letters of recommendation. Applicants not majoring in mathematics should seriously consider submitting in addition scores from a GRE subject test in their major area.

Mathematics Ph.D. & Mathematics Master's Admission Requirements
The undergraduate major need not be mathematics, but a student should have mastered material roughly equivalent to the undergraduate mathematics major at The University of Michigan including:

  • three semesters of calculus
  • one or two semesters of differential equations
  • one semester courses in modern algebra, linear algebra, geometry or topology
  • advanced calculus of one and several variables

In addition, a student should have completed at least three additional mathematics courses and at least two courses in related fields such as statistics, computer science, or the physical sciences. Students with strong records in less comprehensive programs will be considered for admission but if admitted should expect to spend the first one or two semesters in graduate school completing their undergraduate preparation in mathematics. Based on historical data, we expect that successful applicants to the Ph.D. program will have an overall GPA of at least 3.3 on a 4.0 scale.

Additional Information & Important Items to Remember

Because of the processing time (often more than two months), the GRE and TOEFL or IELTS tests should be taken by October, 2017. Note that for Pure Mathematics, AIM Program and the Actuarial Program, the GRE aptitude (general) and GRE advanced (subject) mathematics tests are required. While there are no minimum acceptable GRE scores, a high standard is expected. No admission action will be taken without the official results.

Letters of recommendation play an especially crucial role in the admission process. At least three letters are required, and up to five may be submitted. Applicants should choose as recommenders people who know their strengths and weaknesses relevant to graduate study in mathematics. The most useful letters are those which list in some detail the accomplishments of the student and make direct comparisons with other students who have succeeded at major U.S. graduate schools. Foreign students already in the U.S. should submit letters from their U.S. institution, whenever possible. Please register your recommenders for the electronic Letters of Recommendation when using the Online Application.

Those students who will have completed a Master's degree in Mathematics by the time they begin studies at The University of Michigan must apply to the Ph.D. program. Others may apply to either program. It is possible, but not automatic, to move from one program to the other.


  • The ETS school code for the University of Michigan Rackham Graduate School is 1839.

Note: All credentials submitted for admission consideration become the property of the University of Michigan and will not be returned in original or copy form.

Additional Information: Please visit the admissions page of the Rackham Graduate School for additional information regarding admission including: Minimum graduate school requirements, residency, application fees and submitting transcripts.

Financial Support for Graduate Students

Master's Programs

Most of our Master's programs do not offer any form of financial support. The one Master's program that offers full support is the Marjorie Lee Browne Scholars program.

Ph.D. Programs

Most students enrolled in the Ph.D. program in Mathematics are granted full financial support including an annual stipend, tuition waiver, and health insurance for a period of five years, subject to satisfactory progress. The Department offers aid in the form of Graduate Student Instructorships, Research Assistantships, and Fellowships.

All entering Ph.D. students will be considered for Graduate Student Instructorships, which normally require four classroom hours of teaching per week plus additional office hours during the Fall and Winter terms. The stipend for such an appointment in 2017 -- 2018 is $10,199 per term. In addition, Graduate Student Instructors receive a full tuition waiver. Teaching duties may involve teaching a section of a first-year calculus or pre-calculus course or serving as an instructor for recitation sections attached to a faculty lecture in multivariable calculus or elementary differential equations.

The Department of Mathematics has many fellowship opportunities, including the Copeland, Glover, Rainich, and Shields Fellowships which may provide a stipend, tuition waiver and in some cases a reduced teaching load. Other fellowships administered by the Rackham Graduate School can be found at their Fellowships office

The University of Michigan is part of the CIC consortium, which also awards fellowships to outstanding underrepresented applicants. Also available are prestigious Rackham Science Award’s given out by the Rackham Graduate School.

After Admission

All new Graduate Student Instructors are required to attend an orientation and training program which is held the week before classes begin. New Graduate Student Instructors whose native language is not English must pass an English Evaluation which tests the specific oral skills needed for classroom teaching and are required to attend a three-week cultural orientation program starting in July.

Research Assistantships are awarded mainly to senior Ph.D. students to relieve them of teaching duties during the final part of their dissertation research. Students at this point may also compete for Rackham Dissertation Fellowships, which provide full support for one year, or Research Partnerships. A small number of positions as paper-graders for the larger advanced courses is available each term.

Some additional funds are often available for support during the summer. More advanced students who are actively involved in research may be supported from NSF grants awarded to faculty members. For other students there is a limited number of Departmental fellowships and a few teaching positions are available. No advanced graduate courses are offered in either the Spring or Summer half-terms and students are encouraged to spend some of their summers working in government or industry.

If you have any questions regarding the application process, please contact the Department of Mathematics at (734) 615-3439. You can also e-mail us at: