21-259 Calculus in Three Dimensions

10 units, Carnegie Mellon University

Vectors, lines, planes, quadratic surfaces, polar, cylindrical and spherical coordinates, partial derivatives, directional derivatives, gradient, divergence, curl, chain rule, maximum-minimum problems, multiple integrals, parametric surfaces and curves, line integrals, surface integrals, Green-Gauss theorems. (Three 50 minute lectures, two 50 minute recitations)

Prerequisites: 21-122

Offered: Spring 2027, Fall 2026, Summer 2026, Spring 2026, Fall 2025

Courseweave needs JavaScript to show sections, workloads and planning tools.