MAT211 — Differential Equations 3 Hours
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 including application problems. Linear independence and the Wronskian of higher order equations will be covered. Methods for solving second-order homogeneous and non-homogeneous equations include the methods of undetermined coefficients reduction of order and variation of parameters. Solving initial value problems using LaPlace transforms. At least one of the following topics will be covered in depth power series methods partial differential equations and Fourier series systems of linear differential equations further numerical methods and non-cursory treatment of other advanced topics. Prerequisite: Grade of C or better in MAT 204, Calculus and Analytic Geometry II Semester Hour(s): 3 hour(s) Lecture / Lab Hours: 3 lec/week Illinois Articulation Initiative (IAI): MTH 912