MAT 205 - Differential Equations

IAI Number Major: MTH912
3 Credit Hour(s)
3 Lecture Hour(s)
0 Lab Hours(s)
Prerequisite(s): MAT 201 with a grade of C or higher
MAT 205 is an introduction to differential equations. Topics include standard solution techniques for first order linear, separable, exact, and/or homogeneous equations; standard solution techniques for homogeneous second and higher order equations with constant coefficients; linear independence of solutions; the Wronskian; the methods of reduction of order, undetermined coefficients and variation of parameters; Cauchy-Euler equations; the existence and uniqueness of solutions; the Laplace transform, transfer and impulse response functions. Further topics may be chosen from system and plane analysis, Newtonian mechanics, RLC circuit analysis, power series methods, numerical methods, stability of solutions, the heat equation and Fourier Series, or Bessel functions. MAT 205 is offered in the spring semester only.