Hour and topic  Assignment  Relevant reading  Due date  Solutions 

0. WarmUp  Problem Set 0 Here are the Mathematica files you'll need for some of the problems: 

M 9/10  Solutions 
1. Visualizing Functions of Two Variables  Problem Set 1 

W 9/12  Solutions 
2. Surfaces in \(\mathbb{R}^3\)  Problem Set 2  Strategies for Sketching Surfaces, §9.6, Dimension  F 9/14  Solutions 
3. Polar, Cylindrical, and Spherical Coordinates  Problem Set 3  Polar Coordinates, §9.7  M 9/17  Solutions 
4. Partial Derivatives  Problem Set 4 If you're feeling pressed for time because of the miniexam, you may turn this in with PS 5 (on F 9/21). But please start it before Wednesday so that you don't have to do 2 full problem sets between Wednesday and Friday! 
§11.3  W 9/19  Solutions 
5. Double Integrals  Problem Set 5  Double Integrals  F 9/21  Solutions 
6. Calculating Double Integrals over General Regions  Problem Set 6  Review Suggestions, Double Integrals, Vectors  M 9/24  Solutions 
7. Double Integrals in Polar Coordinates  Problem Set 7  §12.4 through Example 1, Vector operations  W 9/26  Solutions 
8. Triple Integrals  Problem Set 8  §12.7  F 9/28  Solutions 
9. Triple Integrals, Continued  Problem Set 9  §12.8  M 10/1  Solutions 
10. Vector Fields and Lines  Problem Set 10  Vectors (or §9.2), §13.1 through Example 5, §9.5 through Example 3  W 10/3  Solutions 
11. The Dot Product and Planes  Problem Set 11

§9.3 and the Planes part of §9.5 through Example 4  F 10/5  Solutions 
12. The Cross Product  Problem Set 12  §9.4 through Example 5 and the Planes section of §9.5  W 10/10  Solutions 
13. VectorValued Functions (Parametric Curves)  Problem Set 13  §10.1  10.3 through Example 2 on pg. 709  F 10/12  Solutions 
14. Parametric Curves and Parametric Surfaces  Problem Set 14  §10.1 (especially Examples 5 and 6), 10.5  To give you flexibility in studying for the exam, you may turn this in either M 10/15 or W 10/17  Solutions 
15. 2Dimensional Curl  There is no Problem Set 15! (This material will be on Problem Set 16.)  inclass worksheet  
16. Parametric Surfaces, Continued  Problem Set 16  §10.5  F 10/19  Solutions 
17. Surface Area and Scalar Surface Integrals  Problem Set 17  §12.6 through Example 1 and §13.6 through Example 1  M 10/22  Solutions 
18. Line Integrals  Problem Set 18  §18.1, 18.2 from Calculus by HughesHallett  W 10/24  Solutions 
19. Directional Derivatives  Problem Set 19

§11.6  F 10/26  Solutions 
20. Tangent Planes and Linear Approximation  Problem Set 20  §11.4 but skip the part on differentials  M 10/29  Solutions 
21. Calculating Directional Derivatives, The Gradient  Problem Set 21  §11.6  W 10/31  Solutions 
22. Using the Gradient, The Chain Rule  Problem Set 22  §11.5 through Example 7  F 11/2  Solutions 
23. Maxima and Minima  Problem Set 23 Updated 11/2 to clarify wording in #2 and add a Mathematica tip. 
§11.7, (optional) Why is the Second Derivative Test true?  M 11/5  Solutions 
24. Lagrange Multipliers  Problem Set 24  §11.8  You may turn this in either W 11/7 or F 11/9  Solutions 
25. Exam 2 Review  There is no Problem Set 25.  
26. More Optimization  Problem Set 26  §11.7 and 11.8  M 11/12  Solutions 
27. Flux Integrals  Problem Set 27  §13.6  W 11/14  Solutions 
28. Flux Integrals, Continued  Problem Set 28  §13.6  F 11/16  
29. Gradient vector fields  Problem Set 29  Conservative Vector Fields or §13.3 through Theorem 5  M 11/19  
30. Green's Theorem  Problem Set 30  §13.4  M 11/26 
Note: Solutions to inclass worksheets can all be found on the worksheets page.