MTH 234 Midterm: Calc III Exam 2 Review
Document Summary
14. 6 directional derivatives and the gradient vector: calculate directional derivative using the gradient, know how to maximize/minimize the directional derivative, find tangent planes and normal lines, know how the gradient vector and level curves/surfaces are related. 14. 7 maximum and minimum values: find critical points, classify critical points as local max/min/saddle, find absolute max/min on closed region. 15. 2 iterated integrals: all skills are used in 15. 3-15. 6. Very rare to see a 15. 2 problem. (because heaven forbid there"s an easy problem) 15. 3 double integrals over general regions: sketching regions of integration, selecting correct limits of integration, switching limits of integration, is naturally embedded in 15. 7 questions. 15. 4 double integrals in polar coordinates: convert cartesian coordinates to polar and back, is naturally embedded in 15. 8 cylindrical questions (polar is just easier cylindrical). 15. 7 triple integrals in rectangular coordinates: sketching regions of integration, selecting correct limits of integration, switching limits of integration.
