This course is an introduction to methods of solving differential equations as well as applications of differential equations to physical problems. The methods for solving first-order differential equations include numerical techniques, separation of variables, substitution methods, exact equation techniques, and identification of integrating factors. Also, some types of higher order equations will be explored. Linear independence and the Wronskian of higher order equations will be covered. Methods for solving second-order homogeneous and non-homogeneous equations include the method of undetermined coefficients, reduction of order, and variation of parameters. LaPlace transforms and power series methods will also be studied, as well as some applications of second order equations.

Prerequisite: MAT 204 with a grade of C or higher.

3 Semester hour(s)

IAI: MTH 912

3 lec/week