Follow up on MATH 141 and a bit of MATH 133. Introductory course to multivariable calculus, polar coordinates, and Taylor series.

Sequences and Series: some review from MATH 141, power series, McLaurin series, Taylor series, convergence properties of Taylor/McLaurin/Power series, Abel's Theorem. Multivariate Functions: simple 3D visualization, contour/level curves, limits and continuity of multivariate functions, partial derivatives, differentiability of multivariate functions, chain rule, Clairaut's Theorem, linearization and tangent planes, optimization (unconstrained, constrained, Lagrangian method), gradient vector, Hessian matrix, Sylvester's property, integrating multivariate functions, integration domain types, change of bounds/domain/order of integration, Fubini's Theorem, area/double integrals, volume/triple integrals, average value of a function. Miscellaneous: 2D polar coordinates, 3D cylindrical and sph...read more

Very nice and patient professor. Always willing to stay after class to answer questions. Responds to emails in a timely manner.

Attend tutorials and do practice problems.