*Only MATH 2270H, MATH 3500H, and MATH 3510H are currently being offered on a regular basis

Calculus of functions of two and three variables: Parametric curves and applications to planetary motion. Derivatives, the gradient, Lagrange multipliers. Multiple integration, area, volume, and physical applications; polar, cylindrical, and spherical coordinates.…

Vector algebra and geometry, fundamental concepts of linear algebra, linear transformations, differential calculus of functions of several variables, solutions of linear systems and linear independence, extremum problems and projections. This course and its sequel…

Inverse function theorem and manifolds, integration in several variables, the change of variables theorem. Differential forms, line integrals, surface integrals, and Stokes's Theorem; applications to physics. Eigenvalues, eigenvectors, spectral theorem, and…