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MMath programs

MMath (thesis)

Requirements:

Course restriction: Students may not count more than one graduate course that is cross-listed with an undergraduate course for credit towards their MMath (thesis) degree. This restriction applies to all 600-level AMATH courses and any cross-listed courses offered by other departments.

Selection of courses: Courses are selected in consultation with the student's supervisor. Beyond the breadth requirement, there are no other constraints on course selection. We encourage students to select courses that will help them develop a broad knowledge of Mathematics and its applications: appropriate courses are often offered by other departments in the Faculties of Mathematics, Science and Engineering.

Master's thesis: The MMath thesis is a comprehensive study that contributes to the understanding of a research topic, either by relating various approaches in the literature or by developing new methods. An MMath thesis is not required to contain original results. However, it is not uncommon for students - particularly those who have had research experience as undergraduates - to obtain new results that lead to publication in the research literature. For University guidelines on co-authored material in Masters theses please visit the Graduate Studies Office website; additional departmental guidelines apply. 

The Master's thesis is read by a committee that consists of the thesis supervisor and two other faculty members who are knowledgeable about the research area. The supervisor and at least one of the other two committee members must be affiliated with the department of Applied Mathematics.

The student will present his or her results in a thesis defence, which consists of a 20 minute presentation by the candidate, followed by detailed questioning by the committee members. The thesis should be provided to the examining committee at least two weeks before the defence date.

For full details, refer to the Master's Degree Completion Procedures and to the Math Graduate Office website.

Procedure for direct transfer into the PhD program:

A Master's student with an excellent record (normally demonstrated by a grade point average greater than 90%) and strong progress in research may apply for direct transfer into the PhD program after one year of Master's studies. To initiate this process, the student's supervisor must submit a written request to the Graduate Officer. Names of two potential examiners should be included. The request should be accompanied by a statement of research progress to date, written by the student, approximately three pages in length. If the student's record is deemed to be of sufficient standing, the statement of research progress will be forwarded to the examining committee, and the student will be invited to present this summary at a 40 minute presentation followed by questioning by the examining committee.

This examination normally takes place in the student's fourth term. If successful, the student is transferred directly into the PhD program and this examination then retroactively takes the place of the pre-comprehensive seminar, which is used by the student's committee to determine the topics for the comprehensive exam; that exam should take place in the student's fifth term.

Accelerated Master's studies:

The MMath (thesis) program typically takes two years to complete. However, in some cases, students are in a position to complete the degree on an accelerated schedule. In particular, students pursuing their undergraduate degree at the University of Waterloo can position themselves for such an accelerated Master's by carrying out an undergraduate research term prior to completing the BMath degree. This provides a significant head-start to a Master's project in the same research area. In addition, students with strong grades may take a graduate course in their final year of undergraduate studies. If this course is taken for extra credit (i.e. is not used to satisfy the BMath degree requirements), it may be counted toward the MMath course requirements. Following this plan, the Master's degree can be completed in as few as four terms (e.g. spring-fall-winter-spring).

For more resources for graduate students, please visit the Math Graduate Office website.

MMath (research paper)

We are currently accepting students into the MMath (research paper) program for part-time studies only. Part-time students do not receive departmental funding.

Requirements:

  • Seven graduate courses, including a breadth requirement. Candidates for the MMath degree must achieve an average grade of at least 70% in their courses.
  • a Master's research paper

Course restriction: Students may not count more than three graduate courses that are cross-listed with undergraduate courses for credit towards their MMath (research paper) degree. This restriction applies to all 600-level AMATH courses and any cross-listed courses offered by other departments.

Selection of courses: Courses are selected in consultation with the student's supervisor. Beyond the breadth requirement, there are no other constraints on course selection. We encourage students to select courses that will help them develop a broad knowledge of Mathematics and its applications: appropriate courses are often offered by other departments in the Faculties of Mathematics, Science and Engineering.

The Master's research paper is a review paper that is typically prepared over the course of one term. It should be 25-35 pages in length. The Master's research paper is assessed by the research supervisor and one other faculty member. There is no oral examination.

For more resources for graduate students, please visit the Math Graduate Office website.

Detailed descriptions of the following programs can be found in the Graduate Studies Academic Calendar:

  • MMath Applied Mathematics
  • MMath Applied Mathematics (Quantum Information)
  • MMath Applied Mathematics (Water)
  • PhD Applied Mathematics
  • PhD Applied Mathematics (Quantum Information)
  • PhD Applied Mathematics (Water)