| Monday, 9/15 | Intro to the course, famous problems that Calc II can solve, discussion of syllabus, note card activity on kinds of functions. |
| Wednesday, 9/17 | Review of functions and their derivatives: inverse functions, exponential and logarithmic functions, inverse trig functions, etc. To get ready for class, skim sections 1.5, 1.6, 3.8, 3.9. |
| Friday, 9/19 | Continue function review, if necessary. Then review of basic integrals and the Fundamental Theorem of Calculus. Skim Section 5.2, read Section 5.3. HW #1 due: (this should be mostly review) Section 1.5, #6, 16, 17, 25, 28. Section 1.6, #20, 26, 27, 31. Section 3.8, #9, 11, 20, 25, 27, 32. Section 3.9, #6, 11, 12, 34, 45, 53, 59. |
| Monday, 9/22 | Integration by Parts Read Section 7.1 |
| Wednesday, 9/24 | Trigonometric Integrals Read: Section 7.2. HW #2 due: Section 5.3, #3, 15, 27, 34, 39. Section 5.6, #33, 40, 55. Section 7.1, #8, 11, 15, 18, 21, 24, 27, 28, 37, 44, 47, 53. |
| Friday, 9/26 | Trig substitution Read: Section 7.3 |
| Monday, 9/29 | Partial fractions. Read: Section 7.5 HW #3 due: Section 7.2, #23, 24, 28, 29, 34, 37, 41, 43, 44, 48, 50. Section 7.3, #16, 21, 26, 30, 50, 55. |
| Wednesday, 10/1 | Improper integrals and L'Hospital's Rule Read: Section 7.6, review Section 4.5 |
| Friday, 10/3 | More improper integrals. HW due: Section 7.5, #11, 14, 16, 27, 53, 54, 62. Section 7.6, #1, 8, 10, 19, 23, 26, 30, 33, 38, 39. |
| Monday, 10/6 | Arc Lengths and Surface Areas. Gabriel's Horn and philosophical implications. Read: Section 8.1 |
| Wednesday, 10/8 | Numerical Integration and Simpson's Rule (Section 7.8.). HW due: Section 7.6, Preliminary questions #4, 5, then #63, 67, 68, 69, 75, 76. Section 8.1, #9, 30, 36. |
| Friday, 10/10 | Review |
| Monday, 10/13 | Midterm 1 |
| Wednesday, 10/15 | More on Simpson's Rule (Section 7.8). Differential Equations: what they are and how to solve separable ones. Read: Sections 7.8 and 9.1 |
| Friday, 10/17 | Separable Differential Equations (Section 9.1). HW due: Section 7.8, #14, 15, 17, 27, 42, 43. Section 9.1, . |
| Monday, 10/20 | No class -- Mid-term break |
| Wednesday, 10/22 | More on Differential Equations. HW due: Section 9.1, #8, 9, 14, 15, 22, 25, 31, 35, 44. |
| Friday, 10/24 | Taylor Polynomials. Read: Section 8.4. |
| Monday, 10/27 | More on Taylor polynomials, including error estimate. A few words on sequences HW due: Section 9.1, 55, 56, and the problems on this sheet. Section 8.4, #7, 10, 11, 13, 14, 19, 55. |
| Wednesday, 10/29 | Convergence of Sequences (10.1) and Series (10.2) Read: pages 537-540 of Section 10.1 |
| Friday, 10/31 | More on Convergence of Series. Nth term divergence test. Geometric series. If time, the Integral Test. Read: Section 10.2. HW due: Section 8.4, #38. Section 10.1, #3, 6, 18, 19, 20, 22, 26, 38, 40, 49, 50, 62. |
| Monday, 11/3 | Review. HW due: Section 10.2, #2, 6, 27, 28, 29, 33, 34, 35, 37. |
| Wednesday, 11/5 | Midterm 2 |
| Friday, 11/7 | The integral test. Read: Section 10.3. |
| Monday, 11/10 | The Integral and Comparison Tests. Read: First two pages of Section 10.4 HW Due: Section 10.3, #2, 4, 7, 9, 10, 11, 12. |
| Wednesday, 11/12 | Alternating Series, absolute convergence, and the alternating series error estimate. Read: Frist two and last two pages of Section 10.4. |
| Friday, 11/14 | The Ratio Test. A bit about power series. Read: Section 10.5. HW Due: Section 10.3, #21, 45, 50, 56, 57, 59. Section 10.4, #3, 5, 7, 8, 12, 13, 16, 17, 21, 22, 24, 29, 30. |
| Monday, 11/17 | Power Series. Read: Section 10.6. HW Due: Section 10.5, #2, 6, 9, 10, 17, 20, 45, 46, 52. |
| Wednesday, 11/19 | Taylor Series. Read: Section 10.6. Writing assignment due. |
| Monday, 11/24 | Final Exam, 7:00-9:30 pm, usual classroom |