MATH 525 - Ordinary Differential Equations

3 Credits

Prerequisite(s): MATH 500 The theory of differential equations is one of the basic tools of mathematical science. The purpose of this course is to study the fundamental concepts of the theory of differential equations, such as: existence, uniqueness, and continuous dependence of solutions on data; linear equations; stability theory and its applications; and periodic and oscillatory solutions. This theory makes it possible to study all evolutionary processes that possess the properties of determinacy, finite-dimensionality, and differentiability. Upon successful completion of this course, the student will have the theoretical understanding and practical knowledge of ordinary differential equations.