## Syllabus Fall 2019

## Lecture Notes Fall 2019(not comprehensive, updating)

## Textbook Information

- “A First Course in Differential Equations with Modeling Applications(11E)” by Dennis G. Zill. Purchasing detail see Math 2410Q Book Options.pdf.
**WebAssign access is NOT required.**

## Supplementary Materials

- Algebra Review (common algebra facts in Math 2410Q)
- Advance Problems to think about

## Practices

Week 1 ———– Solution

Week 2 ———– Solution

Week 3 ———– Solution

Week 4 Practice———–Solution

Week 5 Practice———–Solution

Week 6 practice———–Solution

Week 7 Practice———–Solution

Week 8 Practice———–Solution

Week 9 Practice———–Solution

Week 10 practice———–solution

## Tentative Schedule

Actual schedule subject to change, please check HuskyCT for up to date information.

W1 | 8/26: 1.1 (1) | Intro (1): Definitions and Terminology |

8/28: 1.1(2)+1.2 | Intro (2), Initial-Value Problems | |

8/30: 1.4 | Newton’s Law, Practice | |

W2 | 9/2: 🙂 | Labor Day |

9/4: 2.1(1) | Solution Curve, Direction Field, Phase Portrait | |

9/6: 2.2 | Separable Equation, Practice | |

W3 | 9/9: 2.1(2) | Quiz, Autonomous Equation |

9/11: 2.4(1)+2.3(1) | Exact Equation, Linear Equation(formula) | |

9/13: | Practice | |

W4 | 9/16: 2.3(2) | Quiz, Linear Equation(theory) |

9/18: 2.4(2)+2.5(1) | Make Nonexact DE Exact, Bernoulli DE | |

9/20: 2.5(2) | Homogeneous Equation, Reduction to Separation of Variables, Practice | |

W5 | 9/23: 2.6+9.1 | Quiz, Euler’s Method, Error Analysis |

9/25: 7.1 | Definition of Laplace Transform, Review | |

9/27: 🙂 | EXAM 1 | |

W6 | 9/30: 7.2 | Inverse Transforms and Transforms of Derivatives |

10/2: 7.2*+7.3(1) | Partial Fraction Decomposition, Translation on the s-Axis | |

10/4: 7.3(2) | Translation on the t-Axis, Practice | |

W7 | 10/7: 7.4(1) | Quiz, Derivative of a Transform |

10/9: 7.4(2)+7.6 | Transform of Integrals and Periodic Functions, System of DEs | |

10/11: | Practice | |

W8 | 10/14: 3.1 | Quiz, Linear Models |

10/16: 3.2 | Nonlinear Models | |

10/18: 3.3 | Modeling with System, Practice | |

W9 | 10/21: 4.1(1) | Quiz, Preliminary Theory of Higher Order Linear Equations |

10/23: 4.1(1)+4.3(1) | Pre. Theo. of Higher Order Linear Eq’s, Complex Number Overview | |

10/25 | Review | |

W10 | 10/28: 🙂 | EXAM 2 |

10/30: 4.3(2) | Homogeneous Linear Equation with Constant Coefficients | |

11/1: 4.2 | Reduction of Order, Practice | |

W11 | 11/4: 4.6(1) | Quiz, Variation of Parameter(formula) |

11/6: 4.4 | Undetermined Coefficients – Superposition Approach | |

11/8: 4.6(2) | Variation of Parameters(theory), Practice | |

W12 | 11/11: 4.7 | Quiz, Cauchy-Euler Equations |

11/13: ch5+8.1(1) | Boundary Value Problem, Preliminary Theory of Linear System(1) | |

11/15: 8.1(2) | Preliminary Theory of Linear System(2), Practice | |

W13 | 11/18: B | Quiz, Matrices |

11/20: 8.2(1) | Homogeneous Linear System (1) | |

11/22: 8.2(2) | Homogeneous Linear System (2) | |

W14 | 🙂 | Thanksgiving Recess |

W15 | 12/2: 8.2(3) | Homogeneous Linear System(3) |

12/4 | Quiz, Review | |

12/6 | Review | |

W16 | Final Exam: Cumulative |