## Mathematics 212## Differential Equations |

- demonstrate the ability to characterize, analyze and solve mathematical exercises in differential equations with a style and precision appropriate to the second-year level of university;
- begin the transition from viewing mathematics as a largely computational activity to interacting with its logical structure of definitions and proofs and relating geometric, numerical, and analytic points of view;
- demonstrate a certain level of expertise in the application of a computer algebra system to mathematical modeling and problem-solving in differential equations;
- appreciate the pervasive influence and contributions of differential equations to the natural and social sciences.

The links (pdf) are to files which were generated from Excel spreadsheets. They can be displayed by your web browser or by an application such as Adobe Acrobat.

- There are extensive supporting materials for these texts online at Selwyn Hollis's web site Online Mathematica Companion for Differential Equations.
- MIT OpenCourseWare hosts streaming video lectures and other materials supporting the MIT course 18.03 Differential Equations, Spring 2004 by Haynes Miller and Arthur Mattuck, and the companion course 18.034 Honors Differential Equations, Spring 2004 by Jason Starr.
- An imaginative and challenging set of interactive differential equations projects is offered online by IDEA, Internet Differential Equations Activities.

- Chapter 1: Introduction
- Chapter 2: Linear First-Order Equations
- Chapter 3: Nonlinear First-Order Equations I
- Chapter 4: Nonlinear First-Order Equations II
- Chapter 5: Second-Order Linear Equations I
- Chapter 6: Second-Order Linear Equations II
- Chapter 7: The Laplace Transform

Sewanee's tradition of cordial and constructive student-faculty relationships is one of its great strengths, and I am very happy to support that tradition. If you would like to talk with me, please make an appointment, either when you see me in class or in the hallways or in my office (WL120), or by email (cparrish@sewanee.edu), or by voice mail message (x1333).

Homework is due on Thursdays!

- 3 review examinations 60 %
- homework, labs, quizzes 20 %
- final examination 20 %