MAT237Y1: Multivariable Calculus with Proofs

Hours

72L

Sequences and series. Uniform convergence. Convergence of integrals. Elements of topology in R^2 and R^3. Differential and integral calculus of vector valued functions of a vector variable, with emphasis on vectors in two and three dimensional euclidean space. Extremal problems, Lagrange multipliers, line and surface integrals, vector analysis, Stokes' theorem, Fourier series, calculus of variations.

Prerequisite
MAT137Y1/MAT157Y1/(MAT135H1/MAT135H5, MAT136H1(85%)/MAT136H5 (85%), MAT138H1), MAT223H1/MAT240H1
Exclusion
MAT235Y1, MAT257Y1, MATB41H3, MATB42H3, MATB43H3 & MAT368H5, MAT232H5 & MAT236H5
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)