Directional derivative and the chain rule for multivariable functions. Optimization, Lagrange multipliers. Double and triple integrals on simple domains; transformations and Jacobians; change of variable in multiple integrals. Vector fields, divergence and curl. Vector integral calculus: Line and surface integrals, Green’s Theorem, Stokes’ Theorem, Gauss’ Theorem, conservative vector fields. Prereq: MATH 128 or 138; Not open to Mathematics students. Antireq: AMATH 231, MATH 207, 212/ECE 206, MATH 212N, 217, 237, 247
