Outcomes List for Math 200-200803
Update for Final Exam
Multi-variable Calculus
Spring 2008-09
The purpose of the Outcomes List is to give you a concrete summary of the material you
should know, and the skills you should acquire, by the end of this course. As an overall
summary, you should be able to, after completing this course:
Do basic calculations with vectors and related geometric shapes (lines and
planes), using dot products, cross-products, and vector calculations
Do calculus with space curves, including finding velocity and equations of
tangent lines
Work with plots of multivariable functions, including the computation of level
curves and level surfaces
Use partial derivatives, including chain rule formulas
Compute tangent planes to surfaces, find critical points, and check for max/min
Work with cylindrical and spherical coordinates
Work with parametric surfaces
Do basic multi-variable integrals
Do change of variables in multi-variable integrals
This outcomes list will be updated with specific review problems and topics for each
exam of the quarter.
The following information is for reviewing the
material we have discussed since week 8
(including that week).
The final exam is COMPREHENSIVE.
It will cover material covered on all three
previous exams.
In addition, it will cover material from sections 12.8, 15.3, 15.4, 15.5,
15.7, 15.8.
12.8
Be able to:
Convert between rectangular, cylindrical, and spherical
coordinates.
Describe simple surfaces in terms of cylindrical and
spherical
coordinates.
Be able to use Table 12.8.1, and understand Table 12.8.2.

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*