Calculus III, Homework

Date	Section	Homework Problems	Suggested Problems (Optional - not for submission)	Work Due
9/1	12.1 - Three-Dimensional Coordinate Systems	32, 36, 38, 48, 66	1-75 (odd)
9/2	12.2 - Vectors	24, 32, 58	1-51 (odd), 58, 59
9/3	12.3 - The Dot Product	16, 19, 22, 28, 30, 34, 40, 44	1-7 (odd), 13, 17-21, 25-45 (odd)
9/8	12.4 - The Cross Product	16, 20, 24, 28, 30	1-23 (odd), 27-47 (odd), 48, 53-57 (odd)	Homework 12.1-12.2, Webwork 12.1-12.2
9/9
9/10	12.5 - Lines and Planes in Space	16, 30, 36, 40, 48, 58, 62	1-51 (odd), 57-75 (odd)
9/13				Webwork 12.3, 12.4
9/15	12.6 - Cylinders and Quadric Surfaces	16, 20, 22, 28	1-12 (all), 13-43 (odd)	Homework 12.3- 12.4
9/16	Exam 1 - Chapter 12
9/17	13.1 - Curves in Space and Their Tangents	18, 22, 24, 31-36, 43	1-29 (odd), 31-36 (all), 37-39	Webwork 12.5
9/20				Webwork 12.6
9/22	13.2 - Integrals of Vector Functions; Projectile Motion	3, 5, 8, 14, 26	1-29 (odd), 36-38 (all), 40, 48	Homework 12.5, 12.6, 13.1
9/23	13.3 - Arc Length in Space	10, 12	1-9 (odd), 15, 17a-d, 18	Webwork 13.1
9/24	13.4 - Curvature and Normal Vectors of a Curve	11, 19	1-9 (odd), 13, 17-19, 27, 29, 30
9/27	13.5 - Tangential and Normal Components of Acceleration	4, 12	1-9 (odd), 13, 17-24 (all)	Webwork 13.2, 13.3
9/29	Exam 2 - Chapter 13			Homework 13.2-13.5, Webwork 13.4
9/30	14.1 - Functions of Several Variables	10, 12, 14, 26, 28, 46, 58, 62	3-29 (odd), 31-36 (all), 37-63 (odd)
10/1	14.2 - Limits and Continuity in Higher Dimensions	18, 42, 44, 46, 48	5, 7, 9, 13, 15, 19, 29, 33, 35, 41, 43, 58, 65, 67
10/3	14.3 - Partial Derivatives	30, 38, 46, 64, 72	1-31 (odd), 35-63 (odd), 67, 68, 71, 73, 75, 76, 85, 88, 94, 100	Webwork 14.1
10/6	14.4 - The Chain Rule	6, 8, 16, 22, 50	3, 7, 11, 15, 21, 23, 39, 43, 47, 48, 53, 55	Homework 14.1, 14.2, Webwork 14.2
10/7
10/8	14.5 - Directional Derivatives and Gradient Vectors	20, 22, 26, 28, 42	1-37 (odd)
10/11				Webwork 14.3, 14.4
10/13	14.6 - Tangent Planes and Differentials	2 (draw), 10, 14 (draw), 20, 34, 40	1-25 (odd), 31, 33, 41, 52, 56, 57, 59	Homework 14.3-14.4
10/14	14.7 - Extreme Values and Saddle Points	34, 38, 44, 62	3-9 (odd), 13-19 (odd), 27, 31, 37, 41, 42, 44, 48, 49, 51, 56, 59, 63c	Webwork 14.5
10/15
10/18	14.8 - Lagrange Multipliers	none	1, 3, 9, 11, 13, 16, 21, 23, 29, 33, 36	Webwork 14.6
10/20				Homework 14.5 - 14.6
10/21	Exam 3 - Chapter 14
10/22	15.1 - Double Integrals over Rectangles	12, 22, 24, 28, 34	1-37 (odd)	Webwork 14.7
10/25	Founder's Day - No class
10/27	15.2 - Double Integrals over General Regions	12, 14, 20, 38, 40, 60, 64	1-67 (odd), 73-81 (odd)	Webwork 15.1, Homework 14.7, 15.1
10/28	15.3 - Area by Double Integration	16, 18, 20, 24	1-29 (odd)
10/29	15.4 - Double Integrals in Polar Form	16, 20, 24, 30, 32	1-17 (odd), 21, 22, 23, 27-47 (odd)
11/1				Webwork 15.2
11/3	15.5 - Triple Integrals in Rectangular Coordinates	4, 14, 22, 28, 34, 38, 42	1-47 (odd)	Webwork 15.3, Homework 15.2-15.4
11/4				Webwork 15.4
11/5	15.6 - Applications	6, 24, 30, 40	3, 5, 11, 13, 15, 21, 23, 25, 29, 33
11/8	15.7 - Triple Integrals in Cylindrical and Spherical Coordinates	8, 10, 12, 18, 20, 22, 65-70 (set up only)	1-25 (odd), 31-39 (odd), 45-85 (odd), 103, 104	Webwork 15.5
11/10				Homework 15.5-15.6
11/11	15.8 - Substitutions in Multiple Integrals	4, 8, 12, 14, 18	3, 9, 11, 12, 14, 15, 18, 20, 23
11/12	Exam 4 - Chapter 15
11/15	16.1 - Line Integrals of Scalar Functions	1-8, 15, 16, 26, 34	1-8 (all), 11-15 (odd), 21, 25-35 (odd)	Webwork 15.7
11/17				Homework 15.7-15.8
11/18	16.2 - Vector Fields and Line Integrals: Work, Circulation, and Flux	4, 10, 52	3-11 (odd), 21-33 (odd), 37, 39, 47, 48, 49, 51, 55-61 (odd)
11/19	16.3 - Path Independence, Conservative Fields, and Potential Functions	14, 20, 30	1-9 (odd), 15-19 (odd), 26, 31-37 (odd), 38
11/22	16.4 - Green's Theorem in the Plane	18, 22, 32, 34, 36	3-17 (odd), 23-39 (odd), 44	Webwork 16.1, 16.2
11/24	Thanksgiving - No class
11/25
11/26
11/29	16.4 - Green's Theorem in the Plane (continued)	18, 22, 32, 34, 36	3-17 (odd), 23-39 (odd), 44	Webwork 16.3
12/1	16.5 - Surfaces and Area	14, 16, 18, 46	1-33 (odd), 37-49 (odd)	Homework 16.1-16.3
12/2	16.6 - Surface Integrals	12, 20, 26	1-9 (odd), 15-29 (odd), 35-41 (odd), 49
12/3				Webwork 16.4
12/6	16.7 - Stokes' Theorem	12, 16, 22	1-15 (odd), 21, 23, 26, 29, 31, 32, 34	Webwork 16.5
12/8	16.8 - The Divergence Theorem and a Unified Theory	10, 18, 20	1-4 (all), 9-27 (odd), 22, 29a	Homework 16.4-16.6, Webwork 16.6
12/9	Exam 5 - Chapter 16
12/10	Review			Webwork 16.7, 16.8
12/16	Final Exam (cumulative) - 8-10 am			Homework 16.7-16.8