Schedule

Note: This schedule is subject to change, and may vary slightly depending on your instructor.

Week	Section(s)	Topics	Suggested Exercises (Stewart 8th ed.)
1	12.1, 12.2	Three-Dimensional Coordinate Systems; Vectors.	12.1: 7-17 odd, 23, 29, 41 12.2: 19, 21, 23, 27
2	12.3, 12.4	The Dot Product; The Cross Product.	12.3: 3, 5, 7, 15, 17, 19, 23, 29, 39, 41, 43 12.4: 1, 3, 5, 7, 19, 29, 31
3	12.5, 12.6, 13.1	Equations of Lines and Planes; Cylinders and Quadric Surfaces; Vector Functions and Space Curves.	12.5: 1 (all), 3, 5, 13, 19-39 odd, 45, 51, 53, 55, 57 12.6: 1, 3, 5, 7, 21, 23, 25, 27 13.1: 3, 5, 21-26, 27, 41, 43
4	13.2, 13.3, 13.4	Derivatives and Integrals of Vector Functions; Arc Length and Curvature; Motion in Space: Velocity and Acceleration	13.2: 9-25 odd, 35, 37, 49 13.3: 1, 3, 5, 15, 17, 19, 23, 25, 47 13.4: 9, 11, 13, 15, 17a, 19, 37, 39, 41
5	14.1, 14.2	Functions of Several Variables; Limits and Continuity	14.1: 13, 15, 17, 23, 27, 32, 43, 46, 61-66, 69 14.2: 5-15 odd, 18, 19, 20, 29, 31, 39-41
Exam 1: Thursday, September 26, 8:00-9:15 am.
6	14.3, 14.4	Partial Derivatives; Tangent Planes and Linear Approximations	14.3: 15, 17, 21, 31, 32, 44, 47, 49, 53, 59, 65, 71 14.4: 1, 3, 5, 11, 13, 17, 19, 21
7	14.5, 14.6	The Chain Rule; Directional Derivatives and the Gradient Vector	14.5: 1-11 odd, 15, 18, 23, 27, 31 14.6: 7, 9, 11, 15, 19, 22, 23, 27, 43, 45
8	14.7	Maximum and Minimum Values	14.7: 1, 5-19 odd, 31-37 odd, 41, 45

9	14.8, 15.1	Lagrange Multipliers; Double Integrals over Rectangles	14.8: 3-11 odd, 21, 31-37 odd 15.1: 11, 13, 17, 19, 21, 25, 29, 33
10	15.2, 15.3, 15.6	Double Integrals over General Regions; Double Integrals in Polar Coordinates; Triple Integrals	15.2: 1-9 odd, 15-21 odd, 23, 45-53 odd 15.3: 1-9 odd, 15-27, 29 odd 15.6: 3-13 odd, 17-21 odd, 27, 35
Exam 2: Thursday, October 31, 8:00-9:15 am.
11	15.7, 15.8, 15.9	Triple Integrals in Cylindrical Coordinates; Triple Integrals in Spherical Coordinates; Change of Variables in Multiple Integrals	15.7: 1-9 all, 11-23 odd, 29 15.8: 1-5 all, 8, 9-25 odd, 35, 41 15.9: 1-7 odd, 15, 17, 23
12	16.1, 16.2, 16.3	Vector Fields; Line Integrals; The Fundamental Theorem for Line Integrals	16.1: 1, 5, 11-14, 21, 23, 29, 31 16.2: 1-21 odd, 39 16.3: 3-23 odd
13	16.4	Green's Theorem	16.4: 1-11 odd, 17
14	16.5, 16.6	Curl and Divergence; Parametric Surfaces and their Areas	16.5: 1-7 odd, 13-19 odd 16.6: 1, 13-18 all, 19-25 odd, 33, 35, 39-49 odd

15	16.7, 16.8	Surface Integrals; Stokes' Theorem	16.7: 5-31 odd 16.8: 1-9 odd
16	16.9	The Divergence Theorem	16.9: 1-13 odd
Final Exam: Friday, December 13, 12:30-3:00 pm.