MAT 241 - Calculus and Analytic Geometry III

1. graph and find the extrema of conics;
2. determine the equation of conics and classify the various types of conics;
3. parametrize equations and graph them;
4. integrate and differentiate parametric equations;
5. find the polar form of an equation and convert back to rectangular form;
6. graph polar equations;
7. calculate arc lengths;
8. graph and perform basic operations with vectors;
9. graph planes and surfaces and determine their equations;
10. solve problems related to the properties of planes and surfaces;
11. convert equations to spherical and cylindrical form and back to rectangular form;
12. graph, integrate, and differentiate vector valued functions;
13. work application problems related to vector valued functions;
14. demonstrate an understanding of functions of several variables including their graphs, continuity, partial derivatives, directional derivatives, gradients, tangent planes, normal lines and extrema;
15. evaluate multiple integrals;
16. calculate areas and volumes;
17. demonstrate an understanding of vector fields and some of their properties including conservativity, potential functions, and line integrals;
18. define and apply Green’s Theorem.