Math 242, Differential Equations

Office: Building 25 Rm 329, telephone: ext. 6-1684
Web site: http://www.calpoly.edu/~dhartig/Pages/242/242.html

Course Objectives

1. Develop an understanding of the elementary theory of ordinary differential equations and their solutions in the context of separable and first order linear ordinary differential equations.
2. Recognize situations where these equations arise in selected mathematical models.
3. Learn the terminology and methods of solution of higher order linear differential equations, especially methods for constant coefficient homogeneous and forced equations.
4. Develop an understanding of how vectors and matrices are used to solve systems of differential equations.
5. Study equilibria in nonlinear systems and how linear approximations are used to understand their behavior.

Texts

Henry Ricardo, A Modern Introduction to Differential Equations, 2nd Edition, Elsevier Academic Press, 2009

Coverage

1. Chapter 1. Introduction to Differential Equations
2. Chapter 2. First Order Differential Equations
3. Chapter 3. The Numerical Approximation of Solutions
4. Chapter 4. Second- and Higher-Order Linear Equations
5. Chapter 5. Systems of Linear Differential Equations
6. Chapter 7. Systems of Nonlinear Differential Equations

Homework, Quizzes, Exams, etc.

• Homework will be assigned and tested on homework quizzes and group work.
• There will two midterms and a final exam. The Final Exam is scheduled for Monday, March 18, 1 - 4 PM.

Grades

Office Hours (subject to change)

Files for viewing and/or downloading