MATH 317 - Calculus III

4 Credits
This course covers polar coordinates, three-dimensional Euclidean space including lines, planes and space curves, vector operations, multivariable scalar and vector-valued functions, partial derivatives, line and surface integrals, multiple integrals, and Green’s, Stokes and the divergence theorems.

Prerequisite(s): MATH 215 with C grade or better
Course Learning Outcomes:
1. Construct curves, surfaces, and regions in two and three dimensions, in Cartesian, polar, cylindrical, and spherical coordinate systems.
2. Analyze limits, derivatives, and integrals of vector-valued functions and multi-variate functions.
3. Classify extrema and tangent planes of functions of two variables.
4. Apply double and triple integrals including changing the order of integration.
5. Apply theorems of vector calculus, including the Fundamental Theorem of Line Integrals, Greens Theorem, the Divergence Theorem, and Stokes’ Theorem.
6. Apply the computational and conceptual principles of calculus to the solutions of various scientific and business applications.