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Test 3 review topics
This list is meant to give you an overview of the concepts and techniques that
could be on the third midterm (Tuesday April 12th). Questions on the test may
combine material from two or more of the sections listed.
Background
 Diﬀerentiation and integration techniques from calculus one and two (in
particular, the product rule, chain rule, integration by parts, and integra
tion by substitution).
 Some basic notions from the earlier parts of the course: adding vectors
and multiplying them by scalars; equations of lines, planes and spheres;
partial diﬀerentiation and the gradient vector.
Section 15.7
 Finding critical points of functions of two variables, and relating them to
contour plots and graphs.
 Using the ‘twodimensional second derivative test’ to tell whether a critical
point is a local maximum, local minimum, or saddle.
 Finding global maxima and minima of a function of two variables on a
closed bounded set, and relating this to applications.
Section 16.2
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This note was uploaded on 09/14/2011 for the course MATH 175 taught by Professor Aldroubi during the Spring '08 term at Vanderbilt.
 Spring '08
 ALDROUBI

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