Math 131, Multivariate Calculus
Spring 2005, Clark University

Dept. Math. & Comp. Sci.
D Joyce
Carlson Hall 125, 793-7421.
This course page is obsolete.  I'll prepare a new page next time I teach the course.
General information
  • Math 131, section 1. MWF 10:00-10:50, room JC217.
    Math 131, section 2. MWF 11:00-11:50, room JC217.
  • Office hours.
  • Course prerequisite: Math 122 or Math 130.
  • Multivariate calculus uses linear algebra to extend the important concepts of single-variable calculus to higher-dimensional settings. Topics include scalar-valued and vector-valued functions, graphs, level sets, limits and continuity; partial derivatives, gradients, tangent planes, differentiability, total derivatives, directional derivatives; paths, velocity, acceleration, arclength, curvature, vector fields, divergence, curl; extrema, Hessians, Lagrange multipliers; multiple integrals, change of variables, Jacobians; line integrals, Green's theorem; surface integrals, Stokes' theorem, and Gauss' theorem.
    See also the course description from Clark's Academic Catalog.
  • Textbook: Vector Calculus, second edition, by Susan Jane Colley, Prentice-Hall, 2002. Prentice-Hall has a website for the book at http://cwx.prenhall.com/bookbind/pubbooks/colley/
  • There will be numerous short assignments, mostly from the text, occassional quizzes, two tests during the semester, and a two-hour final exam during finals week.
  • The course grade will be determined from assignments and quizzes, the two midterms, and the final exam. They will be weighed approximately 2/9 for assignments and quizzes, 2/9 for each midterm, and 3/9 for the final exam.
  • Syllabus
  • Course schedule

Kaleidoscope

This page is located on the web at

http://aleph0.clarku.edu/~djoyce/ma131/

David E. Joyce