| Week: | Jan 23 |
| 5.1, 5.2, 5.3: | Review of the definite integral and the Fundamental Theorem of Calculus |
| Homework: | 5.1: 16 5.2: 18, 28 5.3: 12, 46 |
| Suggested Exercises: | 5.1: 11, 15, 17 5.2: 5, 17, 23, 27, 47 5.3: 9, 17, 25, 45 |
| Remarks: | none |
| Week: | Jan 30 |
| Section 5.3, 5.4, 5.5: | The Fundamental Theorem of Calculus Substitution |
| Homework: | 5.3: 48 5.4: 8, 16 5.5: 6, 34 |
| Suggested Exercises: | 5.3: 11,19, 23 5.4: 7, 15, 17, 23 5.5: 5, 11, 17, 31, 47, 53 |
| Remarks: | none |
| Week: | Feb 6 |
| Section 5.6, 5.7: | Integration by parts Trigonometric integrals Trigonometric substitutions, Partial fractions |
| Homework: | 5.6: 8, 18, 30 5.7: 4, 22 |
| Suggested Exercises: | 5.6: 7, 17, 19, 25 5.7: 5, 9, 19, 21 |
| Remarks: | none |
| Week: | Feb 13 |
| Section 5.7, 5.9, 5.10: | Partial Fractions Approximate integration Improper integrals |
| Homework: | 5.7: 26, 32 5.9: no homework 5:10: 8, 14, 44 |
| Suggested Exercises: | 5.7: 23, 27, 31 5.9: no homework 5:10: 5, 15, 23, 45 |
| Remarks: | none |
| Week: | Feb 20 |
| Section 5.10, 6.1: | Improper integrals(continued) More about area |
| Homework: | no homework |
| Suggested Exercises: | 5.10: 1, 5, 11, 17, 43, 47 6.1: 1, 3, 7, 11, 15, 17 |
| Remarks: | none |
| Week: | Feb 27 |
| Section 6.2, 6.3, 6.4, 6.5: | Volumes of revolution Arc length Average Value |
| Homework: | 6.2: 12 6.3: 6, 10 6.4: 8 6.5: 2 |
| Suggested Exercises: | 6.2: 5, 9, 17 6.3: 5, 7, 9, 13 6.4: 5, 11 6.5: 3, 5, 12 |
| Remarks: | Midterm I, Monday Feb 27 8:30-10:00pm Javits 100 Chapetr 5 (not section 8 and 9) |
| Week: | March 5 |
| 6.6, App H: | Work (skip pressure and skip center
of mass) Polar coordinates |
| Homework: | 6.6: 6 Appendix H1: 12, 16, 56 Appendix H2: 4, 30 |
| Suggested Exercises: | 6.6: 5, 13, 21 Appendix H1: 11, 15, 17, 53 Appendix H2: 3, 5, 25, 29 |
| Remarks: | none |
| Week: | March 12 |
| 8.1, 8.2, 8.3: | Sequences Infinite series Integral test |
| Homework: | 8.1: 12, 56 8.2: 24, 20, 32 |
| Suggested Exercises: | 8.1: 19, 27, 29, 51, 55 8.2: 15, 17, 25, 29, 33, 34 |
| Remarks: | none |
| Week: | March 19 |
| 8.3, 8.4, 8.5: | Integral, Comparison Limit comparison tests Ratio test Alternating series test Absolute convergence Power series" |
| Homework: | 8.3: 6,10 8.4: 26,32, 36 |
| Suggested Exercises: | 8.3: 7, 19, 25, 27 8.4: 25, 31, 35 |
| Remarks: | Midterm II, Thursday March 22 Javits 100 8:30-10:00pm Chapter 6 section 1,2,3,4,5,6 Appendic H1 and H2 Chapter 8 section 1 and 2 |
| Week: | March 26 |
| 8.6, 8.7: | Functions as series Taylor and Maclaurin series |
| Homework: | 8.5: 6, 10, 18 8.6: 4, 24 8.7: 8, 12, 18 |
| Suggested Exercises: | 8.5: 7, 9, 13, 15, 21 8.6: 5, 7, 9, 10, 15, 23 8.7: 3, 7, 9, 11, 15 |
| Remarks: | It's a bit more homework but there
is the spring break |
| Week: | April 2 |
| |
|
| Homework: | |
| Suggested Exercises: | |
| Remarks: | Spring break |
| Week: | April 9 |
| 8.7, 8.8, App I: | Taylor & Maclaurin series
(continued) Applications of Taylor series Complex numbers" |
| Homework: | 8.8: 12, 16 Appendix I: 2, 6, 10, 22, 30, 34 |
| Suggested Exercises: | 8.8: 11, 13 Appendix I: 1, 3, 5, 7, 9, 15, 19, 23, 29, 33, 47 |
| Remarks: | It's a bit more homework, but most
of these are tiny ones |
| Week: | April 16 |
| 7.1, 7.2, 7.3: | Modeling with differential equations Direction fields, Euler's method Separable Equations |
| Homework: | 7.1: 2, 4 7.2: 2 7.3: 4, 12, 20 |
| Suggested Exercises: | 7.1: 1, 5, 9 7.2: 1 7.3: 3, 15, 18, 19, 21 |
| Remarks: | none |
| Week: | April 23 |
| 7.4, 7.5, 7.6: |
Exponential growth, logistic equation, Preditor-prey equation |
| Homework: | 7.5: 4 7.6: 10 |
| Suggested Exercises: | 7.5: 5 7.6: 11 |
| Remarks: | none |
| Week: | April 30 |
| |
Review everything |
| Homework: | no homework |
| Suggested Exercises: | no homework |
| Remarks: | This week will be dedicated to review of all course material |