(Four credit hours, four lecture hours per week during a 16-week semester, no lab hours)

* 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; extreme 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: MATH 2415 or its equivalent.

* Departmental First-Day Handout

* Learning Objectives

* Department Curriculum Committee: Juan Molina, chair

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

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Last updated July 31, 2001. Comments, questions, suggestions?