MATH 150: Intro. to ODEs
Course Topics
First Order Equations (Chapter 2)
Linear equations (2.1)
Separable equations (2.2)
Nonlinear equations (2.4)
Exact equations and integrating factors (2.6)
Numerical approximation: Euler's method (2.7)
Second Order Equations (Chapter 3)
Homogeneous Equations with constant coef. (3.1, 3.4 and 3.5)
Fundamental solutions of linear homogeneous equations (3.2)
Wronskian (3.3)
Nonhomogeneous equations; undetermined coef. (3.6)
Variation of parameters (3.7)
Laplace Transform (Chapter 6)
Laplace transform (6.1)
Initial value problems (6.2)
Step functions (6.3)
Impulse functions (6.4-6.5)
Convolution integral (6.6)
Boundary Value Problems (Chapter 11)
Linear homogeneous boundary value problems, eigenvalues and eigenfunctions
(11.1)
Series Solutions of Second Order Linear Equations (Chapter
5) *(The content to be covered in this chapter will depend on
students' background. It may be omitted if time is not allowed.)
Series solutions near an ordinary point (5.2-5.3)
Series solutions near an regular singular point (5.3-5.7)
Last Revised: 15
January 1997