Catalog Description: Vector algebra and analytic geometry in
2- and 3-dimensions: multivariable differential calculus and tangent planes; multivariable integral calculus; optimization and Lagrange multipliers; vector calculus including Green's and Stoke's theorems. May not be
taken for credit in addition to MAT 203 or 205.
Prerequisites: AMS 161 or MAT 127 or 132 or 142 or 171.
4 creditsÑ3 hours of lecture and 1 hour of recitation
Text: Multivariable Calculus, by Cengage Learning., 9th Edition, Larson
ISBN# 9780547209975
AMS 261 IS ALSO OFFERED DURING SUMMER SCHOOL. CHECK THE SUMMER SCHOOL BULLETIN FOR TIMES.
Topics
1. Vector algebra and analytic geometry in two and three dimensions - 6 hours
2. Multivariate Differential Calculus- partial derivatives and gradients, tangent planes - 6 hours
3. Multivariate Integral Calculus: double and triple integrals, change of variables and Jacobians, polar coordinates, applications to probability - 10 hours
4. Optimization: maxima and minima, Lagrange multipliers - 6 hours
5
. Vector Calculus: vector-valued functions, curves in space, linear integrals, surface integrals, Green's Theorem, Stoke's Theorem - 10 hours
6. Review and Tests - 4 hours