Differential Equations ((3 Credit Hours))

Catalog description

This course is an introduction to methods of solving differential equations of the first order as well as applications of first order differential equations to physical problems. The methods for first-order differential equations include numerical techniques, separation of variables, substitution methods, exact equation techniques, and identification of integrating factors. Certain types of higher order equations will be studied. Linear independence and the Wronskian of higher order equations will be covered. Methods for solving homogeneous and nonhomogeneous equations of higher order include the method of undetermined coefficients, reduction of order, and variation of parameters. Laplace transforms and power series methods will also be studied, as well as some applications of second order equations. IAI Code: MTH 912. Typical offering schedule: fall