Calculus IV

3.00 credits · Undergraduate

Review of partial differentiation. Chain rule and implicit differentiation. Gradients and directional derivatives. Maxima, minima, and optimization. Double and triple integrals and applications. Changes of variables in multiple integrals, including polar, cylindrical, and spherical coordinates. Divergence and curl of a vector field. Line and surface integrals. Green's Theorem, Stokes' Theorem, and Divergence Theorem.