Pure Mathematics

student writing on the screen

Go way beyond basic arithmetic.

Study the power, elegance, “how,” and “why” of math. In this rigorous program, you'll cover the spectrum of mathematics — from classical to modern — including geometry, number theory, and logic.

Because Pure Mathematics classes are among the smallest and most cohesive in the Faculty of Mathematics, you’ll get to know both your classmates and your profs. (Profs who are doing ground-breaking research when they’re not in the classroom.) You'll also get the opportunity to get paid work experience through co-op.

Pure Mathematics will provide you with problem-solving skills that can be applied in industry, business, government, or graduate school.

What courses will you take in Pure Mathematics?

First-year courses

During your first year, you'll take a mix of foundational courses in Mathematics, Computer Science, and communications.

In upper years, most of your courses will be in Pure Mathematics with additional math courses.

September to December

  • MATH 135 – Algebra for Honours Mathematics
  • MATH 137 – Calculus 1 for Honours Mathematics
  • Choose one course from
    • CS 115 – Introduction to Computer Science 1
    • CS 135 – Designing Functional Programs
  • One communication skills course
  • One elective

January to April

  • MATH 136 – Linear Algebra 1 for Honours Mathematics
  • MATH 138 – Calculus 2 for Honours Mathematics
  • Choose one course from
    • CS 116 – Introduction to Computer Science 2
    • CS 136 – Elementary Algorithm Design and Data Abstraction
  • Two electives

This is a sample schedule. Courses or when a course is offered may change depending on availability.

After first year

The majority of your required courses will be pure mathematics courses, with additional courses in mathematics. With your remaining classes, you can choose electives from many of the 100 subject areas at Waterloo.

View a list of courses required for your degree.

Sample upper-year courses

PMATH 348 – Fields and Galois Theory
PMATH 365 – Differential Geometry
PMATH 440 – Analytic Number Theory
PMATH 450 – Lebesgue Integration and Fourier Analysis

Customize your degree

You can add additional areas of expertise to your degree by including one of the minors available to all Waterloo students

Once you're a student, advisors can help you explore which minors or specializations may fit into your plans.

Faculty:
Faculty of Mathematics

Degree:
Bachelor of Mathematics in Pure Mathematics

Available as a co-op program?
Yes

Available as a regular program?
Yes

Available as a minor?
Yes

Have fun with other mathies. Join the club! The Pure Math Club organizes academic and social events ranging from student/prof mixers and math contests to board game nights and potlucks.

Add research to your resume. Apply for an Undergraduate Student Research Award and you could spend four paid months working in pure mathematics with a professor.

Co-op = relevant paid work experience

Waterloo's co-op program, the largest in North America, is an amazing way to explore potential careers, learn to interview for jobs, graduate with up to two years of valuable experience — and make money!

Sample co-op job titles

  • Business analyst assistant
  • Data quality engineering
  • Instructional support assistant
  • Policy and research assistant
  • QA automation developer
  • Research assistant
  • Security distributed system engineer

Co-op work-study sequence

Starting in second year, you'll normally alternate between school and work every four months, integrating your classroom learning with real-world experience. You can return to the same employer for a couple of work terms to gain greater knowledge and responsibility or work for different employers to get a broad range of experience.

Your first work term will be after first year (May to August 2026).

Year September to December (Fall) January to April (Winter) May to August (Spring)
First Study Study Co-op
Second Study Co-op Study
Third Co-op Study Co-op
Fourth Study Co-op Study
Fifth Co-op Study -

or halfway through second year (January to April 2027).

Year September to December (Fall) January to April (Winter) May to August (Spring)
First Study Study Off
Second Study Co-op Study
Third Co-op Study Co-op
Fourth Study Co-op Study
Fifth Co-op Co-op Study

Learn more about co-op

What can you do with a degree in Pure Mathematics?

Waterloo Pure Mathematics graduates typically pursue careers in information technology, data analysis, quantitative analysis, and more. They often work for financial institutions, consulting firms, investment firms, and technology companies.

Recent graduates

  • Quantitative Analyst - Millennium Advisors
  • Data Scientist - Robinhood Financial
  • Executive Director - Beijing Leyard Investment
  • Developer - geoLOGIC Systems
  • Threat Intelligence Analyst - Ultimate Software
  • Software Engineer - Google
  • Data Scientist - Chango

Learn about the future of careers in math, coding, and data.

Tuition fees

First-year tuition

Type of fees Tuition (8 months of school)
Domestic (Ontario residents) $9,000
Domestic (Out of province students) $9,000
International (visa students) $60,000
     
  • Estimated amounts listed include incidental fees. Fees based on 2024-25 tuition rates.
  • Visit our financing page to learn about scholarships, estimate your total expenses, and see how co-op can help pay for your education.

Student life in mathematics and computer science

MathSoc

Math Society (MathSoc) is run by students for students and provides a wide range of clubs, services, and social and academic events to make your experience as a Waterloo math student the best it can be.

Campus-wide activities

Our campus is packed with opportunities to get involved, no matter how unique your interests. Between clubs supported by the Waterloo Undergraduate Student Association, sports and recreation, and an incredible range of events, there's something for everyone at Waterloo!

Women in Mathematics

The Women in Mathematics (WiM) community encourages and advocates for women of all ages who are interested in studying math and pursuing a career in a related area.

WiM strives for all genders to be well-represented in mathematics and welcomes people with under-represented gender identities.

Women in Computer Science

Women in Computer Science (WiCS) promotes gender equity for students interested in studying computer science.

WiCS is very active and offers events such as the Big CSters mentoring program, workshops, a speaker series, and panels about diversity in computer science and STEM.

Women in Science, Technology, Engineering, and Mathematics

Women in Science, Technology, Engineering, and Mathematics (WiSTEM) is a student-run club that welcomes all students (regardless of gender) to promote equality in STEM. Opportunities include skills workshops, discussions, homework help, and guest speakers.

Hack the North

As Waterloo Computer Science student, you’ll have the opportunity to participate in competitions such as Hack the North. This hack-a-thon is the largest in Canada and hosted annually at Waterloo.

Admission requirements

Ontario students: six Grade 12 U and/or M courses including

  • Advanced Functions
  • Calculus and Vectors
  • Any 4U English
  • One other 4U course

Recommended course: Grade 11 U Introduction to Computer Science

Admission averages: Individual selection from the mid-80s

We strongly encourage you to participate in the Canadian Senior Mathematics Contest and/or the Euclid Mathematics Contest to enhance your admissions status.

To be considered for entrance scholarships in the Faculty of Mathematics, you must write one or both of the contests. If you complete both contests, we'll use the results of the contest in which you performed best.

How to apply?

Apply to Mathematics and choose Pure Mathematics as your major at the end of first year. Once you've applied, you'll need to complete the Admission Information Form as part of the application process.

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Questions about courses, programs, requirements, or careers?

Please contact our Faculty of Mathematics recruitment coordinator who can answer any questions you have.