UNIVERSITY OF WATERLOO · CANADA
Master's and PhD in Applied Mathematics
Master's · Taught in en
At a glance
24 mo
Duration
6.5
IELTS
—
Tuition / yr
en
Language
Master's
Level
- 2 yearsMMath Duration
- 4 yearsPhD Duration
- Thesis-based researchProgram Focus
- Interdisciplinary course selection encouragedCurriculum Flexibility
- Comprehensive exams and thesis defenseAcademic Milestones
- Lecturing requirement for PhDPhD Specifics
The University of Waterloo offers thesis-based Master of Mathematics (MMath) and Doctor of Philosophy (PhD) degrees in Applied Mathematics. The MMath program typically takes two years to complete, while the PhD program usually requires four years. Admission to the PhD program generally requires a prior thesis-based Master's degree, though Master's students may apply for direct transfer to the PhD program after one year by passing an exam. Students work closely with a supervisor and an advisory committee to select courses that broaden their knowledge in mathematics and its applications, often drawing from other departments within the Faculties of Mathematics, Science, and Engineering. The Master's thesis is a comprehensive research study assessed by a committee, culminating in a defense presentation and questioning. PhD students also have an advisory committee and undergo annual progress meetings and a comprehensive examination in their second year, where they defend a research proposal. PhD candidates are also required to complete a lecturing requirement by teaching an undergraduate course, typically after gaining experience as a teaching assistant.
Curriculum
Students select courses in consultation with their supervisor and the Graduate Officer, fulfilling a departmental breadth requirement. The focus is on developing a broad understanding of mathematics and its applications.
- Master's
- Master's Thesis
- PhD
- Comprehensive Examination and Research Proposal Defense
- PhD Thesis
- Lecturing Requirement
Careers
Graduates with a degree in Applied Mathematics are well-prepared for diverse career paths.
- Data Scientist
- Analyst
- Researcher
- Quantitative Trader
- Operations Research Specialist
Frequently asked questions
- What are the typical durations for the Master's and PhD programs in Applied Mathematics?
- The MMath program typically takes two years to complete, while the PhD program usually requires four years.
- What are the academic requirements for admission to the PhD program?
- Admission to the PhD program generally requires a prior thesis-based Master's degree. Master's students may apply for direct transfer to the PhD program after one year by passing an exam.
- What English language proficiency tests are accepted, and what are the minimum scores?
- Accepted tests include IELTS Academic (6.5 overall, 6.5 in writing/speaking), TOEFL iBT (90 overall, 25 in writing/speaking before Jan 2026; 4.5 overall, 5 in writing/speaking from Jan 2026), and PTE Academic (63 overall, 65 in writing/speaking).
- How is the tuition fee determined for international students?
- International students should refer to the Tuition Fee Estimator for current estimates of tuition and incidental fees for the 2026/2027 academic year. Official fees will be based on rates effective upon program start.
- What are the career prospects for graduates of the Applied Mathematics program?
- Graduates are well-prepared for roles such as Data Scientist, Analyst, Researcher, Quantitative Trader, and Operations Research Specialist.
- Are there any specific requirements for PhD students outside of research and coursework?
- Yes, PhD candidates are required to complete a lecturing requirement by teaching an undergraduate course, typically after gaining experience as a teaching assistant.
Entry requirements
Master's DegreeTypically required for PhD admission. Some Master's students may transfer to PhD after one year.
IELTS Academic6.5 overall, with 6.5 in writing and speaking, and 6.0 in reading and listening
TOEFL iBT90 overall, with 25 in writing and speaking (for tests completed before January 21, 2026); 4.5 overall with 5 in writing and speaking (for tests completed as of January 21, 2026)
PTE Academic63 overall, with 65 in writing and speaking
English language proficiency test scores are required if your first language is not English AND your four most recent years of full-time education have not been in an English-language school system. Exceptions may apply for students educated in Canada or in an English-language school system. Test results must be sent directly from the testing agency. Scores completed on or after May 1, 2024, are accepted.
Fees
Tuition (international)Refer to the Tuition Fee Estimator for current estimates. The estimator provides an estimate of tuition and incidental fees.
Tuition (home)Refer to the Tuition Fee Estimator for current estimates. The estimator provides an estimate of tuition and incidental fees.
LivingThe Tuition Fee Estimator does not include costs such as off-campus housing, groceries, or textbooks.
The Tuition Fee Estimator is based on approved rates for the 2026/2027 academic year and assumes a Fall 2026 start. It does not include costs for preliminary English language training programs. Official tuition fees will be based on the rates in effect when you begin your program.
How to apply
1. Check Program PageReview the specific program page for application deadlines, as some may be extended. Check the requirements and any program-specific application elements such as work samples or interviews.
2. Gather DocumentsPrepare all required academic documents, including official transcripts. If you do not meet English language proficiency requirements through education, gather official test scores from accepted tests (IELTS, TOEFL, PTE).
3. Submit ApplicationComplete the online application through the applicant portal. This includes completing the Declaration of Academic Experience to confirm English language test requirements.
4. Pay Application FeeA fee is typically required for application submission.
5. Application ReviewThe admissions committee will review your application and supporting documents.
Frequently asked questions
What are the typical durations for the Master's and PhD programs in Applied Mathematics?
+
The MMath program typically takes two years to complete, while the PhD program usually requires four years.
What are the academic requirements for admission to the PhD program?
+
Admission to the PhD program generally requires a prior thesis-based Master's degree. Master's students may apply for direct transfer to the PhD program after one year by passing an exam.
What English language proficiency tests are accepted, and what are the minimum scores?
+
Accepted tests include IELTS Academic (6.5 overall, 6.5 in writing/speaking), TOEFL iBT (90 overall, 25 in writing/speaking before Jan 2026; 4.5 overall, 5 in writing/speaking from Jan 2026), and PTE Academic (63 overall, 65 in writing/speaking).
How is the tuition fee determined for international students?
+
International students should refer to the Tuition Fee Estimator for current estimates of tuition and incidental fees for the 2026/2027 academic year. Official fees will be based on rates effective upon program start.
What are the career prospects for graduates of the Applied Mathematics program?
+
Graduates are well-prepared for roles such as Data Scientist, Analyst, Researcher, Quantitative Trader, and Operations Research Specialist.
Are there any specific requirements for PhD students outside of research and coursework?
+
Yes, PhD candidates are required to complete a lecturing requirement by teaching an undergraduate course, typically after gaining experience as a teaching assistant.