MATH 254 Multidimensional Calculus

Parametric equations, polar coordinates, vector calculus, surface and volume integrals, Green’s Theorem, Stokes Theorem.

Credits

3

Prerequisite

MATH 252

Offered

Fall

Student Learning Outcomes

1. To understand the algebra and geometry of vectors in two and three dimensions.
2. • To compute dot products and cross products and understand their geometric meaning.
3. To visualize and sketch surfaces in three-dimensional space.
4. To find partial derivatives of functions of several variables and demonstrate an understanding of their meaning.
5. To set up and evaluate double and triple integrals using a variety of coordinate systems, including rectangular, polar, cylindrical, and spherical.
6. To compute and use the curl and divergence of a vector field.
7. • To understand and use Green's theorem, divergence theorem, and Stoke's theorem.