MATH 341 DIFFERENTIAL EQUATIONS

Course Syllabus

1. First Order Differential Equations

a. Linear

1. Initial Value Problem

2. General Solution

b. Nonlinear

1. Separation of Variables

2. Exact Equations

3. Other Techniques

c. Numerical Solutions

d. Applications

2. Linear Equations of Order Two or Higher

a. Constant Coefficients

b. Homogeneous and Nonhomogeneous Solutions

c. Numerical Solutions

d. Applications

3. Additional Numerical Techniques

a. Single-step Procedures

b. Runge-Kutta Schemes

c. Predictor-Corrector Methods

4. Power Series Methods

a. Examples

b. General Results

c. Ordinary and Singular Points

d. Euler's Equation

e. Bessel's Equation

f. Applications

5. The LaPlace Transform

a. Definition, Examples, Properties

b. Convolution Theorem

c. Applications

Prerequisites: MATH 240

Click Here to return to courses offered.