MAT237Y1

UTSG

Multivariable Calculus with Proofs

Elementary topology in Euclidean space. Differential calculus of vector valued functions of a vector variable. Implicit and inverse function theorems, regular surfaces. Optimization, Lagrange multipliers, multivariable Taylor polynomials. Integral calculus with the Jordan measure. Fubini’s theorem, change of variables. Line and surface integrals. Vector calculus in two- and three-dimensions. Green’s theorem, Divergence theorem, Stokes’ theorem. Fourier series. This course is recommended for students interested in proof-based multivariable calculus with balanced emphasis between theory and applications.

View full details on the UofT Academic Calendar
Prereq: [ MAT133Y1/ ( MAT130H1/ MAT135H1, MAT136H1)/ ( MAT135H5, MAT136H5)/ ( MATA30H3/ MATA31H3, MATA36H3), MAT138H1/ MAT102H5/ MAT246H1]/ ( MAT148H1, MAT149H1)/ MAT137Y1/ MAT137Y5/ ( MAT137H5, MAT139H5)/ ( MATA30H3/ MATA31H3, MATA37H3)/ ( MAT158H1, MAT159H1)/ MAT157Y1/ MAT157Y5/ ( MAT157H5, MAT159H5), MAT223H1/ MATA22H3/ MATA23H3/ MAT240H1/ MAT240H5Breadth: Physical & Mathematical Universes
Easy25%
Useful94%
3
comments
7
ratings

Course Info

DepartmentMAT
CampusUTSG (St. George)
Level200
Hours72L
BreadthPhysical & Mathematical Universes
What do you think of MAT237Y1?

Reviews (3)

From Reddit
Difficulty: 4/5Usefulness: 4/5

MAT237 is definitely harder than MAT137 but at the same time the teaching team is incredible and the content is very interesting. If you found that you personally enjoyed the proof-aspects of MAT137 and struggled mainly due to your studying habits, you can definitely improve upon those going into MAT237 and do much better despite it being harder. The caveat of course is you caring enough about the material to put substantial amounts of effort in.

View on Reddit1 months ago