Calculus II
SCHEDULE & HOMEWORK
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| Week | Topic | Problems |
| 1 |
Jan 12: Definite Integral (Review) |
5.2 #1-8, 27, 28, 31-40, 42-62. |
| Jan 13: FTC I (Review) |
5.3 #5-40. |
| Jan 14: Substitution |
5.6 #7-27 odd. |
| Jan 16: Substitution |
5.6 #33-75 odd. |
| 2 |
Jan 19: Holiday |
|
| Jan 20: Substitution |
5.7 #13-21 odd. |
| Jan 21: Trigonometric Integrals |
7.3 #1, 3, 5, 21, 25, 27, 39, 41, 47. |
| Jan 23: Trigonometric Integrals |
7.3 #13-51 odd, except those done above. |
| 3 |
Jan 26: Trigonometric Substitution |
7.4 #5-29 odd. |
| Jan 27: Trigonometric Substitution |
| Jan 28: Integration by Parts |
7.2 #1-11 odd. |
| Jan 30: Integration by Parts |
7.2 #13-19 odd, 33-41 odd, 55-62. |
| 4 |
Feb 2: Integration by Parts |
|
| Feb 3: Partial Fractions |
7.6 #9-25 odd. |
| Feb 4: Partial Fractions |
7.6 #27-37 odd. |
| Feb 6: Partial Fractions |
|
| 5 |
Feb 9: Improper Integrals |
7.7 #5, 7, 13, 15, 21, 29, 31, 35, 37. |
| Feb 10: Improper Integrals |
7.7 #9, 11, 25, 33, 43, 45. |
| Feb 11: Review |
Ch 7 Review #17-24, 83-93 odd; also look at 26-69. |
| Feb 13: Test 1 |
|
| 6 |
Feb 16: Taylor Polynomials |
8.4 #1-13 odd, 19, 20. |
| Feb 17: Taylor Expansions |
10.7 #3-13 odd. |
| Feb 18: Taylor Expansions |
10.7 #26, 30, 64-67. |
| Feb 20: Positive Series |
10.3 #1-9 odd. |
| 7 |
Feb 23: Positive Series |
10.3 #15, 19-27. |
| Feb 24: Holiday |
|
| Feb 25: Limit Comparison Test |
10.3 #34-38, 40. |
| Feb 27: Geometric Series |
10.2 #13-33 odd. |
| 8 |
Mar 2: Telescoping Series |
10.2 #34, 40, 41. |
| Mar 3: Alternating Series |
10.4 #19-25. |
| Mar 4: Absolute Convergence |
10.4 #3-11 odd. |
| Mar 6: Ratio & Root Test |
10.5 #1-17 odd, 21, 35, 41-51 odd. |
| 9 |
Mar 9: Power Series |
10.6 #1-21 odd. |
| Mar 10: Power Series |
10.6 #27-33 odd; 10.7 #5*, 11*, 19*, 32, 35, 55.
(*also find the radius of convergence and behavior at endpoints) |
| Mar 11: Review |
Ch 10 Review #27-31, 35-44, 58-63, 66-68, 71-89. |
| Mar 13: Test 2 |
#. |
| Spring Break |
| 10 |
Mar 23: Area Between Curves |
6.1 #1, 3, 15, 17. |
| Mar 24: Volume |
6.2 #1, 3, 5, 9, 11, 13, 23. |
| Mar 25: Volumes of Revolution |
6.3 #5, 11, 13, 15. |
| Mar 27: Volumes of Revolution |
6.3 #23-28. |
| 11 |
Mar 30: Volume |
6.2 #29-34. |
| Mar 31: Work |
6.5 #17, 21, 23, 27. |
| Apr 1: Work |
6.5 #3, 5, 7. |
| Apr 3: Average Value |
6.2 #37, 43, 53, 55. |
| 12 |
Apr 6: Density & Fluid Flow |
6.2 #25, 27, 31, 33, 35. |
| Apr 7: Arc Length |
8.1 #5, 7, 9, 19. |
| Apr 8: Parametric Equations |
11.1 #5, 11, 13, 19, 20, 40, 45, 47. |
| Apr 10: Arc Length |
11.2 #3, 5, 7, 9, 13. |
| 13 |
Apr 13: Surface Area |
8.1 #33, 35, 37, 39. |
| Apr 14: Surface Area |
11.2 #31, 32. |
| Apr 15: Review |
Ch 6 #3, 13, 15, 29, 41; Ch 8 #1, 7; Ch 11 #15, 23. |
| Apr 17: Test 3 |
|
| 14 |
Apr 20: Polar Coordinates |
11.3 #5, 7, 13, 15, 19, 21. |
| Apr 21: Polar Arc Length |
11.3 #53; 11.4 #25, 31, 33, 35. |
| Apr 22: Polar Area |
11.4 #7, 13, 15. |
| Apr 24: Polar Area |
|
| 15 |
Apr 27: Integration Techniques Review |
Ch 7 #17, 18, 20, 24, 35, 47, 60. |
| Apr 28: Applications Review |
Ch 6 #25, 29, 33; Ch 8 #3, 9; Ch 11 #23, 33, 36, 37, 38. |
| Apr 29: Series Review |
Ch 10 #85-90, 96, 100, 101, 107. |
| May 1: Review |
|
| 16 |
May 6: Final Exam |
Wednesday, 1:00-3:00 in ILB 306 |
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