Math 246 Lecture Notes, Spring 2009

As they become available, you may download class notes here. They are pdf files, which can be viewed with a pdf viewer.

Some material covered by the First In-Class Exam

• First Order Equations I: Classification and Linear

• First Order Equations II: Autonomous Case

• Numerical Methods

• Exact Differential Forms and Integrating Factors

All material covered by the Second In-Class Exam

• Higher Order Linear Equations I: Introduction and Homogenous Case

• Higher Order Linear Equations II: Constant Coefficient Nonhomogenous Case and Vibrations

• Higher Order Linear Equations III: Laplace Transform Method

• Higher Order Linear Equations IV: Variable Coefficient Nonhomogenous Case

Some material covered by the Third In-Class Exam

• Matrix Exponentials

• Eigen Methods

• Phase-Plane Portraits for Linear Systems