Note: If you intend to take higher level courses requiring CALC2, do not take Math 136 or Math 138; take Math 152 instead.
All chapter numbers in the syllabus refer to the Rutgers University custom text Calculus, Special Edition, published by KendallHunt.
| Lecture | Topic | Sections | Problems |
|---|---|---|---|
| 1 | Integration Review | 5.3-5.5 | 5.3: 3,27 5.4: 7,15,17,45 5.5: 9,11,13,17,19,21,29,33,39 |
| 2 | Numerical Integration | 5.8 | 5.8: 3,7,11,13,19,21,29,38 |
| 3 | Area between curves | 6.1 | 6.1: 1,3,5,9,12,13,15,19,24,31 |
| 4 | Volumes | 6.2 | 6.2: 1,5,7,9,13,15,20,25,29,35,41,42,50,55 |
| 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: 3,4,11,13,15,17,27,31,42,45,49 7.2: 1,3,7,15,17,21,22,26,37,41 |
| 8 | Trig. integrals, partial fractions | 7.3, 7.4 | 7.3: 5,7,11,12,13,17,19,22,49,53,57 7.4: 1,2,5,7,11,15,17,23,27,29,51,53 |
| 9 | Differential Equations Separable equations |
5.6 | 5.6: 1,5,7,9,11,17,20, 21,23,25,27,29,45,47,57 |
| 10 | Differential Equations First order |
7.6 | 7.6: 1,5,11,23,24,25,35,40,43 |
| 11 | Improper Integrals | 7.7 | 7.7: 3,5,13,17,19,21,25,27,31,33,35,39,43,45 |
| 12 | FIRST MIDTERM | ||
| 13 | Sequences | 8.1 | 8.1: 5,9,13,17,23,25,31,43-46,48 |
| 14 | Geometric Series | 8.2 | 8.2: 3-8,15,16,23,25,33,39,41,43,47,51 |
| 15 | Convergence tests | 8.3,8.4 | 8.3: 3,4,5,7,9,13,15,19,21,29,31,39,43,45,55 8.4: 1,3,9,12,13,17,19,27,33,37,47,53 |
| 16 | Ratio and root tests | 8.5 | 8.5: 3,5,7,9,13,17,21,29,33,39,53 |
| 17 | Absolute convergence Alternating series |
8.6 | 8.6: 5,7,9,11,13,17,21,25,31,35,39,45 |
| 18 | Power series | 8.7 | 8.7: 1,5,9,11,13,17,21,25,31,35,39,43,49 |
| 19 | Taylorpolynomials and series | 8.8 | 8.8: 3,7,13,21,25,27,29,33,37,39,47,49,52 |
| 20 | SECOND MIDTERM | ||
| 22 | Functions of several variables | 11.1 | 11.1: 3,7,11,15,17,18,19,23-26 |
| 23 | Partial Derivatives | 11.3 | 11.3: 3,4,9,18,19,25,26,27,28,42-45,47 |
| 24 | Maxima and Minima omit least squares |
11.7 | 11.7: 3,5,8,11,12,14,16,17,23,26,41,43,52 |
| 25 | Lagrange Multipliers skip gradient vectors |
11.8 | 11.8: 1,5,9,11,12,13,15,18,19,25,26,28,30,31 |
| 26 | Double Integrals | 12.1 | 12.1: 3,5,9,11,14,15, 19,23,25,44 |
| 27 | Double Integrals Other regions |
12.2 | 12.2: 3,4,6,7,9,11,13,14 |
| 28 | Catch-up, review |
