The first exam will be held on October 5 at our class' usual time and place. For the grading policy, see the syllabus. The second exam will be held on November 16, again at the usual time and place. According to my reading of the Rutgers catalog, our final exam is on Friday, December 22 at 8 AM in 203 SEC. There will be a review session for the exam at 5 PM on December 21 in room 212 SEC.
| Lecture | Sections | Topics | Suggested Problems |
|---|---|---|---|
| 1 | 6.1, 6.2 | Areas (review), volumes | 6.2: 3, 6, 7, 9, 12, 17, 26, 28, 54, 55, 61, 63,64, 65 |
| 2 | 6.3 | Volumes | 6.3: 1, 4, 39, 40, 45 |
| 3 | 6.4, 6.5 | Work, average values | 6.4: 7, 8, 13, 15, 19, 23, 28, 29 6.5: 2, 5, 9, 19, 23, 24 |
| 4 | 7.1 | Integration by parts | 7.1: 3, 8, 10, 13, 15, 20, 21, 41, 42, 45, 56, 62, 64, 65, 66 |
| 5 | 7.2, 7.3 | Trigonometric integrals, trigonometric substitution | 7.2:
2, 7, 19, 23, 24, 59, 64, 66, 67, 68 7.3: 7, 12, 13, 16, 20, 40, 41 |
| 6 | 7.4, 7.5 | Partial fractions, integration strategies | 7.4: 1, 3, 5, 9, 15, 16, 20, 28, 45, 48,
60, 62, 63, 64, 68 7.5: 1, 4, 8, 9, 19, 22, 29, 57, 74, 75, 77, 79, 80 |
| 7 | 7.7 | Approximations for integrals | 7.7: 1, 7, 8, 9, 20, 22, 30, 31, 42 , 43, 44, 46 |
| 8 | 7.8 | Improper integrals | 7.8: 2, 3, 5, 6, 7, 19, 24, 49, 54, 58, 59, 62, 63, 65, 66, 69, 71, 75 |
| 9 | 8.1, 8.2 | Arc length, surface area | 8.1: 3, 8, 11, 34, 35, 36, 37 8.2: 1, 4, 5, 6, 14, 31, 33, 36 |
| 10 | 9.1, 9.2, 9.3 | Differential equations, direction fields (not Euler's method), separable equations | 9.1: 1, 3, 4, 6, 9, 10, 11, 12, 13 9.2: 1, 3, 4, 5, 6, 9, 11, 18, 19, 27 |
| 11 | | Catch up and review | |
| 12 | |
First exam (click here for a key) | |
| 13 | 9.3, 9.4 | Separable equations; exponential growth | 9.3: 1, 4, 19, 20, 21, 37, 39, 41, 42 9.4: 3, 4, 5, 9, 10, 14, 17, 22 |
| 14 | 11.1, 11.2 | Sequences, series | 11.1: 2, 5, 6, 12, 13, 15, 18, 21, 26,
32, 34, 45, 46, 61, 64, 65, 72 11.2: 11, 14, 17, 18, 21, 22, 27, 38, 41, 44, 49, 51, 52, 57, 65 |
| 15 | 11.3 | Integral test, estimates | 11.3: 3, 7, 9, 13, 16, 21, 28, 31, 34, 38 |
| 16 | 11.4 | Comparison tests | 11.4: 3, 4, 5, 6, 9, 17, 18, 20, 23, 26, 33, 36, 37, 38, 44, 46 |
| 17 | 11.5, 11.6 | Alternating series, Absolute convergence | 11.5: 3, 6, 7, 12, 17, 22, 28, 31, 35,
36 11.6: 2, 3, 5, 6, 9, 17, 18, 23, 29, 30, 32, 35, 40 |
| 18 | 11.6, 11.7 | Ratio and root tests, strategies | 11.7: 1, 4, 5, 13, 16, 20, 21, 33, 35, 38 |
| 19 | 11.8 | Power series | 11.8: 6, 7, 16, 20, 25, 28, 30, 39, 40 |
| 20 | 11.9 | Representation of functions by power series | 11.9: 3, 4, 5, 6, 13, 14, 23, 27, 37, 38, 40 |
| 21 | 11.10 | Taylor and Maclaurin series | 11.10: 4, 5, 11, 15, 23, 24, 27, 28, 39, 42, 43, 47, 48, 51, 54, 56, 59, 60 |
| 22 | 11.10, 11.11 | More Taylor and Maclaurin series; binomial series | 11.11: 11, 14, 15, 19 |
| 23 | 11.12 | Applications of Taylor series | 11.12: 13, 14, 17, 20, 25, 26, 27, 28, 29 |
| 24 | | Catch up and review | |
| 25 | |
Second exam (click here for a key) | |
| 26 | 10.1, 10.2, 10.3 | Parametric equations, tangent lines, arc length & Polar Coordinates | 10.1: 7, 10, 13, 15, 19, 24abc, 25, 28,
36, 38, 39, 41 10.2: 3, 6, 9, 17, 25, 26, 39, 41, 44, 52, 53, 57, 61, 65, 69, 71, 73, 74 10.3: 2, 3, 7, 10, 18, 41, 44, 59, 63, 68, 81 |
| 27 | 10.4 | Areas and length in polar coordinates | 10.4: 5, 10, 14, 21, 23, 28, 45, 55, 56 |
| 28 | | Catch up and review for final exam | |