Outcomes_List_for_Math_200_Final_Exam

Outcomes_List_for_Math_200_Final_Exam - Outcomes List for...

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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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In addition to reviewing assigned problems from 12.8, look at (all references to section 12.8): Example 3, Regular problems 20, 26, 27 15.3 Be able to: Convert rectangular double integrals to polar double integrals, including converting the limits of integration, the function to be integrated, and converting the differential dA to rdrd . In addition to reviewing assigned problems from 15.3, look at (all references to section 15.3): Example 1, Example 4, Regular problem 29 15.4 Be able to: Describe a surface parametrically. Eliminate the parameters to identify a surface. Compute the tangent plane of a parametric surface. In addition to reviewing assigned problems from 15.4, look at (all references to section 15.4): Example 8, Regular problems 16, 20 15.5 Be able to: Evaluate triple integrals over rectangular boxes. Evaluate over more general regions, using Theorem 15.5.2.
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This note was uploaded on 07/27/2011 for the course MATH 200 taught by Professor Kingsberry during the Spring '08 term at Drexel.

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Outcomes_List_for_Math_200_Final_Exam - Outcomes List for...

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