Course Description
Calculus of functions of two and three variables: Parametric curves, derivatives, gradient, Lagrange multipliers. Multiple integration, area, volume, polar, cylindrical, and spherical coordinates. Line integrals and Green's Theorem. Introduction to surface integrals and Stokes' and Divergence Theorems. This is an accelerated version of Calculus III for Science and Engineering that covers fewer topics and applications.
Athena Title
Calculus III for Engineering
Equivalent Courses
Not open to students with credit in MATH 2270, MATH 2270H, MATH 2500
Non-Traditional Format
This course will be taught 95% or more online.
Prerequisite
MATH 2260 or MATH 2260E or MATH 2310H or MATH 2410 or MATH 2410H
Grading System
A - F (Traditional)
Course Objectives
Students completing the course should be able to use partial differentiation and Lagrange multipliers to solve max/min problems for functions of several variables. They should be able to set up and solve integrals over two- and three- dimensional regions. They should be able to compute path integrals and surface integrals using Green's theorem and Stokes' Theorem appropriately to simplify these calculations.
Topical Outline
Partial Derivatives. The Gradient. Lagrange Multipliers. Max/Min Problems in Several Variables. Multiple Integration. Path and Surface Integrals.
General Education Core
CORE III: Quantitative ReasoningSyllabus