## Enhanced Multivariable Calculus Fall, 2002

Four credits, 4 hours per week

Text : Multivariable Calculus, Revised Edition by James F. Hurley (Saunders Custom Publishing, 1999) ISBN 0-03-074889-5. (Original printing is also usable.)

Prerequisite: Math 111, 114, 116, or 121
Limitation: Not open to students with credit for Math 210.

 Section Topic Homework 1.1--1.3 Vectors/lines in 3-space p. 15: 2a, 3a, 5befgh, 9a, 14, 15, 20ab, 21 p. 26: 3, 5, 11, 13, 15-18 p. 34: 1, 7, 9, 11, 13, 14 1.4-1.5, 1.8 Planes/cross product p. 39: 1, 3, 4, 5, 9, 13, 15, 16 p. 47: 1, 2, 4, 5, 7, 9, 20; p. 75: 1, 3 2.1 Vector functions p. 90: 1, 5, 9, 23, 25, 26, 27 2.2 Velocity/arc length p. 99: 1, 3, 5, 6, 9, 11, 13, 17, 18 2.3. Curvature/unit tangent, normal p.110: 1, 5, 7, 9, 10, 14, 15; Extra credit: 17 3.2 Limits/continuity p. 126: 1, 3, 11, 16, 18, 21 3.3 Graphing p. 137: 1, 7, 11, 13, 16, 19, 23, 25, 27, 31, 33, 34 3.4 Quadric surfaces p. 145: 3, 5, 7, 9, 11, 13, 15, 17 4.1 Partial derivatives p. 153: 1, 3, 5, 9, 13, 17, 21, 27 4.3 Differentiable functions p. 171: 2, 5, 6, 9, 13, 15, 19, 27 Exam 1 4.4 Directional derivatives p. 178: 3, 7, 9, 11, 13, 15 4.5 Chain rule p. 187: 1, 3, 9, 11, 15, 17, 21, 25, 27 4.6 Implicit functions p. 193: 1, 5, 7 (plot), 15, 17, 19, 21 4.7 Higher derivatives p. 201: 5, 7 (1st & 2nd partials only), 13, 16, 19 4.9 Extreme values p. 218: 1, 5, 11, 13, 16, 19, 20, 23, n (see News) 4.10 Lagrange multipliers p. 228: 1, 7, 13, 17, 21 5.1 Double integrals p. 239: 2, 3, 5, 13, 22, 23 5.2 Iterated integrals p. 245: 3, 9, 13, 17 5.3 General regions p. 254: 1, 3, 9, 11, 15, 21, 25, 27, 31, 33 5.5 Polar integrals p. 270: 3, 5, 9, 13, 15, 17, 23 5.6 Triple integrals p. 277: 1, 5, 9, 13, 17, 20, 29 5.7 Cylindrical coordinates p. 286: 1d, 3d, 5c, 7d, 9, 13, 17, 21 5.8 Spherical coordinates p. 295: 9, 11, 15, 21, 28, 29 7.1 Line integrals p. 411: 1, 5, 7, 11, 15, 17, 24, 25 Exam 2 7.2 Green's theorem p. 424: 3, 5, 7, 21, 26, 27, 28 7.4 Path independence p. 448: 1, 7, 11