## Practice Problem Set

1st practice problem set (revised) (due 2/14/19) SOLUTION

## Text Book

We use the textbook “A First Course in Differential Equations with Modeling Applications(11E)” by Dennis G. Zill.

Purchasing detail see Math 2410Q Book Options.pdf.

## Course Common Page

## Syllabus

Syllabus section 009

Syllabus section 017

(They are the same other than section number, time and location.)

## Office Hour

Mon: 7:30-9:00 pm/ Wed: 10:00-11:00 am/ Thu: 10:00-11:00 am @ Mont422

## Tentative Schedule

W1 | 1/22: 1.1+1.2 | Definition and Terminology, Initial-Value Problems |

1/24: 1.2+1.3 | Differential Equations as Mathematical Models | |

W2 | 1/29: 2.1 | Solution Curves Without a Solution: 1) Direction Fields; 2) Autonomous First-Order DEs |

1/31: 2.2 | Separable Equations | |

W3 | 2/5: 2.3 | Linear Equations |

2/7: 2.4 | Exact Equations | |

W4 | 2/12: 2.5 | Solutions by Substitutions |

2/14: 2.5+2.6 | Solutions by Substitutions + A Numerical Method | |

W5 | 2/19: 3.1 | Linear Models |

2/21: 3.2 | Nonlinear Models | |

W6 | 2/26: 3.3 | Modeling with System of First-Order DEs |

2/28: 4.1 | Linear Equations: IVP and BVP; Homogeneous Equations; Nonhomogeneous Equations | |

W7 | 3/5: 4.3 | Homogeneous Linear Equations with Constant Coefficients |

3/7 | Review | |

W8 | 3/12 | Midterm: covers 1.1-1.3, 2.1-2.6, 3.1-3.3, 4.1, 4.3 |

3/14: 4.4 | Undetermined Coefficients – Superposition Approach | |

W9 | Spring Break | |

W10 | 3/26: 4.6 | Variation of Parameters |

3/28: 5.1 | IVP in Linear Models: Free Damped/Undamped Motion; Driven Motion; Series Circuit Analogue | |

W11 | 4/2: 7.1 | Definition of the Laplace Transform |

4/4: 7.2 | Inverse Transforms and Transforms of Derivatives | |

W12 | 4/69: 7.3 | Operational Properties I: Translation on the s/t – axis |

4/11: 7.4 | Operational Properties II: Derivatives of a Transform; Transform of Integrals and Periodic Functions | |

W13 | 4/16: B.1+B.2 | Basic Definitions and Theory of Matrices; Gaussian Elimination |

4/18: B.2+B.3 | Gaussian Elimination; The Eigenvalue Problem | |

W14 | 4/23: 8.1 | Preliminary Theory – Linear System |

4/25: 8.2 | Homogeneous Linear System: Distinct Real Eigenvalues; Repeated Eigenvalues | |

W15 | 4/30: 8.2 | Homogeneous Linear System: Complex Eigenvalues + Review |

5/2 | Review | |

W16 | Final Exam: cumulative |

## Course Content

We will cover the following sections in the text book.

- Chapter 1: §1.1-§1.3;
- Chapter 2: §2.1-§2.6;
- Chapter 3: §3.1-§3.3;
- Chapter 4: §4.1, §4.3, §4.4, §4.6;
- Chapter 5: §5.1;
- Chapter 7: §7.1-§7.4;
- Chapter 8: §8.1, §8.2;
- Appendix B: §B.1-§B.3.