Multivariable Calculus - Calculus III
Analytic geometry in three dimensions, vectors and vector functions, planes in three dimensions, chain rule, partial derivatives, and parametric equations. Gradient, delta-epsilon argument of limits of three variables. Continuity, differentiation, contour maps and level curves, equations to tangent planes and tangent vectors to a surface. Vector Analysis. Multiple integrals, line integrals, Lagrange multipliers and optimization questions. Cauchy-Schwartz inequality, The Triangle Inequality.
