Outcomes_List_for_Math_200_200803_Exam2

Outcomes_List_for_Math_200_200803_Exam2 - Outcomes List for...

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Outcomes List for Math 200-200803 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 for the material of Exam 2: Exam 2 will cover sections 12.7, 14.3, 14.4, 14.5, and 14.6. 12.7 Be able to: Compute traces of quadric surfaces, and recognize the resulting conic sections in the given plane. Given an equation for a quadric in standard form, be able to recognize the type of the quadric (and in particular, its graph). In addition to reviewing assigned problems from 12.7, look at (all references to section
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Outcomes_List_for_Math_200_200803_Exam2 - Outcomes List for...

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