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Test 3 review subjects

# Test 3 review subjects - Test 3 review topics This list is...

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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 ‘two-dimensional 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.

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