- The final is in Harriman Hall 137, where lecture is.

- The midterm will be in class on October 11.
- My office hours this term are Mondays 1-2pm and Fridays 3-4pm in the math tower, office 2-116. I will also be available in the MLC (S-235) on Wednesdays 1:30-2:30pm.

The following is a tentative schedule for the course. As homework is assigned it will be posted here. You are encouraged to work with others, but please make sure to write up solutions in your own words (this will help you on the exams and quizzes!).

Unless stated otherwise, the homework is from the corresponding section of the book.

All of the problems assigned in week n are due to your TA (at the start of recitation) in week n+1.

Week | Date | Topic(s) Covered | Reading | Homework |
---|---|---|---|---|

1 | 8/28 | What's a differential equation, and why? | Chapter 1.1 | 2, 3, 13, 27, 29, 34 |

8/30 | Integrals as solutions, initial value problems | 1.2 | 1, 2, 4, 12, 18, 31 | |

9/1 | Separable equations | 1.4 | 3, 8, 11, 22 | |

2 | 9/4 | Labor Day | None | None |

9/6 | Slope fields | 1.3 | [1, 8 do but don't turn in], 11, 13, 14, 27 | |

9/8 | Linear first order equations | 1.5 | 1, 3, 16, 20, 29, 33 | |

3 Quiz Week |
9/11 | Change of variables | 1.6 | 7, 12, 29, 57, 58 |

9/13 | More substitutions | 1.6 | 20, 24, 43, 45, 48, 53 | |

9/15 | Population models | 2.1 | 9, 10, 12, 31 | |

4 | 9/18 | Logistic Model of populations | 2.1 | 1, 21 |

9/20 | Equilibrium Solutions | 2.2 | 1, 3, 14, 19 | |

9/22 | Second Order Linear Equations | 3.1 | 1, 9, 13, 15 | |

5 Quiz Week |
9/25 | Superposition principle, existence and uniqueness of solutions | 3.1 | 17, 19, 29 |

9/27 | Solving constant coefficient 2nd order homogeneous equations. Linear independence | 3.1 | 33, 37, 51, 52 | |

9/29 | The Wronskian | 3.1 | 21, 24, 26 | |

6 | 10/2 | Inhomogeneous equations Higher order linear equations | 3.1 3.2 | 3.1 - 27 3.2 - 13, 17, 20, 21, 23, 25 |

10/4 | Variation of parameters | 3.5 | 3, 4, 13, 20, 30, 32 | |

10/6 | Homogeneous constant coefficient equations | 3.3 | 3, 5, 12, 21, 27 | |

7 | 10/9 | Return to higher order equations | 3.2 | None |

10/11 | Midterm | . | Review | |

10/13 | Resonance phenomena | 3.6 | None | |

8 | 10/16 | Systems of differential equations | 4.1 | 1, 3, 5, 17 , 18, 24, 30 |

10/18 | The method of elimination | 4.2 | 1, 4, 7, 13, 39 | |

10/20 | Linear Algebra | 5.1 | Read 5.1 and do problems 1, 3, 4, 6 | |

9 Quiz Week |
10/23 | More Linear Algebra | 5.1 | 10, 11, 12, 13 |

10/25 | Linear algebra for systems of equations | 5.1 | 14, 19, 20 | |

10/27 | Continued | 5.1 | 23, 24, 32, 33, 42 | |

10 | 10/30 | Eigenvectors and solutions of homogeneous systems | 5.2 | 1, 2, 5, 9 |

11/1 | Eigenvectors and solutions of homogeneous systems | 5.2 | 17, use wolfram alpha to do 42, 45 | |

11/3 | Solution Curves to linear systems | 5.3 | 1, 2, 9, 11 | |

11 Quiz Week |
11/6 | Generalized Eigenvectors | 5.5 | 1, 3, 7, 13 |

11/8 | Generalized Eigenvectors | 5.5 | 20, 25, 33 | |

11/10 | Matrix Exponentials | 5.6 | 1, 3, 21, 23, 25, 27 | |

12 | 11/13 | Computing Matrix Exponentials | 5.6 | 7, 9, 12, 17, 29, 32 |

11/15 | Nonlinear Systems of Equations | 6.1 | 1, 4, 6, 13, 14 | |

11/17 | Nonlinear Systems of Equations | 6.1 | 17, 18, 28, 29 | |

13 | 11/20 | Linear Algebra Review | . | Here |

11/22 | Thanksgiving Break | None | None | |

11/24 | Thanksgiving Break | None | None | |

14 Quiz Week |
11/27 | Almost Linear Systems | 6.2 | 1, 3, 7, 19, 21 |

11/29 | Jacobians, the space of 2x2 linear equations | 6.2 | 11, 14, 33, 34 | |

12/1 | Ecological Models | 6.3 | 1, 2, 3, 11, 12, 13 | |

15 | 12/4 | Ecological Models | 6.3 | 14, 15, 16, 17 |

12/6 | The non-linear pendulum | 6.4 | 9, 10, 11, 14, 15 | |

12/8 | Review | . | Review Sheet Solutions |