T. Alden Gassert Department of Mathematics and Statistics University of Massachusetts Amherst

Contact information: Lederle Graduate Research Tower 710 N. Pleasant St. Amherst, MA 01003 Office: 1423D gassert@math.umass.edu

Fall 2013 Multivariate calculus (UMass Math 233) Text: Stewart's Calculus: Early Transcentdentals (7th ed.) Brooks/Cole Cengage Learning, 2012. Syllabus

Class notes 12.4 - Cross product 12.5 - Equations of lines and planes 12.6 - Cylinders and quadric surfaces 13.1 - Vector functions and space curves 13.2 - Derivatives and integrals of vector functions 13.3 - Arc length and curvature 13.4 - Motion in space 14.1 - Functions of several variables 14.2 - Limits 14.3 - Partial derivatives 14.4 - Tangent planes 14.5 - Chain rule 14.6 - Directional derivative 14.7 - Maxima and minima 14.8 - Lagrange multipliers 15.1 - Multiple integrals 15.2 - Multiple integrals 15.3 - Double integrals over general regions 15.4 - Double integrals in polar coordinates 15.5 - Probability 16.1 - Vector fields 16.2 - Line integrals 16.3 - Fundamental theorem of line integrals 16.4 - Green's theorem Take-home 1 solutions Take-nome 2 solutions Quiz 1 solutions Quiz 2 solutions Quiz 3 solutions Quiz 4 solutions Quiz 5 solutions Quiz 6 solutions Quiz 7 solutions

Last updated November 26, 2013