MATH 209 - Calculus IV: Several Variables Fall Quarter 1993

1993 Catalog Data:
Mathematics 209: Calculus IV: Several Variables.
Credit 4.
Three-dimensional analytic geometry, partial differentiation, multiple integration, spherical and cylindrical coordinate systems, improper integrals.
Prerequisite: MATH 208 with minimum C grade.

Textbook:H. Anton, Calculus, 4th Ed., John Wiley and Sons, Inc., 1984.
Coordinator:M. Cates, Professor and Chair of Mathematics.
Goals:This course is designed to teach the student the principles and techniques of differential and integral calculus. Topics include multivariable calculus, partial derivatives and optimization, multiple integrals, line integrals and Green's Theorem.

Prerequisites by Topic:

  1. Differentiation.
  2. Integration.
  3. Applications of differentiation and integration.
  4. Improper integrals.
  5. Infinite series.
  6. Polar coordinates.
  7. Vectors and solid analytic geometry.

Topics:

  1. Functions from one to three dimensions. (4 classes)
  2. Partial differentiation. (5 classes)
  3. Multiple integrals. (5 classes)
  4. Line integrals and Green's Theorem. (4 classes)
  5. Examinations. (2 classes)
ABET category content as estimated by the faculty member who prepared this course description:
Mathematics: 4 credits or 100%

Prepared by: P. K. Subramanian
Date: January 1994