Math 203 Final Exam Study Guide
From Exam I, you should know:
[Hour Exam I] [Practice Exam I]
- Vectors - Dot products, cross products, projections.
- Surfaces - Equations of standard surfaces, tangent planes to surfaces.
From Exam II, you should know:
[Practice Exam II] [Practice Exam II with solutions] [Hour Exam II with solutions]
- Optimization - Critical points, the second-partials test, Lagrange multipliers
- Multiple integrals - How to set up and compute multiple integrals in rectangular, polar, cylindrical, and spherical coordinates.
After Exam II, you should know:
[Supplementary problems] [Supplementary problems with solutions]
- Curves and line integrals - Parametrization of curves, line integrals, arc length, the Fundamental Theorem of Calculus for line integrals
- Surfaces and flux integrals - Parametrization of surfaces, flux integrals, surface area
- Vector field analysis - The divergence and curl of a vector field
- The divergence theorem
- Stokes's theorem