Differential Equations

MATH 215 Differential Equations. A first course in ordinary differential equations for mathematics majors, engineering students, and science majors. First and second order equations are used to model natural phenomena. The use of Laplace Transforms is studied, with appropriate applications. Systems of first order linear equations are introduced and used to study higher order equations. Nonlinear systems are discussed with their associated phase spaces and stability considerations. The course includes both analytical and numerical techniques.