Course Description
Calculus of functions of two and three variables: Parametric curves and applications to planetary motion. Derivatives, the gradient, Lagrange multipliers. Multiple integration, area, volume, and physical applications; polar, cylindrical, and spherical coordinates. Line and surface integrals; Green's, Stokes', and Divergence theorems, with applications to physics.
Athena Title
Calc III Sci and Math Honors
Equivalent Courses
Not open to students with credit in MATH 2270, MATH 2500, MATH 2500E
Prerequisite
(MATH 2260 or MATH 2260E or MATH 2310H or MATH 2410 or MATH 2410H) and permission of Honors
Grading System
A - F (Traditional)
Course Objectives
Students will be able to use partial differentiation and Lagrange multipliers to solve max/min problems for functions of several variables. Students will be able to set up and evaluate integrals over two- and three-dimensional regions. Students will be able to compute path and surface integrals using Green's theorem and Stokes' theorem appropriately to simplify these computations.
Topical Outline
Vector valued functions and motion in space. Partial derivatives. Multiple integrals. Integration in vector fields.
General Education Core
CORE III: Quantitative ReasoningSyllabus