## Math 210 Syllabus Summer, 2003

Prerequisite Information: The prerequisite is MATH 114, 116, or 121 or a score of 4 or 5 on the Advanced-Placement Calculus BC examination. Math 210 is not open for credit to students who have passed either MATH 220 or 221. The course is open to sophomores.

Note: The outline will be filled in as the course proceeds. Check this link frequently for homework assignments.
 Section Topic Homework 13.1 3-dimensional coordinates p. 821: 1, 4, 6, 9(a), 13, 16, 21(b), 38 13.2 Vectors p. 828: 2, 4, 5, 7, 12, 19, 24, 26, 31, 37 13.3 Dot Product p. 836: 1, 2, 7, 18, 26, 27, 31, 43, 44 13.4 Cross Product p. 843: 3, 9, 10, 15, 16, 25, 29, 31, 39 13.5 Lines and Planes p. 852: 1, 2, 5, 9, 11, 14, 17, 21, 25, 35, 38, 41, 46 13.6 Cylinders, Quadric surfaces p. 859: 1, 3, 8, 9, 11, 21-28, 37, 39 13.7 Cylindrical and Spherical Coordinates p. 865: 3, 9, 13, 20, 31, 37, 40, 43, 49, 55, 56, 58, 61 14.1 Vector functions/space curves p. 876: 1, 3, 7-13, 17, 18, 21, 23, 30, 31, 33 14.2 Derivatives and integrals of vector functions p. 882: 1, 3, 6, 10, 14, 19, 21, 25, 29(a, b), 35, 50 14.3 Arc length and curvature p. 889: 1, 4, 9, 11, 14, 15, 33 Review 14.4 Motion in space p. 899: 4, 7, 10, 11, 17, 31, 33 Exam 1 15.1 Real-valued functions of several variables p. 917: 3, 8, 15, 26, 31, 38, 43, 47, 58, 59 15.2 Limits and continuity p. 928: 16, 17, 26, 27, 32 15.3 Partial derivatives p. 939: 1, 3, 6, 11, 14, 23 26, 33, 41, 45, 63, 66(a, c, f) 15.4 Tangent plane, linear approximations p. 950: 1, 4, 7, 13, 23, 27, 30, 33, 37 15.5 Chain rule, implicit differentiation p. 958: 3, 6, 8, 11, 19, 21, 25, 31, 33, 34, 41, 43 15.6 Directional derivatives p. 970: 3, 11, 14, 21, 25, 29, 31, 37, 43, 59 15.7 Extreme values p. 981: 1, 4, 5, 6, 7, 11, 15, 19, 49 15.8 Lagrange Multipliers p. 990: Modified FedEx Box, 3, 7, 9, 15, 23, 37 16.1 Double integrals over rectangles p. 1008: 5(a), 9, 11, 17 16.2 Iterated integrals p. 1014: 5, 10, 15, 17, 23, 24, 27, 29, 33 Review 16.3 General double integrals p. 1022: 3, 7, 11, 13, 16, 19, 22, 33, 35, 36 Exam 2 16.4 Polar double integrals p. 1028: 1, 3, 7, 10, 13, 16, 19, 22, 27, 33 16.7 Triple integrals p. 1050: 7, 9, 13, 15, 19, 20, 37(a) 16.8 Triple integrals in cylindrical/spherical coordinates p. 1057: 1, 5, 6, 7, 11, 17, 21, 24, 35 17.1 Vector fields p. 1080: 1, 3, 11--14, 16, 19, 21, 27, 29, 31 17.2 Line integrals p. 1091: 5, 13, 15, 17, 19, 20, 21, 30(a) 17.4 Green's Theorem p. 1108: 7, 9, 11, 12, 18, 20 17.3 Path independence p. 1101: 1, 3, 4, 6, 15, 21 17.6 Parametric Surfaces/Area p. 1125: 1, 3, 9, 21, 33, 41 17.5 Curl and Divergence p. 1115: 1, 5, 13, 17, 19, 21 [Future Physicists: 33, 34, 36] 17.7 Surface Integrals p. 1137: 19, 25, 41 17.8, 17.9 Theorems of Stokes and Gauss p. 1143: 3, 9, 11(a); p. 1150: 7, 11, 13 Review