Course Description

• Ordinary differential equations with applications.
• Initial value problems and elementary boundary value problems.
• First order differential equations; linear, separable, homogeneous, and exact.
• Integrating factors.
• Second and higher order differential equations; homogeneous equations with constant coefficients, characteristics equations and their roots, homogeneous Euler type equations.
• Forms of the general solution.
• Non homogeneous equations; method of undetermined coefficients and method of variation of parameters.
• Series solutions about ordinary and singular points.
• Laplace transform methods for initial value problems.
• Second boundary value problems; eigen functions and eigen values.
• Systems of first order linear differential equations.
• Numerical methods; Taylor series expansions and Runge-Kutta methods.

Prerequisites

• "C-" or better in Math 112

Classes

3 semester hours