Outcomes List for Math 200200803
Multivariable Calculus
Spring 200809
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, crossproducts, 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 multivariable integrals
Do change of variables in multivariable 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).
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 Spring '08
 Kingsberry
 Math, Calculus, Derivative, Dot Product, Gradient, regular problems

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