Topics covered in Multivariable Calculus include 3-D coordinate system, equations of planes, quadric surfaces, functions of several variables, vector functions, calculus with vector functions, tangent, normal and binormal vectors, arc length and vector functions., curvature, velocity and acceleration, cylindrical coordinates, spherical coordinates, partial derivatives, higher order partial derivatives, chain rule, directional derivatives, tangent planes and linear approximations, gradients, relative and absolute maximums and minimums of functions of several variable, Lagrange multipliers, double integrals, iterated integrals, double and triple integrals in various coordinate systems, applications of double and triple integrals especially mass, center of mass, moments of inertia, and expected value, Green’s Theorem, area of parametric surfaces, vector fields and line integrals, curl and divergence. Permission is required to register for this course.
Prerequisite: AP Calculus AB