This course covers basic concepts, ordinary differential equations of first order, higher order linear equations, variation of parameters, undetermined coefficients, systems of equations, series solutions, and Laplace transform methods.
Prerequisites
MAT 231 with a grade of “C” or higher and reading proficiency as established by District Policy.
Student Learning Outcomes
- Define and classify ordinary differential equations.
- Apply the fundamental existence and uniqueness theorem for solutions of ordinary differential equations and initial value problems.
- Differentiate boundary value problems from initial value problems and determine their solutions using the boundary conditions.
- Use direction fields and the method of isoclines to study possible solutions.
- Use the differential operator to write differential equations in compact form.
- Solve exact equations by different methods.
- Solve first order linear differential equations.
- Solve selected linear equations of order higher than first.
- Solve problems in forced, damped, simple, harmonic motion, radiation decay, population growth, and Newton’s Law of Cooling.
- Define and compute Laplace transforms.
- Use Laplace transforms techniques to solve initial value problems with ordinary differential equations.
- Use MatLab to solve ordinary differential equations.