Program Requirements

The Department of Mathematics offers graduate programs leading to the Master of Science (MSc) and Doctor of Philosophy (PhD) degrees in mathematics, in the fields of pure mathematics and applied mathematics. Students admitted to our MSc program are admitted either as "terminal master's" students or as "doctoral stream" students, the latter implying the intent of continuing on to our PhD program. Students admitted to the doctoral-stream master’s program are fully funded for one year at the master’s level. Funding is limited to four years at the PhD level.

  • The MSc can be done on either a part-time or full-time basis.
  • Full-time students normally complete the program in one full year of study.
  • Part-time students may take up to six years to complete the program.

Option 1 - Supervised Research Project Option

1a. Completion of 6 half-courses (or the equivalent combination of half- and full-year courses). The normal course load for full-time graduate students is 3 courses in the fall term and 3 in the spring term. Doctoral-stream students are required to take four half-course credits in core material.

1b. Completion of the Supervised Research Project (MAT 4000Y). This project is intended to give the student the experience of independent study in some area of advanced mathematics, under the supervision of a faculty member. The supervisor and the student, with the approval of the graduate coordinator, decide the topic and program of study. The project is normally undertaken during the summer session, after the other course requirements have been completed, and has a workload roughly equivalent to that of a full-year course.

Option 2 - MSc Thesis Option (less common than option 1)

Students who take this option will be required to take and pass four half-courses and submit an acceptable thesis which should consist of a minimum of 20-pages of scholarly work. A presentation of the thesis results, in the form of a seminar, is required.

The following is a list of the core courses offered to graduate students for the academic year. These are the basic beginning graduate courses. They are designed to help the student broaden and strengthen their general background in mathematics prior to specializing towards a thesis. A complete listing of all graduate courses on offer in a given year is available from the Department of Mathematics website.

Course Codes 

Cross-listed codes 

(Undergraduate)

Course Description

MAT1000HF 

MAT457H1F

Real Analysis 

MAT1001HS

MAT458H1S

Real Analysis II 

MAT1002HS

MAT454H1S

Complex Analysis 

MAT1060HF

 

Partial Differential Equations I

MAT1061HS

 

Partial Differential Equations II

MAT1100HF

 

Algebra I

MAT1101HS

 

Algebra II 

MAT1300HF

 

Topology I

MAT1301HS

 

Topology II

MAT1600HF

 

Mathematical Probability I

MAT1601HS

 

Mathematical Probability II

MAT1850HF

 

Linear Algebra and Optimization

For more information on program requirements, please visit the School of Graduate Studies calendar

Our Courses 

Please have a look at our graduate course listings to see what we are currently offering. 

Graduate Student Handbook 

Have a look at our PDF icon2023-24 Graduate Studies in Mathematics Handbook or important information for new and current students. 

Questions?

If you have any questions about requirements for our graduate programs, please email us at gradinfo@math.toronto.edu