MTH 212 — Differential Equations
Continues MTH 201 . Covers first order differential equations, including first order initial value problems, existence and uniqueness of solutions, direction fields, basic numerical methods, separable equations, homogeneous equations, exact equations, linear equations, Bernoulli’s equations, and applications. Covers second order and higher order differential equations, including higher order initial value problems, two-point boundary value problems, linear independence, the general solution of homogeneous and non-homogeneous linear equations, the method of undetermined coefficients, variation of parameters, Cauchy-Euler equations, and applications to physical systems. Covers solutions of initial value problems using Laplace transforms, including the definition and properties of the Laplace transform, inverse transforms, convolution, unit step functions, and applications. Also covers systems of differential equations solved using matrix methods, including eigenvalues and eigenvectors. IAI MTH 912 Prerequisite: MTH 201 with a grade of C or better.
Prerequisites: MTH 201