MAT 241 - Calculus III

1. Vectors
2. Planes and surfaces
3. Cylindrical and spherical coordinates
4. Functions of several variables
5. Partial differentiation
6. Optimization
7. Multiple integration
8. Integration techniques
9. Vector calculus

1. Solve problems using vectors in 3-space. (1)
2. Use equations of planes and surfaces to solve problems. (2) 
3. Solve problems using cylindrical and spherical coordinate systems. (3)
4. Compute partial derivatives. (4,5)
5. Compute extremes of functions of two variables. (4-6)
6. Compute differentials, directional derivatives, gradients, and tangent planes. (4-6)
7. Integrate multiple integrals. (7,8)
8. Solve applied problems requiring multiple integrals. (8,9)
9. Define and identify vector fields. (9)
10. Compute line and surface integrals. (9)
11. Use Divergence, Curl, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. (9)