WEEK

TOPICS

1

Introduction, Separable Equations 

2 Homogeneous Equations, Exact Equations

3

Integrating Factors, First Order Linear Equations

4 Bernoulli Equation

5

Second Order Homogeneous Equations, Reduction of Order

6 Nonhomogeneous Equations, Method of Undetermined Coefficients

7

Method of Variation of Parameters, Cauchy-Euler Equation

8 Laplace Transforms 

9

Laplace Transforms (continued)

10 Convolution, Unit Step Functions

11

Power Series

12 Fourier Series

13

Heat equation.

14  Review