| Hour and topic | Assignment | Relevant reading | Due date for MWF sections |
Due date for TTh sections |
Solutions |
|---|---|---|---|---|---|
| Warm-Up | Problem Set 0 | See Background Review | F 1/28 | Th 1/27 | Solutions |
| Weekly Problems | Solutions | ||||
| 1. Density and Approximation | Problem Set 1 | In-class worksheet solutions | M 1/31 | T 2/1 | Solutions |
| 2. Density and the Definite Integral | Problem Set 2 | Gottlieb 22.2, 27.1 | W 2/2 | Th 2/3 | Solutions |
| 3. Area and Volume | Problem Set 3 | Gottlieb 27.2, 28.1 | F 2/4 | T 2/8 | Solutions |
| 4. Volumes of Revolution | Problem Set 4 | Gottlieb 28.1 | M 2/7 | T 2/8 | Solutions |
| 5. Integration by Substitution | Problem Set 5 | Gottlieb 25.2, 25.3, 29.2 | W 2/9 | Th 2/10 | Solutions |
| 6. Integration by Parts | Problem Set 6 Hint: In #3(b), you will need to solve algebraically for the integral, as you did in #1(c). |
Gottlieb 29.1 | F 2/11 | T 2/15 | Solutions |
| 7. Integration Techniques | There is no homework for this hour. Instead, study for the Integration Quiz. You can read about partial fractions in Gottlieb 29.3. | ||||
| 8. 3-dimensional Density Problems | Problem Set 8 | Gottlieb 27.1 | W 2/16 | Th 2/17 | Solutions |
| 9. Work | Problem Set 9 | Work handout | F 2/18 | T 2/22 | Solutions |
| 10. Improper Integrals | Problem Set 10 | Gottlieb 29.4 and Improper Integrals worksheet solutions, especially #3 | W 2/23 | T 2/22 | Solutions |
| 11. Improper Integrals, Continued | Problem Set 11 | Gottlieb 29.4 | F 2/25 | Th 2/24 | Solutions |
| 12. Taylor Approximation | Problem Set 12 | Taylor Approximation handout | M 2/28 | T 3/1 | Solutions |
| 13. Taylor Approximation, Continued | Problem Set 13 If you'd like some extra practice with sigma notation, see the Sigma Notation Practice handout on the handouts page. |
Gottlieb 30.1, Gottlieb 18.4 for sigma notation | W 3/2 | T 3/1 | Solutions |
| 14. Taylor Series | Problem Set 14 Because of the midterm, we have pushed the due date for this problem set back. However, it's extremely short, and we encourage you to do it by Thursday or Friday's class if possible, since it will be useful in understanding that material. (Note that the next few homeworks are back on the regular schedule.) |
Taylor Series worksheet solutions | M 3/7 | T 3/8 | Solutions |
| 15. Definition of Convergence | Problem Set 15 | Definition of Convergence / Partial Sum Diagrams | M 3/7 | T 3/8 | Solutions |
| 16. Nth Term Test, Comparison Test | Problem Set 16 | Nth Term Test, Comparison Test handout | W 3/9 | T 3/8 | Solutions |
| 17. Geometric Series | Problem Set 17 | Gottlieb 18.1, 18.2; Gottlieb 18.5 optional | F 3/11 | Th 3/10 | Solutions |
| 18. p-series, Comparing Series to Integrals | Problem Set 18 | Gottlieb pg. 965 - 969 | M 3/21 | T 3/22 | Solutions |
| 19. Asymptotics | Problem Set 19 | Asymptotics handout | W 3/23 | T 3/22 | Solutions |
| 20. Ratio Test | Problem Set 20 | Gottlieb 972 - 975; 952 - 953 | F 3/25 | Th 3/24 | Solutions |
| 21. Power Series | Problem Set 21 | Power Series handout | M 3/28 | T 3/29 | Solutions |
| 22. Power Series Representations of Functions | Problem Set 22 | Power Series handout | W 3/30 | T 3/29 | Solutions |
| 23. More Series Problems | Problem Set 23 | You should do this problem set as part of your exam preparation, but you need not turn it in. Part of the Exam review session will be spent going over any questions you have on this problem set. | Solutions | ||
| 24. Differential Equations | Problem Set 24 | Gottlieb 31.1, 31.2 pg. 992 | M 4/4 | T 4/5 | Solutions |
| 25. Slope Fields | Problem Set 25 PS 25 and 26 are shorter than usual because of the exam. MWF students: Note that the due date for this is Friday, and PS 26 will also be due that day. |
Gottlieb 31.2 | F 4/8 | T 4/5 | Solutions |
| 26. Autonomous First-Order Differential Equations | Problem Set 26 TTh students: Note that the due date for this is Tuesday, and PS 27 and 28 will also be due that day. |
Gottlieb 31.3 | F 4/8 | T 4/12 | Solutions |
| 27. Some Methods for Solving Differential Equations | Problem Set 27 | Gottlieb 31.4 | M 4/11 | T 4/12 | Solutions |
| 28. Other Ways of Looking at Differential Equations | Problem Set 28 | Gottlieb pg. 1022, In-class worksheet solutions | W 4/13 | T 4/12 | Solutions |
| 29. Second-Order Homogeneous Differential Equations with Constant Coefficients | Problem Set 29 | Gottlieb 31.6 | F 4/15 | Th 4/14 | Solutions |
| 30. x'' + bx' + cx = 0, Euler's Formula | Problem Set 30 | Complex Numbers, Gottlieb 31.6 | M 4/18 | T 4/19 | Solutions |
| 31. x'' + bx' + cx = 0, Concluded | Problem Set 31 | Gottlieb 31.6 | W 4/20 | T 4/19 | Solutions |
| 32. Introduction to Systems of Differential Equations | Problem Set 32 | Modeling with Systems of Differential Equations, Gottlieb 31.5 | F 4/22 | Th 4/21 | Solutions |
| 33. Phase Plane Analysis | Problem Set 33 | In-class worksheet solutions, Gottlieb 31.5 | M 4/25 | T 4/26 | Solutions |
| 34. Systems and Shapes of Trajectories | Problem Set 34 | Gottlieb 31.5 | W 4/27 | T 4/26 | Solutions |
| 35. Systems Wrap-Up | Problem Set 35 | Gottlieb 31.5 | F 4/29 in your CA's mailbox (next to SC 310) by 5 pm | See weekly solutions. | |
Note: Solutions to in-class worksheets can all be found on the worksheets page.