Mathematical Physics degree
Study the very big to the very small. This math is universal.
Look for answers to the universe’s largest questions and launch a dynamic career.
Discover the mathematical and theoretical underpinnings of the laws of nature. From the foundations of quantum theory and its applications in nanotechnology to atmospheric physics, fluid mechanics, and the structure of spacetime in cosmology, Mathematical Physics will give you the advanced mathematical problem-solving skills needed for a wide range of careers.
You'll dig deep into classical mechanics, quantum mechanics, statistical mechanics, and electromagnetism, with elective courses in everything from relativity and astrophysics to fluid mechanics and advanced/applied quantum mechanics.
You can study Mathematical Physics through the Faculty of Mathematics or the Faculty of Science. The programs are similar. It's helpful to look at the courses below for the differences. In Science, you'll learn as a physicist with a strong background in mathematics. In Math, you'll take the perspective of a mathematician, applying your knowledge to physics.
Either way, your career possibilities are infinite (figuratively, of course).
What courses will you take (Faculty of Mathematics program)?
First-year courses
In your first year, you'll take a mixture of Physics, Mathematics, and Computer Science courses to give you the foundations for your upper-year classes. After first year, most of your classes will be Physics and Mathematics courses.
You may also select advanced-stream courses for algebra, calculus, and computer science if you meet the requirements. Details will be sent during course selection in June.
This is a sample schedule. Courses or when a course is offered may change depending on availability.
After first year
About half of the classes you’ll take will be Physics courses, with roughly the other half being Applied Mathematics and Math courses. With your remaining classes, you can choose electives from many of the 100 subject areas at Waterloo.
Customize your degree
You can add additional areas of expertise to your degree by including one or more 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.
What courses will you take (Faculty of Science program)?
First-year courses
Your first year will be a mix of Physics and Mathematics courses to give you the foundations for your upper-year classes. You'll take Physics lab courses (for hands-on experience!), Science breadth courses (a physicist is also a scientist!), and a Science communications course.
After first year, most of your classes will be Physics and Mathematics courses.
September to December
- PHYS 10 – Physics Seminar
- PHYS 121/121L – Mechanics/Laboratory
- MATH 135 – Algebra for Honours Mathematics
- MATH 137 – Calculus 1 for Honours Mathematics
- ENGL 193/COMMST 193 – Communication in the Sciences
- CHEM 120/120L – General Chemistry 1/Laboratory or EARTH 121/121L – Introductory to Earth Sciences/Laboratory
January to April
- PHYS 10 – Physics Seminar
- CS 114 – Principles of Computing for Science
- PHYS 122/122L – Electricity and Magnetism/ Laboratory
- MATH 136 – Linear Algebra 1 for Honours Mathematics
- MATH 138 – Calculus 2 for Honours Mathematics
- CHEM 123 – General Chemistry 2 or EARTH 122/122L – Introductory Environmental Sciences/Laboratory
After first year
About half of the classes you’ll take will be Physics courses and about half will be Math courses, with three of these being fourth-year elective choices geared towards theoretical physics.
For your remaining classes, you can choose electives from the 100 or so subjects at Waterloo. If you’re interested in grad school, be sure to take PHYS 437A/B where you can pursue your own major research project!
Skills you'll develop with this major
- Foundations for theoretical physics
- Advanced mathematical skills
- Qualitative and quantitative analysis
- Systematic, rigorous, and flexible problem solving
- Applied programming and data analysis
- Creative application of knowledge to design new technologies
This isn't an exhaustive list – rather a glimpse into the skills a Mathematical Physics major can provide.
Your experience will be unique, and the skills you develop will depend on your goals; which courses you take; and your involvement with any clubs, jobs, or research projects.
Customize your degree
You can add additional areas of expertise to your degree by including one or more 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 or Faculty of Science
Degree:
Bachelor of Mathematics or Bachelor of Science in Mathematical Physics
Available as a co-op program?
Yes
Available as a regular program?
Yes
Available as a minor?
No
Earn your degree from a top ranking university. Ranked #1 in Canada and #38 globally for physics and among the top five nationally and #47 globally for mathematics, a Mathematical Physics degree from Waterloo will set you apart.
Learn from top researchers. Catch a lecture at the Perimeter Institute for Theoretical Physics, just south of campus, or spend a research term at Waterloo’s Institute for Quantum Computing.
Co-op = relevant paid work experience
In the world's leading co-op program, you'll 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
- Design engineer-quality assurance
- Project engineering support
- Performance engineering co-op student
- Science math peer tutor
- Undergraduate research assistant
- Application programmer
- Quality assurance analyst
Co-op work-study sequence
Starting after first 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 in the spring term after first year if you choose to study through the Faculty of Mathematics.
| 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 | Co-op |
| Fifth | Study | Study | - |
Your first work term will be in the winter term of second year if you choose to study through the Faculty of Science.
| 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 | Co-op | Study |
| Fourth | Co-op | Study | Co-op |
| Fifth | Study | Study | - |
What can you do with a degree in Mathematical Physics?
As a Mathematical Physics graduate, you'll have a powerful blend of advanced mathematics, theoretical modelling, and problem-solving skills, making you valuable in both scientific research and high-level industry roles.
You’ll be able to translate complex real-world systems into precise mathematical frameworks, which opens doors far beyond academia – especially in technology, engineering, finance, software/machine learning, and data-driven fields where abstraction and analytical thinking are essential.
The careers listed below are examples of what you might be able to pursue. Through the courses you take, specializations you choose, extracurriculars, and any work experience you gain, you'll graduate with a degree that's uniquely you and be ready to pursue a career that's right for you!
Data analyst
Working with data, you would uncover patterns and trends that help organizations make smarter decisions. Use spreadsheets or programming tools to organize information and turn numbers into clear, meaningful insights. Each project gives you the chance to solve problems using logic, analysis, and critical thinking.
Actuarial specialist
Apply math and statistics to help insurance companies understand and manage risk. You might predict the likelihood of events like accidents or natural disasters and calculate the financial impact. Through your analysis, you would help guide important decisions that balance risk and cost.
Quantitative analyst (finance)
Within the fast-moving world of finance, use advanced math to model markets and support investment strategies. Analyze trends or build mathematical models that guide trading and financial decisions. Your skills will allow you to turn complex data into strategies that shape how money is managed and invested.
Software developer (mathematical applications)
Design and build software that solves complex problems, often using algorithms based on mathematics. This could include simulations, optimization tools, or data systems. It’s perfect if you enjoy both coding and logical thinking.
Operations research analyst
Help organizations solve complex problems like scheduling, logistics, or resource allocation. By applying mathematical models, Find the most efficient solutions. It’s a practical career where your math skills improve real-world systems.
Financial strategist
Evaluate financial data to help companies make investment or budgeting decisions. Your math skills help you analyze trends and assess risks. It’s a strong option if you’re interested in business and numbers.
Cryptography analyst
Use mathematics to create and break codes that protect information. This work is essential for cybersecurity and secure communication. It’s a fascinating path if you enjoy puzzles and protecting digital systems.
Machine learning engineer (entry-level)
Help build systems that learn from data, such as recommendation algorithms or predictive tools. This role relies heavily on mathematical concepts like linear algebra and probability. It’s a great fit if you’re interested in artificial intelligence.
Simulation and modelling specialist
Create mathematical models to simulate real-world systems, such as weather, traffic, or physical processes. These models help predict outcomes and test ideas safely. It’s ideal if you enjoy applying theory to real-world scenarios.
Risk management analyst
Assess potential risks for organizations, from financial losses to operational challenges. By using mathematical models, you help companies prepare for uncertainty. It’s a career that combines analysis with strategic thinking.
Statistician (entry-level)
Collect, analyze, and interpret data to answer important questions. This could involve designing surveys, running experiments, or working with large datasets. It’s a great choice if you enjoy working with numbers and drawing conclusions.
Technical consultant (math/physics focus)
Advise organizations on solving technical problems that require strong analytical skills. This might include optimizing systems or improving performance using mathematical approaches. It’s a dynamic role where you apply knowledge across industries.
Game developer (physics systems)
Design realistic movement and interactions in video games using physics and mathematics. This could include simulating motion, collisions, or environments. It’s a creative career that blends science with entertainment.
Engineering support specialist (mathematical modelling)
Assist engineering teams by building models that test designs and predict performance. Your insights would help improve products before they’re built. It’s a great option if you enjoy applying math to engineering challenges.
Scientific computing expert
Develop and run large-scale computations to solve scientific or technical problems. This might involve simulations in physics, finance, or engineering fields. It’s ideal if you enjoy programming and using math to tackle complex systems.
Learn about the future of careers in math, coding, and data or the future of careers in science.
Common questions about the program
What's the difference between Mathematical Physics in the Faculty of Science and in the Faculty of Mathematics?
You can earn your Mathematical Physics degree through the Faculty of Mathematics or the Faculty of Science. What's the difference?
- While most of your first-year courses will be similar, you'll take two science breadth courses in the Faculty of Science versus two Computer Science courses in the Faculty of Mathematics.
- You'll take more science or math courses in your upper years depending on which entry program you choose.
- The degree you earn will be either a Bachelor of Mathematics (BMath) through the Faculty of Mathematics or a Bachelor of Science (BSc) through the Faculty of Science.
- Depending on your interests and whether you'd like to earn a math or science degree, you'll apply to one of two entry programs: Mathematics or Physical Sciences (which have different admission requirements). You'll then choose Mathematical Physics as your major within one of these entry programs.
- The courses required to earn your degree will focus more on math or science.
How do the math courses compare to high school?
The math courses in Mathematical Physics are more focused on proving a theory or problem rather than computing or defining a specific answer. This type of math may be very different than your high school math. You may find the math similar to trigonometric identities problems.
How do the physics courses compare to high school?
The physics courses in Mathematical Physics focus on conceptual understanding and application of physical laws and principles rather than memorization. You will not be generating numerical answers to specific problems, but rather general algebraic answers, which you learn to interpret to reveal the more interesting underlying physics.
Admissions
Apply to Mathematics or Physical Sciences and choose Mathematical Physics as your major.
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Questions about courses, programs, requirements, or careers?
Please contact our Faculty of Mathematics recruitment team or the Science recruitment coordinator who can answer any questions you have.
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