Homework 10% Exam #1 25% Monday, February 27, (Entire class period) Exam #2 25% Monday, April 10, (Entire class period) Final Exam 40% Tuesday, May 9, 8-11 am. Grade cutoffs:

A | B | C | D | F |

90-100 | 80-90 | 70-80 | 60-70 | < 60 |

Lectures | Dates | Text | Topics | Homework Problems | HW due |

1 | W 1/18 | 1.1-1.3 | Introduction | Sect 1.1: # 15-20, Sect 1.3: # 1-6, 14, 15, 16. Sect 2.1: # 13, 15, 16. | HW 1 1/23 |

2 | F 1/20 | 2.1 | First order linear eqs. | ||

3 | M 1/23 | 2.2 | Separable eqs. | Sect. 2.2: 7, 8, 15. Sect 2.6: # 6, 7, 10, 16, 25. Sect. 2.4: # 4, 11, 27. | HW 2 1/30 |

4 | W 1/25 | 2.6 | Integrating factors and exact eqs. | ||

5 | F 1/27 | 2.4 | Difference between linear and nonlinear eqs. | ||

6 | M 1/30 | 2.3 | Modeling with 1st order equations | Sect. 2.3: 2, 8, 16. Sect. 2.5: 2, 9, 12, 26. | HW 3 2/6 |

7 | W 2/1 | 2.3 | Modeling with 1st order equations | ||

8 | F 2/3 | 2.5 | Autonomous equations and population dynamics | ||

9 | M 2/6 | 2.8 | The Picard existence and uniqueness theorem | Review Sequences/Series convergence for Class on 2/8. Sect. 2.8: 2, 13, 14, 15, 17. |
HW 4 2/13 |

10 | W 2/8 | 2.8 | The Picard existence and uniqueness theorem | ||

11 | F 2/10 | 2.8 | The Picard existence and uniqueness theorem | ||

12 | M 2/13 | 3.1 | n-th order linear ODEs, Examples. | Sect. 3.1: 16, 17, 23. Sect. 3.2: 5, 16, 20, 21. | HW 5 2/20 |

13 | W 2/15 | 3.1 | n-th order linear ODEs, Existence-Uniqueness. | ||

14 | F 2/17 | 3.2, 4.2 | n-th order linear ODEs, Wronskian, Linear Independence. | ||

15 | M 2/20 | 3.2, 4.1 | n-th order linear ODEs | Optional (do NOT submit this HWK) problems to prepare for Exam 1: Sect 2.1: 1-20, 34-37. Sect. 2.2: 1-28. Sect. 2.4: 1-16. Sect. 2.6: 1-12. Sect. 2.8: 1-3, 13-14, 15-19. Sect. 3.1: 1-18, 25. Sect. 3.2: 1-6, 7-12, 16-20, 24-27, 38-40. Sect. 4.1: 1-6, 7-10, 11-16, 17, 21, 24, 25. |
HWK for Exam 1 |

16 | W 2/22 | 3.2, 2.9 | n-th order linear ODEs, special cases | ||

17 | F 2/24 | 3.5,4.3 | n-th order linear ODEs | ||

Exam 1 | M 2/27 | --- | Exam | Sect. 3.3: 20, 22. Sect 3.4: 14, 16. Sect. 4.2: 13, 15. | HW 6 3/6 |

18 | W 3/1 | 3.3-3.4, 4.1-4.2 | n-th order linear ODEs. Homogeneous eqs. with constant coefficients. | ||

19 | F 3/3 | 3.3-3.4, 4.1-4.2 | n-th order linear ODEs. Homogeneous eqs. with constant coefficients. | ||

20 | M 3/6 | 3.5, 3.6, 4.3, 4.4 | Undetermined coeff. Variation of parameters for nth order linear ODEs. | Sect. 3.4: 27. Sect. 3.5: 8, 10, 35, 36. Sect. 3.6 : 2, 13. | HW 7 3/20 |

21 | W 3/8 | 3.5, 3.6, 4.3, 4.4 | Undetermined coeff. Variation of parameters for nth order linear ODEs. | ||

22 | F 3/10 | 3.7, 3.8 | Applications. Mechanical vibrations. | ||

23 | M 3/20 | 3.7, 3.8 | Mechanical vibraions | Sect. 3.7: 3, 7. Sect. 3.8: 9, 15. Sect. 5.1: 7, 8, 16. | HW 8 3/27 |

24 | W 3/22 | 5.1 | Review of power series | ||

25 | F 3/24 | 5.2, 5.3 | Series solutions near an ordinary point | ||

26 | M 3/27 | 5.2, 5.3 | Series solutions near an ordinary point | Sect. 5.2: 2, 20. Sect. 5.3: 8. 5Sect. 5.4: 6, 25. | HW 9 4/03 |

27 | W 3/29 | 5.4 | Regular singularities. Euler equations. | ||

28 | F 3/31 | 7.1, 7.2. | Linear systems. Modeling. Review of Matrices. |