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.
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