Monday, 9/16 | Intro to the course, famous problems that Calc II can solve, discussion of syllabus, note card activity on kinds of functions. |
Wednesday, 9/18 | 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, 9/20 | 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, 53, 59. |
Monday, 9/23 | Integration by Parts Read Section 7.1 |
Wednesday, 9/25 | Trigonometric Integrals Read: Section 7.2. HW #2 due: Section 5.3, #1, 17, 34, 37, 39. Section 5.6, #33, 40, 55. Section 7.1, #8, 11, 15, 18, 21, 24, 27, 28, 33, 37, 44, 47, 53. |
Friday, 9/27 | Trig substitution Read: Section 7.3 |
Monday, 9/30 | 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, 10/2 | Improper integrals and L'Hospital's Rule Read: Section 7.6, review Section 4.5 |
Friday, 10/4 | More improper integrals. Arc Lengths and Surface Areas. Read: Section 8.1 HW due: Section 7.5, #11, 14, 16, 27, 30, 38. Section 7.6, #1, 8, 10, 19, 23, 26, 30, 33, 38, 39. |
Monday, 10/7 | Gabriel's Horn and philosophical implications. Numerical Integration (Section 7.8). |
Wednesday, 10/9 | More on Simpson's Rule (Section 7.8.), Intro to Differential Equations. Read: Section 9.1 HW due: Section 7.6, Preliminary questions #4, 5, then #63, 67, 68, 69. Section 8.1, #9, 30, 36. Section 7.8, #14, 15, 17, 27. |
Friday, 10/11 | Review |
Monday, 10/14 | Midterm 1 |
Wednesday, 10/16 | Separable differential equations. |
Friday, 10/18 | More separable differential equations. The logistic equation. Read: Section 9.4. HW due: Section 7.8, #42, 43. Section 9.1, #8, 9, 14, 15, 22, 25, 31, 35, 44, 55, 56, and the problems on this sheet. |
Monday, 10/21 | No class -- Mid-term break |
Wednesday, 10/23 | The logistic equation. Taylor Polynomials. Read: Section 8.4 up to the error bound. |
Friday, 10/25 | Taylor Polynomial error bound and an introduction to Taylor series. If time, a few words on sequences. Read: Section 10.1. HW #8 due: Section 9.4, #2, 3, 4, 5, 7, 8, 9, 10 (for the problems in this section, you can use the formula derived in class or the one derived in the book -- you don't need to reproduce the steps to obtain the solution to the DE). Section 8.4, #7, 10, 11, 13, 14, 20, 21, 55. |
Monday, 10/28 | Sequences and Series. Read: Take another look at Section 10.1. Skim Section 10.2. |
Wednesday, 10/30 | Convergence of series, geometric series. Read: Section 10.2. HW due: Section 8.4, #35, 38. Section 10.1, #3, 6, 18, 19, 20, 22, 26, 38, 40, 49, 50, 62. |
Friday, 11/1 | The Nth term divergence test and the Integral test. Read: Section 10.3 on integral test. HW due: Section 10.2, #2, 27, 28, 29, 33, 34, 35, 37 |
Monday, 11/4 | Review |
Wednesday, 11/6 | Midterm 2 |
Friday, 11/8 | The integral test and comparison test. Read: Section 10.3 on the comparison test. Review the integral test. |
Monday, 11/11 | Read: Section 10.4 |
Wednesday, 11/13 | Alternating Series, absolute convergence, and the alternating series error estimate. Read: Section 10.5 HW Due: Section 10.3, #2, 7, 8, 10, 11, 21, 45, 50, 56, 57, 59. Section 10.4, #3, 4, 7 (for the previous three, you only need to determine whether the series converge or diverge), 29, 30. |
Friday, 11/15 | The Ratio Test. Power Series. Read: Section 10.6 through the end of example 7. |
Monday, 11/18 | Taylor series Read: Section 10.7. HW Due: Section 10.4, #3, 5, 7, 8, 12, 13, 16. Section 10.5, #2, 6, 9, 10, 17, 20, 24, 43, 45, 46, 52. Section 10.6, #10, 13, 23. |
Wednesday, 11/20 | More Taylor series. Writing assignment due. |
Sunday, 11/24 | Final Exam, 3a Section, 3:30-6:00 pm, usual classroom |
Monday, 11/25 | Final Exam, 1a Section, 12:00-2:30 pm, usual classroom |