# Planning Your Math Courses

### Should I take harder math courses than what is required?

Many math classes you will take have multiple streams. One stream is intended for students completing a math specialist. These courses are very challenging, rigorous, and often have fewer applications to physics. The other stream is more focused on the applications of math and are very useful in physics. First and second year calculus courses have other streams as well.

The math specialist stream gives a much stronger understanding of math, but most physics students will not find this extra knowledge to be useful in undergraduate physics courses. The more applied math courses provide knowledge that is very useful in physics courses.

PhySU encourages students to take the math courses they are interested in and comfortable with. Otherwise, we suggest taking only the level of math courses that you need for your degree. Higher level math courses are generally not helpful to your physics degree.

### Which first-year calculus course should I take?

See: A guide to first year calculus courses, prepared by the math department.

### Which second-year (multivariate) calculus course should I take?

MAT235: Calculus II

View the course information at: fas.calendar.utoronto.ca/course/mat235y1

You may benefit from taking this course if:

You are more interested in the applications of math than in the theory

You are not comfortable writing proofs

MAT237: Multivariable Calculus

View the course information at: fas.calendar.utoronto.ca/course/mat237y1

You may benefit from taking this course if:

You are interested in both the theory and applications of math

You are enrolled in a Physics Specialist or Physics and Philosophy Specialist, or intend to switch into one of these programs

MAT257: Analysis II

View the course information at: fas.calendar.utoronto.ca/course/mat257y1

You may benefit from taking this course if:

You are enrolled in a Mathematics Specialist or Mathematics and Physics Specialist, or intend to switch into one of these programs

You are more interested in the theory than in the applications of math

You intend to take higher-level Math Specialist courses

### When should I take ODEs? Which course should I take?

MAT244: Introduction to Ordinary Differential Equations

View the course information at: fas.calendar.utoronto.ca/course/mat244h1

This course has lots of overlap with PHY254: Classical Mechanics. Take MAT244 at the same time as PHY254

MAT267H1: Advanced Ordinary Differential Equations

View the course information at: fas.calendar.utoronto.ca/course/mat267h1

This course is intended for math specialists but it has less application in physics. Only take this course if your degree requires it or if you have interest in this course.

### When should I take PDEs? Which course should I take?

APM 346

View the course information at: Academic Calendar

This course is intended for Physics specialists.

MAT 351

View the course information at: Academic Calendar

This course is intended for Mathematics and Physics specialists.