Multivariable functions and partial derivatives. Gradients. Optimization including Lagrange multipliers. Polar coordinates. Multiple integrals. Surface integrals on spheres and cylinders. Introduction to Fourier Series. [Offered: F,W,S] Prereq: MATH 128 or 138 or 148. Antireq: AMATH 231, MATH 212, 212N, 217, 227, 237, 247