Multivariable Calculus

This course explores the calculus of multivariable functions. The course begins with topics such as vectors, quadric surfaces, cylindrical and spherical coordinate systems, vector functions, space curves, and arc length and curvature. Topics in partial derivatives include limits, continuity, tangent planes, chain rule, gradient, extreme values of functions, and Lagrange multipliers. Topics in multiple integrals include iterated integrals, double/triple integrals, change of variables, and applications. The course concludes with an introduction to vector fields, line integrals, and Green’s theorem.