Catalog description: This course develops the calculus of real- and vector-valued functions of one and several variables. Topics include matrix algebra and linear maps; vector-valued functions and their analysis; the geometry of Euclidean n-space; functions of several variables and their differentiation; gradients and directional derivatives; partial derivative; arc length; vector fields, divergence, and curl; Taylor's theorem for several variables; extrema of real-valued functions in n-space; LaGrange multipliers; multiple integrals and the chain rule; improper integrals; line integrals; area of surface; surface integrals; Green's Theorem; Gauss' Theorem; Stokes' Theorem; conservative fields. Prerequisites: MTH 2154 or its equivalent.

Expanded course description (Not yet available)

Departmental First-Day Handout

Department Curriculum Committee: Juan Molina, David Fonken (contact info for these faculty members)

Mathematics Faculty Members' Web pages for this course: (Not yet available)

Last updated May 31, 1999. mparker@austin.cc.tx.us