Math 21a - Homework

Here is the homework policy in a nutshell:

Hour and topic Assignment Relevant reading Due date Solutions
0. Warm-Up Problem Set 0

Here are the Mathematica files you'll need for some of the problems:

(You can also find PDF versions of the last two handouts on the Handouts page.) 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 mini-exam, 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. Vector-Valued 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. 2-Dimensional Curl There is no Problem Set 15! (This material will be on Problem Set 16.) in-class 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 Hughes-Hallett 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 in-class worksheets can all be found on the worksheets page.