MAT 237 - Calculus III

Vectors in two and three dimensions, dot and cross products, equations of lines and planes, the calculus of vector functions, functions of several variables, partial derivatives, multiple integration and applications. Prerequisite: A grade of C- or better in MAT 236. Fulfills: LASR. (4 cr. hr.)
Frequency code B = offered at least once per year

Student Learning Outcomes
Upon successful completion of this course, students will be able to:

1. Use dot and cross products to compute geometric quantities.
2. Apply appropriate operations to vector-valued functions to calculate arc lengths, curvature, speed, velocity, and acceleration.
3. Find directional derivatives and gradients and apply them in mathematical modeling.
4. Find and classify extreme points and saddle points of surfaces.
5. Use multiple integration in Cartesian, polar, cylindrical, and spherical coordinates to find volumes and hypervolumes of solids.
6. Identify when it is advantageous to use Fubini's Theorem to reorder double and triple integrals and be able to do so.
7. Sketch visual representations of line integrals and evaluate.
8. Apply Green's Theorem to evaluate line integrals.