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Unformatted text preview: Math 234 SS 2008 Review for the Test 3. Lecture # 30 Test 3 covers material from CH 14.7 Extreme Values and Saddle Points and the Material about Multiple Integrals from CH 15.1, 15.2, 15.3, 15.4, and 15.6. Textbook (especially examples solved), lecture notes, HW need to be used for revising the material. Test Outlines. 1. Local extrema and saddle points: finding critical points, classification of critical points, finding local extreme values. 2. Double integrals in Cartesian coordinates. Fubinis theorem about iterated integrals and the order of integration. 3. Applications of double integrals: area of plane regions, volumes, mass of a thin flat plate and its center of mass. Flat plates with an uniform mass and its centroid. 4. Double integrals in polar coordinates. 5. Triple integrals in Cartesian coordinates. Fubinis theorem about iterated integrals and the order of integration. Volume as a triple integral. 6. Cylindrical and Spherical Coordinates. Converting rectangular coordinates of points in space into cylindrical and spherical coordinates. 7. Triple integrals in cylindrical and spherical coordinates....
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- Spring '08