Course Description: Math 2263, Multivariable Calculus and Vector Analysis

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, 2^nd 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 2^nd year calculus course for students outside of IT.

Text:

Stewart, Calculus, Early Transcendentals, 5^th edition.

Coverage:

Chapter 13 3 lectures Chapter 14 11 lectures Chapter 15 15 lectures Chapter 16, omitting 16.6  13 lectures Total 42 lectures

Class pacing may vary depending on term length. Check the class syllabus for details.