The following is a tentative syllabus for the course. This page will be updated as changes occur. It is highly recommended that you do the assigned homework before the next class. As shown below, homework will only be collected on Fridays.

## Date | ## Section | ## Topic, Exercises |
---|---|---|

8/23 | 7.1 | Substitution |

4, 12, 17, 19, 27 | ||

8/25 | 7.1 | Substitution cont'd |

30, 36, 38, 49, 55, 59, 65, 72, 75(c), 84 | ||

8/28 | 7.2 | Integration by parts |

3, 10, 12, 14, 16, 38, 39, 42, 52 | ||

8/29 | 7.2; 7.3 | More integration |

7.2 | 24, 26, 36 | |

7.3 | 6, 8, 10, 21, 34, 42, 44 | |

8/30 | 7.4 | Partial fractions |

3, 10, 11, 16, 18, 19, 35, 38, 49, 63 | ||

Exercises from 8/23 through 8/30 due on 9/1 | ||

9/1 | 7.4 | Partial fractions cont'd |

20, 23, 24, 26, 28, 52, 56, 59, 64 | ||

9/4 | 7.5 | Approximating integrals |

1, 2, 5, 7, 9, 10, 12, 13, 15, 16 | ||

9/5 | Integration bee | |

9/6 | 7.6 | Approximation errors and Simpson's rule |

1, 2, 5, 6, 7, 8, 9 | ||

Exercises from 9/1 through 9/6 due on 9/8 | ||

9/8 | 7.7 | Improper integrals |

1, 3, 9, 10, 12, 13, 15, 16, 17, 20 | ||

9/11 | Review | |

9/12 | Exam 1 | |

9/13 | 7.7; 7.8 | Improper integrals and comparison of integrals |

7.7 | 21, 23, 31, 32, 36 | |

7.8 | 4, 9, 12, 14, 17 | |

Exercises from 9/8 through 9/13 due on 9/15 | ||

9/15 | 7.8 | Comparison of integrals |

11, 13, 16, 18, 21, 22, 23, 24, 28, 34 | ||

9/18 | 8.1 | Areas and volumes |

3, 4, 7, 11, 12, 13, 14, 15, 16, 19 | ||

9/19 | 8.1 | Areas and volumes cont'd |

8.1 | 20, 24, 25, 26, 28 | |

8.2 | 4, 6, 19, 24, 33 | |

9/20 | 8.2 | Applications to geometry |

20, 22, 23, 25, 26, 27, 34, 35, 36 (Use TRAP) | ||

Exercises from 9/15 through 9/20 due on 9/22 | ||

9/22 | 8.2 | More applications to geometry |

11, 12, 14, 16, 17, 29, 31, 39, 40, 41 | ||

9/25 | 8.3 | Polar coordinates |

2, 3, 6, 7, 10, 13, 14, 18, 19, 35 | ||

9/26 | 8.3 | Area in polar coordinates |

12, 20, 21, 24, 25, 28, 29, 30 | ||

9/27 | 8.3 | Arc length and slope in polar coordinates |

Sketch r=θ for 0 ≥ &theta &ge -3&pi | ||

Sketch r=sin(θ/4) for 0 ≤ &theta &le 4&pi | ||

31, 33 (will need to use solve feature on calculator), Sketch of 34's curve, 34, 36, 37, 38 | ||

Exercises from 9/22 through 9/27 due on 9/29 | ||

9/29 | 8.4 | Density |

1, 2, 3, 5, 6, 9, 10, 12, 13, 14 | ||

10/2 | Review | |

10/3 | Exam 2 | |

10/4 | 8.5 | Applications: Work |

1, 2, 3, 4, 5, 6, 7, 8 | ||

Exercises from 9/29 through 10/4 due on 10/6 | ||

10/6 | 8.6 | More applications: Income Stream |

1, 2, 6, 7, 8, 9, 10, 11, 12 | ||

10/9 | 9.1 | Sequences |

11, 12, 16, 17, 24, 26, 28, 43, 48, 49, 54 | ||

10/10 | 9.2 | Geometric series |

2, 3, 7, 10, 15, 17, 18, 20, 21, 30 | ||

10/11 | 9.2; 9.3 | Geometric series and convergence of series |

9.2 | 25, 26, 31, 32 | |

9.3 | 2, 3, 8, 13, 18, 19 | |

Exercises from 10/6 through 10/11 due on 10/13 | ||

10/13 | 9.3 | Convergence of series |

16, 17, 20, 22, 24, 28, 30 and these three problems | ||

10/16 | Fall recess | |

10/17 | Fall recess | |

10/18 | 9.4 | Tests for convergence |

3, 4, 5, 6, 9, 24, 25, 26, 28, 29, 30, 33 | ||

Exercises from 10/13 through 10/18 due on 10/20 | ||

10/20 | 9.4 | Tests for convergence cont'd |

11, 12, 13, 14, 15, 34, 35, 42, 44, 48 | ||

10/23 | 9.4 | Tests for convergence cont'd |

19, 20, 23, 38, 46, 47, 54, 56, 59, 60 | ||

10/24 | 9.4 | Tests for convergence cont'd |

41, 43, 45, 49, 50, 51, 52, 53, 58, 62 | ||

10/25 | 9.5 | Power series and intervals of convergence |

2, 3, 8, 11, 12, 13, 16, 17, 24, 27 | ||

Exercises from 10/20 through 10/25 due on 10/27 | ||

10/27 | 9.5 | More power series |

22, 23, 25, 26, 28, 30, 31, 32, 35 | ||

10/30 | Review | |

10/31 | Exam 3 | |

11/1 | 10.1 | Taylor polynomials |

1, 5, 6, 13, 18, 19, 23, 24, 26, 33 | ||

Exercises from 10/27 through 11/1 due on 11/3 | ||

11/3 | 10.2 | Taylor series |

7, 9, 10, 14, 19, 20, 23, 24, 26, 44 | ||

11/6 | 10.2 | Taylor series cont'd |

4, 25(10 points), 28, 29, 32, 35, 36, 37, 38 | ||

11/7 | 10.3 | Using series |

All without doing repeated differentiation: 2, 3, 6, 7, 11, 12, 14, 20, 22, 25 | ||

11/8 | 10.3 | Using series cont'd |

10, 18, 23, 26, 27, 32, 33, 35 | ||

Exercises from 11/3 through 11/8 due on 11/10 | ||

11/10 | 10.4 | Error |

2, 4, 6, 9, 10, 11, 13, 14, 15, 19 | ||

11/13 | 11.1 | Differential equations introduction |

1, 3, 4, 5, 6, 7, 9, 13, 14, 15(10 points) | ||

11/14 | 11.2 | Slope fields |

1, 2, 3, 4, 6, 8, 9, 10. You might want to print out this page | ||

11/15 | 11.3 | Euler's method |

1, 2 (10 points), 3 (10 points), 5, 6 (10 points), 7 | ||

Exercises from 11/10 through 11/15 due on 11/17 | ||

11/17 | 11.4 | Separation of variables |

15, 21, 24, 34, 36, 39, 40, 41, 44, 45 | ||

11/20 | Review | |

11/21 | Exam 4 | |

11/22 | Thanksgiving recess | |

11/24 | Thanksgiving recess | |

11/27 | 11.5 | Growth and decay |

1, 4, 10, 14, 15, 21, 22, 23 | ||

11/28 | 11.6 | Applications and modeling |

2, 7, 9, 14, 18, 20, 21, 24 | ||

11/29 | Appendix B | Complex numbers |

4, 6, 10, 12, 16, 17, 18, 26, 27, 39, 42 | ||

Exercises from 11/17 through 11/29 due on 12/1 | ||

12/1 | Appendix B | Complex numbers cont'd |

30, 32, 34, 35, 36, 40, 49 | ||

12/4 | TBD | TBD |

12/5 | Review |