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Calculus III for Science and Mathematics (Honors)


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 Reasoning

Syllabus