Differential Equations I
MATH 241 is a standard first course in differential equations. Content includes: linear first order equations; separable equations; growth and decay problems; linear second order equations; variations of parameters; undetermined coefficients; damped harmonic motion; electric circuits; series solution method; Laplace transforms; Dirac delta function; linear systems; eigenvalue-eigenvector solution method; non-homogeneous linear systems; and basic linear algebra needed for linear systems. Applications are taken from the natural and social sciences, and engineering. 5 lecture hours. Satisfies specified elective requirements for the AA degree.
Prerequisite: A grade of "C" or better in MATH& 163 or concurrent enrollment in MATH& 163.
- Solve 1st order ODEs and IVPs and applications of them
- Solve 2nd order linear ODEs and IVPs and applications of them
- Solve IVPs, systems of IVPs and applications using Laplace Transform