| Date |
Topic |
Homework |
| 5/26 |
The Definite Integral - Definition |
None |
| 5/27 |
The Definite Integral - Properties |
5.2: #1-7 odd; also integrate y=mx from 0 to b using the definition. |
| 5/28 |
The Fundamental Theorem of Calculus |
5.3: #5-39 odd. |
| 5/29 QUIZ 1 |
Substitution |
5.6: #7-27 odd. |
| 6/1 |
Substitution |
5.6: #33-53 odd. |
| 6/2 |
Transcendental Functions |
5.6: #55-75 odd; 5.7: #13, 19, 27, 65. |
| 6/3 |
Applications: Volume |
6.1: #3, 11, 17; 6.2: #3, 5, 9, 13, 23. |
| 6/4 |
More Volume |
|
| 6/5 MINI-TEST 1 |
|
Main Topics: Substitution, Volume. |
| 6/8 |
Solids of Rotation |
6.3: #23-34. |
| 6/9 |
Trigonometric Integrals |
7.3: #21-33 odd, 61. |
| 6/10 |
Trigonometric Substitution |
7.4: #1-11 odd, 12. |
| 6/11 |
Trigonometric Substitution |
7.4: #13-29 odd. |
| 6/12 QUIZ 2 |
Partial Fractions |
7.6: #. |
| 6/15 |
Integration by Parts |
7.2: #1-13 odd. |
| 6/16 |
Integration by Parts |
7.2: #15, 17, 19, 23, 33, 37, 39, 41. |
| 6/17 |
Improper Integrals |
7.7: #5-29 odd. |
| 6/18 |
Review |
7.2: #55-62; 6.3: #23-28. |
| 6/19 TEST 1 |
|
Main Topics: Integration Techniques & Volume |
| 6/22 |
Taylor Polynomials |
8.4: #1, 3, 5, 9, 21. |
| 6/23 |
Taylor Series |
10.7: #3-13 odd, 34, 35. |
| 6/24 |
Convergence |
10.2: #19-31 odd, 32. |
| 6/25 |
Ratio Test |
10.5: #1-17 odd; 10.6: #1, 5, 7, 11, 15, 19, 23. |
| 6/26 QUIZ 3 |
Root Test |
10.5: #35, 37, 39. |
| 6/29 |
Series Representations |
10.7: #45-48, 54-57. |
| 6/30 |
Positive Convergence Tests |
10.3: 1-9 odd, 15-25 odd. |
| 7/1 |
Limit Comparison |
10.3: #35-39 odd, #49-73 odd. |
| 7/2 |
Alternating Series |
10.4: #3-11 odd, 19-25 odd. |
| 7/6 |
Review |
Ch 7 Rev.: # 85-89, 96, 100, 104. |
| 7/7 MINI-TEST 2 |
|
Main Topics: Convergence of power series, Taylor series. |
| 7/8 |
Parametrizations |
11.1: #11, 19, 23, 25, 45, 47. |
| 7/9 |
Arc-Length |
11.2: #. |
| 7/10 QUIZ 4 |
Surface Area |
|
| 7/13 |
Polar Coordinates |
11.3: #3, 5, 7, 13, 15, 23, 25. |
| 7/14 |
Polar Derivatives and Arc Length |
11.3: 53; 11/4: #25, 29, 31. |
| 7/15 |
Polar Area |
11.4: #5, 7, 9, 13. |
| 7/16 |
Review |
Ch 11: #15, 17, 19, 23, 27, 29, 33, 35, 37. |
| 7/17 TEST 2 |
|
|
| 7/20 |
Review |
Ch 7 Review: #17-24, 27, 29, 31, 35, 45, 47, 83, 85, 87, 89, 91, 99; Ch 10 Review: #29, 31, 71, 73, 77, 85, 87, 107; Ch 11 Review: #15, 17, 23, 27, 33, 35. |
| 7/21 |
No Class |
|
| 7/22 |
Final Exam 1 |
|
| 7/23 |
Final Exam 2 |
|