The following is a tentative syllabus for the course. This page will be updated as changes occur, and homework problems will be posted as assigned. While it is expected that you will keep up with the assigned problems, homework will be collected weekly.
Date | Section(s) | Topic(s) and Problems |
|---|---|---|
| 8/23 | 7.1 | Substitution |
| 12,26,27,30,36,37,38,50,75,84 | ||
| 8/25 | 7.1 | Substitution cont'd |
| 55,59,61,62,66,73,74,76,86 | ||
| 8/28 | 7.2 | Integration by parts |
| 6,10,13,14,16,21,23,26,36,38,48 | ||
| 8/29 | 7.2; 7.3 | More integration |
| 7.2 | 18,25,35,52,54 | |
| 7.3 | 6,8,10,21,35,42,44,47 | |
| 8/30 | 7.4 | Partial fractions |
| 2,4,5,9,11,12,18,19,38,41 | ||
| Exercises from 8/23 through 8/30 due on 9/1 | ||
| 9/1 | 7.4 | Partial fractions cont'd |
| 20,23,25,28,36,45,56,60,63,64 | ||
| 9/4 | 7.5 | Approximating integrals |
| 2,5,7,8,9,10,12,13,14,20 | ||
| 9/5 | 7.6 | Approximation errors and Simpson's rule |
| 1,2,5,6,7,8,9 | ||
| 9/6 | 7.7 | Improper integrals |
| 5,9,11,13,16,18,20,21 | ||
| Exercises from 9/1 through 9/6 due on 9/8 | ||
| 9/8 | 7.7; 7.8 | Improper integrals and comparison of integrals |
| 7.7 | 7,14,23,27,35,38 | |
| 7.8 | 5,6,12 | |
| 9/11 | Review | |
| 9/12 | Exam 1 | |
| 9/13 | 7.8 | Comparison of integrals |
| 11,13,16,18,20,22,23,24,34 | ||
| Exercises from 9/8 through 9/13 due on 9/15 | ||
| 9/15 | 8.1 | Areas and volumes |
| 1,4,5,8,9,11,12 | ||
| 9/18 | 8.1 | Areas and volumes cont'd |
| 16,18,20,22,24,26,27,28 | ||
| 9/19 | 8.2 | Applications to geometry |
| 3,6,20,21,24,26,30,31,33 | ||
| 9/20 | 8.2 | More applications to geometry |
| 11,12,15,16,17,34,35,39,40 | ||
| Exercises from 9/15 through 9/20 due on 9/22 | ||
| 9/22 | 8.3 | Area and arc length in polar coordinates |
| Do this worksheet | ||
| 9/25 | 8.3 | More area and arc length |
| Do this worksheet | ||
| 9/26 | 8.3 | More area and arc length |
| 24,25,26,27,28,29,30,36,37 | ||
| 9/27 | 8.4 | Density and center of mass |
| 1,2,5,6,9,10,12,13 | ||
| Exercises from 9/22 through 9/27 due on 9/29 | ||
| 9/29 | 8.5 | Work |
| 3,4,7,9,10,12,14,16,17 | ||
| 10/2 | Review | |
| 10/3 | Exam 2 | |
| 10/4 | 8.5 | Force and Pressure |
| 18,19,22,23,27,29,30 | ||
| Exercises from 9/29 through 10/4 due on 10/6 | ||
| 10/6 | 9.1 | Sequences |
| 11,16,17,19,24,26,27,39,42,48 | ||
| 10/9 | 9.2 | Geometric series |
| 4,6,11,14,16,18,19,26 | ||
| 10/10 | 9.2; 9.3 | Geometric series and convergence of series |
| Do this worksheet | ||
| 10/11 | 9.3 | Convergence of series |
| 7,8,15,17,19,20,25,30,34 | ||
| Exercises from 10/6 through 10/11 due on 10/13 | ||
| 10/13 | 9.4 | Tests for convergence |
| 3,4,5,6,8,9,25,28,29,30 | ||
| 10/16 | Fall recess | |
| 10/17 | Fall recess | |
| 10/18 | 9.4 | Tests for convergence cont'd |
| 11,13,14,15,33,34,35,42,44,48 | ||
| Exercises from 10/13 through 10/18 due on 10/20 | ||
| 10/20 | 9.4 | Tests for convergence cont'd |
| 17,22,23,37,54,55,61,66 | ||
| 10/23 | 9.4 | Tests for convergence cont'd |
| 40,43,46,47,49,50,52,59,60,62 | ||
| 10/24 | 9.5 | Power series and intervals of convergence |
| 5,10,11,12,17,20,21,28 | ||
| 10/25 | 9.5 | More power series |
| 9,13,15,19,22,25,26,31,32,35 | ||
| Exercises from 10/20 through 10/25 due on 10/27 | ||
| 10/27 | 10.1 | Taylor polynomials |
| 3,7,14,15,16,18,23,26,30,33 | ||
| 10/30 | Review | |
| 10/31 | Exam 3 | |
| 11/1 | 10.2 | Taylor series |
| 2,5,12,13,18,21,24,28 | ||
| Exercises from 10/27 through 11/1 due on 11/3 | ||
| 11/3 | 10.2 | Taylor series cont'd |
| 8,20,23,25,36,37,42,43,44 | ||
| 11/6 | 10.3 | Using series |
| 3,6,8,11,14,16,19,21,22 | ||
| 11/7 | 10.3 | Using series cont'd |
| 5,18,24,25,30,32,33,35 | ||
| 11/8 | 10.4 | Error |
| 1,2,3,10,12,14,15,20 | ||
| Exercises from 11/3 through 11/8 due on 11/10 | ||
| 11/10 | 10.4 | Error cont'd |
| 4,5,6,7,8,13,17,18 | ||
| 11/13 | 11.1 | Differential equations introduction |
| 1,3,5,6,7,8,9,13,14,15 | ||
| 11/14 | 11.2 | Slope fields |
| 1,2,3,4,5,6,8,10 Pictures | ||
| 11/15 | 11.3 | Euler's method |
| 1,2,3,4,5,6,7 | ||
| Exercises from 11/10 through 11/15 due on 11/17 | ||
| 11/17 | 11.4 | Separation of variables |
| 7,11,21,25,32,36,39,41,46 | ||
| 11/20 | Review | |
| 11/21 | Exam 4 | |
| 11/22 | Thanksgiving recess | |
| 11/24 | Thanksgiving recess | |
| 11/27 | 11.5 | Growth and decay |
| 4,7,8,13,15,19,20,21 | ||
| 11/28 | 11.6 | Applications and modeling |
| 2,3,5,7,8,9 | ||
| 11/29 | 11.6 | More applications and modeling |
| 14,16,17,19,20,21 | ||
| Exercises from 11/17 through 11/29 due on 12/1 | ||
| 12/1 | Appendix B | Complex numbers |
| 4,6,12,13,16,17,20,26,32,34 | ||
| 12/4 | Appendix B | Complex numbers cont'd |
| Do this worksheet | ||
| 12/5 | Review | |