| Lecture Topic | Sections | Problems | |
|---|---|---|---|
| 1 | Integration review | 5.3-5.5 | 5.3: 3,27
5.4: 7,15,19,45 5.5: 9,11,13,17,19,21,29,33,39 |
| 2 | Numerical Integration | 5.8 | 5.8: 3,7,11,13,19,21,27,29 |
| 3 | Area between curves | 6.1 | 6.1: 1,3,5,9,12,13,15,19,24 |
| 4 | Volumes | 6.2 | 6.2: 1,5,7,9,13,15,20,25,31,35,41,42,55,59 |
| 5 | Volumes, Applications | 6.2, 6.6 | 6.6 5,9,15,17,21 |
| 6 | Applications | 6.6 | 6.6 25,28,29,39,49,53,57 |
| 7 | Integration by parts; Integration Tables | 7.1, 7.2 | 7.1: 3,5,11,13,15,17,27,31,42,47,53 7.2: 1,3,7,13,17,21,22,26,35,37 |
| 8 | Trig. Integrals Partial fractions | 7.3, 7.4 | 7.3: 5,7,11,12,13,17,19,22,49,53,57 7.4: 1,2,5,7,15,17,19,23,27,29,31,57,59 |
| 9 | Differential Equations: Separable equations | 5.6 | 5.6: 1,5,7,9,11,17,20,21,23,25,27,29,45,47,61,63 |
| 10 | Differential Equations First order | 7.6 | 7.6: 1,5,11,13,23,24,25,28,35,43 |
| 11 | Improper Integrals | 7.7 | 7.7: 3,5,13,17,19,21,25,27,31,33,35,39,47,49 |
| 12 | FIRST EXAM | . | . |
| 13 | Taylor polynomials | G2.1 | G2.1: 1,5,7,13,15,17,19,22,27,29,30 |
| 14 | Sequences | 8.1 | 8.1: 5,9,13,17,23,25,31,42-45,47 |
| 15 | Geometric Series | 8.2 | 8.2: 3-8,15,16,23,25,33,39,41,49,53,56 |
| 16 | Convergence Tests | 8.3, 8.4 | 8.3: 3,4,5,7,9,13,15,19,21,29,33,43,45,55 8.4: 1,3,9,12,13,17,19,27,33,37,47,53 |
| 17 | Ratio and Root tests | 8.5 | 8.5: 3,5,7,9,13,17,21,29,33,39,53 |
| 18 | Absolute Convergence Alternating Series | 8.6 | 8.6: 5,7,9,11,13,17,21,25,31,35,39,49 |
| 19 | Power Series | 8.7 | 8.7: 1,5,9,11,13,17,21,25,31,35,39,49 |
| 20 | SECOND EXAM | . | . |
| 21 | Taylor Series | 8.8 | 8.8: 3,7,13,21,25,31,33,39,49,55,60,69 |
| 22 | Functions of Several Variables | G1.1 | G1.1: 7,3,15,15,17,18,19,23-26 |
| 23 | Partial Derivatives | G1.2 | G1.2: 3,4,9,15,18,25,26,27,28,35 |
| 24 | Maxima and Minima | G1.3 | G1.3: 3,5,8,11,12,14,16,17,23,26,29,31,33 |
| 25 | Constrained Optimization | G1.4 | G1.4: 1,5,9,11,12,13,15,18,19,25,26 |
| 26 | Least Squares Regression | G1.5, G1.6 | G1.5: 1,3,5,9,11,15 G1.6: 1,3,5 |
| 27 | Double Integrals | G1.7 | G1.7: 1,3,5,6,9,11,13,14 |
| 28 | Catch-up, Review | . | . |