Overview: Multivariable calculus: Curves in space, arc length and curvature, velocity
and acceleration. Limits and continuity, partial differentiation, local extrema, exact
differentials, chain rule, directional derivative and gradient, Lagrange multipliers, 2nd
derivative test. Double integration, volume and other applications, polar coordinates,
triple integration, cylindrical and spherical coordinates. Vector analysis: Vector fields,
line integrals, path independence, Green's Theorem, surface integrals, Theorems of
Gauss and Stokes.
4 credits. 3 lectures, 2 recitations per week.
Prerequisite: C- in Math 1272.
Audience: Part or the standard 2nd year calculus course for students outside of CSE.
Class pacing may vary depending on term length. Check the class syllabus for details.