MATH 2253 Calculus III
PHILOSOPHY
A study of topics concerning multivariate functions include the following: limits, continuity, partial derivatives, differentials, the chain rule, extrema. multiple integration, vector fields, line integrals,
Green’s theorem, surface integrals, the divergence theorem, and Stokes’s theorem
OBJECTIVES
1.
Understand the concepts of continuity for functions of several variables and apply the appropriate definitions to given functions
2.
Use partial derivatives to find the tangent plane to a three dimensional surface
3.
Use the gradient to find the directional derivative and discuss their applications
4.
Use polar, cylindrical, and spherical coordinates to ease the evaluation of double and triple integrals
5.
Find the divergence and curl of a vector field and discuss their meaning
6.
Evaluate line integrals both directly and via the potential Function when one exists
7.
Use Green’s theorem, Stokes’s theorem, and the divergence theorem to convert one type of integral to another.
COURSE TEACHING REQUIREMENTS

Teach Functions of Several Variables, including graphing, limits, partial derivatives and extrema.

Teach Multiple Integration, including polar coordinates, center of mass, moments of inertia, surface area, cylindrical coordinates and spherical coordinates.

Teach Vector Analysis including vector fields, line integrals, Green’s Theorem, parametric surfaces, and surface integrals.

The final exam must have a comprehensive component and it must be proctored.
ASSESSMENT RESPONSIBILITIES
Instructors teaching this course (online and traditional) will be expected to participate in assessment activities as dictated by the division. You will be given further information/instructions by the lead instructor during the term assessments are to be completed.
Mathematics and Science Department Contact Information
Division Chair : Richard Counts, 501-882-8804, wrcounts@asub.edu
Lead Instructor : Jeffrey Crow, 501-362-1219, jwcrow@asub.edu