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 W. McCallum et al., Fifth Edition, John Wiley & Sons
Fall 2009 Section
92697 LEC 01 MWF 11:45-12:40PM Loc: Harriman 137 Inst: Xiangmin Jiao
92696 REC R01 M 05:20-06:15PM Loc: Harriman Hall 112 Inst: Peng Zhang
92695 REC R02 TH 03:50-4:45PM Loc: Physics P118 Inst: Peng Zhang
93757 REC R03 W 05:20-06:15PM Loc: Harriman Hall 112 Inst: Peng Zhang
Spring 2010 Sections
52484 LEC 01 MW 02:20-03:40PM Loc: Melville Lbr W0512 Inst: Xiangmin Jiao
52485 REC R01 W 10:40-11:35PM Loc: TBA Inst: TBA
52486 REC R02 TH 02:20-3:15PM Loc: TBA Inst: TBA
52487 REC R03 F 12:50-01:45PM Loc: TBA Inst: TBA
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