Course Overview

Objective:
This course introduces the practical and theoretical aspects of ordinary differential
equations. In particular, students will
- Understand the quantitative and qualitative meanings of differential equations and their solutions, especially in applied examples
- Learn standard techniques for finding analytic solutions
- Estimate solutions and evaluate their qualitative nature even when an exact analytic solution is unavailable
- Develop the theory of differential equations, including first order systems and their relationship to equations of arbitrary order

Prerequisite: Math 112.

Text: *A First Course in Differential Equations*, 9th Edition, Dennis G. Zill, ISBN-10: 0495108243 or ISBN-13: 9780495108245
Electronic edition

"Authors of books live with the hope that someone actually reads them." (Preface)

Zill's suggestions:

- Read the book with a pencil and paper
- Work all the examples before trying the homework, covering the solutions and filling in missing steps

- How to learn mathematics
- Basic algebra and trigonometry
- How to differentiate anything
- How to integrate reasonably straightforward functions
- How to use tables to integrate more challenging functions

Homework: I will assign homework each class to be submitted at the next class. It will be important to work with the ideas of the current section before the next class.

Help: I am happy to answer emails and/or see you any time I am in my office. The TA for the course is Yao Yao. Her hours are posted on aurora and outside the Math Clinic (Mac 120). I also encourage you to work together, but make sure that you understand the work you submit.

Grading:

Homework | 20% | |

Exam 1 (2/23) | 20% | |

Exam 2 (4/3) | 20% | |

Exam 3 (5/1) | 20% | |

Final Exam (5/13, 9 AM) | 20% |