| Date | Lecture | Topic | Assignment | ||
|---|---|---|---|---|---|
| Wed, Aug 26 | 1 | Review of Differentiation | p. 158: odd 53 - 69; 86, 87, 88; p. 251: 15, 25, 53 | ||
| Fri, Aug 28 | 2 | Integration by Substitution | p. 301: 1, 3, 9, 13, 17, 21, 35, 39, 55, 57, 61, 65 | ||
| Mon, Aug 31 | 3 | Natural Logarithms | p. 325: 3, 5, 7, 9, 12, 18, 21, 26, 29, 31 | ||
| Tue, Sep 1 | 4 | Derivatives of Logarithms | p. 325: 41, 43, 45, 49, 51, 61, 63, 89, 91, 93, 103, 107 | ||
| Wed, Sep 2 | 5 | Integration using Logarithms | p. 334: 1, 3, 7, 12, 13, 17, 27, 29, 32, 34, 39, 70, 96, 97 | ||
| Fri, Sep 4 | 6 | Inverse Functions | p. 343: 2, 5, 8, 10, 17, 20, 29, 33, 35, 41, 45 | ||
| Mon, Sep 7 | 7 | Differentiating Exponential Functions | p. 352: 2, 9, 15, 27, 28, 33, 35, 37, 41, 45, 49, 51 | ||
| Tue, Sep 8 | 8 | Integrating Exponential Functions | p. 352: 71, 72, 93, 95, 97, 99, 103, 105, 109, 113, 116, 141, 142 | ||
| Wed, Sep 9 | 9 | Bases Other than e | p. 362: 1, 6, 9, 11, 25, 41, 47, 53, 60, 70, 71, 73, 75 | ||
| Fri, Sep 11 | 10 | Inverse Trigonometric Functions | p. 372: 5, 7, 9, 15, 17, 19, 21-26 | ||
| Mon, Sep 14 | 11 | Differentiating the Inverse Trig Functions | p. 372: 27, 33, 35, 41, 45, 49, 55, 58, 81, 97, 99, 101 | ||
| Tue, Sep 15 | 12 | Integrating the Inverse Trig Functions | p. 380: 1, 2, 3, 4, 5, 6, 11, 15, 25, 29, 33, 37 | ||
| Wed, Sep 16 | 13 | Integration Methods | p. 380: 47, 48, 49, 50, 70, 80 | ||
| Fri, Sep 18 | 14 | The Hyperbolic Trig Functions | p. 390: 1, 5, 7, 13, 17, 23, 24, 27, 31, 32, 37 | ||
| Mon, Sep 21 | 15 | The Inverse Hyperbolic Trig Functions | p. 390: 43, 47, 55, 57, 59, 65, 73, 74, 75, 77, 79, 81, 83 | ||
| Tue, Sep 22 | 16 | Integration Examples | p. 393: 19, 47, 49, 66, 77, 78, 79, 95, 96 | ||
| Wed, Sep 23 | 17 | Area Between Two Curves | p. 442: 1, 3, 5, 13, 15, 16, 17, 23, 28, 34, 43, 80, 82 | ||
| Fri, Sep 25 | Test 1 | ||||
| Mon, Sep 28 | 18 | The Disk Method | p. 453: 1, 2, 3, 7, 8, 11(a), 11(c), 23, 25, 33, 35, 65 | ||
| Tue, Sep 29 | 19 | The Washer Method | p. 453: 5, 6, 11(b), 11(d), 15, 20, 21, 29, 30, 41, 45, 47 | ||
| Wed, Sep 30 | 20 | The Shell Method | p. 462: 1, 3, 7, 8, 13, 17, 27, 29, 51, 52, 53 | ||
| Fri, Oct 2 | 21 | Shell Method Examples | p. 462: 59, 60, 61 | ||
| Mon, Oct 5 | 22 | Arc Length | p. 473: 3, 4, 9, 11, 14, 17, 19, 21, 23, 34 | ||
| Tue, Oct 6 | 23 | Surface Area | p. 473: 43, 44, 47, 54, 56, 58, 65 | ||
| Wed, Oct 7 | 24 | Work (introduction) | None | ||
| Fri, Oct 9 | 25 | Work | p. 483: 5, 7, 11, 12, 15, 17, 19, 20, 21, 25, 26 | ||
| Mon, Oct 12 | 26 | Center of Mass | p. 494: 1, 3, 4, 5, 6, 7 | ||
| Tue, Oct 13 | 27 | Center of Mass | p. 494: 9, 13, 15, 17, 32, 37, 39, 45, 46 | ||
| Wed, Oct 14 | 28 | Integration by Parts | p. 521: 1, 3, 7, 8, 10, 11, 12, 13, 15, 26 | ||
| Fri, Oct 16 | 29 | Integration by Parts | p. 521: 19, 21, 22, 25, 27, 29, 50, 51, 55, 61, 67, 69 | ||
| Mon, Oct 19 | Fall Break | ||||
| Tue, Oct 20 | Fall Break | ||||
| Wed, Oct 21 | 30 | Trigonometric Integrals - sin and cos | p. 530: 1, 2, 3, 4, 5, 9, 10, 11, 12, 13, 15, 18 | ||
| Fri, Oct 23 | Test 2 | ||||
| Mon, Oct 26 | 31 | Trigonometric Integrals - tan and sec | p. 530: 19, 21, 24, 25, 26, 30, 42, 43, 46, 59, 60, 63 | ||
| Tue, Oct 27 | 32 | Trigonometric Integrals - tan and sec | p. 530: 79, 80, 81, 83, 83, 85, 86 | ||
| Wed, Oct 28 | 33 | Trigonometric Substitutions | p. 539: 1, 2, 4, 5, 7, 9, 11, 13, 15, 55, 56 | ||
| Fri, Oct 30 | 34 | Examples of Trigonometric Substitutions | p. 539: 57, 58, 61, 62, 68, 72, 73, 74 | ||
| Mon, Nov 2 | 35 | Partial Fractions - Distinct Linear Factors | p. 549: 5, 6, 7, 9, 11, 12, 23, 27, 43 | ||
| Tue, Nov 3 | 36 | Partial Fractions - Repeated Linear Factors | p. 549: 13, 14, 15, 16, 24, 35, 36, 37, 38 | ||
| Wed, Nov 4 | 37 | Partial Fractions - Quadratic Factors | p. 549: 17, 18, 19, 21, 22, 31, 33 | ||
| Fri, Nov 6 | 38 | L'Hopital's Rule - 0/0 and inf/inf | p. 564: 5, 7, 11, 12, 13, 14, 16, 19, 21, 23, 25, 29, 39 | ||
| Mon, Nov 9 | 39 | L'Hopital's Rule - 0 x inf, 1^inf, 0^0, inf - inf | p. 564: 43, 44, 45, 47, 49, 52, 55, 88, 99, 100 | ||
| Tue, Nov 10 | 40 | Improper Integrals | p. 564: 57, 58, 59, 60 p. 575: 17, 18, 19, 21, 23, 25, 27 |
||
| Wed, Nov 11 | 41 | Improper Integrals | p. 575: 33, 35, 37, 41, 43, 49, 51, 95, 96, 98, 103 | ||
| Fri, Nov 13 | 42 | Sequences | p. 592: 2, 7, 9, 10, 13, 16, 21, 22, 23, 29, 33, 35 | ||
| Mon, Nov 16 | 43 | Series | p. 601: 1, 2, 7, 8, 15, 17, 25, 26, 29, 31 | ||
| Tue, Nov 17 | 44 | Telescoping Series | p. 601: 28, 34, 41, 42, 44, 45, 47, 48, 52, 67, 68 | ||
| Wed, Nov 18 | 45 | The Integral Test | p. 609: 1, 4, 6, 7, 11, 15, 24, 30, 33, 34, 55, 56 | ||
| Fri, Nov 20 | Test 3 | ||||
| Mon, Nov 23 | 46 | The Direct Comparison Test | p. 616: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 | ||
| Tue, Nov 24 | 47 | The Limit Comparison Test | p. 616: 13, 14, 15, 17, 19, 23, 25, 26, 27 | ||
| Wed, Nov 25 | Thanksgiving Break | ||||
| Fri, Nov 27 | Thanksgiving Break | ||||
| Mon, Nov 30 | 48 | Alternating Series | p. 625: 5, 6, 7, 10, 13, 16, 23, 24, 27, 29, 31, 35 | ||
| Tue, Dec 1 | 49 | Absolute and Conditional Convergence | p. 625: 38, 39, 40, 41, 42, 43, 45, 71, 73, 75, 78, 80 | ||
| Wed, Dec 2 | 50 | The Ratio Test | p. 633: 1, 5, 6, 8, 9, 15, 16, 21, 22, 30, 33, 34 | ||
| Fri, Dec 4 | 51 | Taylor Polynomials | p. 644: 5, 8, 9, 13, 14, 15, 20, 22, 24 | ||
| Mon, Dec 7 | 52 | Taylor Polynomials | p. 644: 26, 27, 28, 30, 41, 42, 44 | ||
| Tue, Dec 8 | 53 | Power Series & Review | None | ||
| Fri, Dec 11 | Final Exam (9:00 - 12:00) | ||||