Walden - Current Students - NTU - Course Desc

Inside.Waldenu.Edu>Degree Program Resources>Current Students - NTU - Fall 2005 Course Sched - Page>Current Students - NTU - Course Desc - NMTH 6201
Inside.Waldenu.Edu Inside.Waldenu.Edu 2007-2008 Academic Calendar Academic Calendar Bookstore Catalog Commencement Degree Program Resources Disability Services eMall at WaldenU Faculty Governance Financial Aid Financial Services Forms KAMs Library Office of the Provost Registrar Research Center Residencies Student Organizations Student Support & Customer Service Writing Center Veteran's/Military Benefits	NMTH-6201 Ordinary Differential Equations (MA 584) Contributing Scholar - Laurene V. Fausett, Georgia Southern University 3 Semester Credit Hours Course Description A study of the applications, methods of solution, and basic theory of ordinary differential equations(ODE). Classification of differential equations (order, linearity, etc.). Solution of linear, exact, separable, and homogenous first-order ODE. Numerical methods for solving ODE. Solution of second-order and higher-order linear ODE with constant coefficients. Series solutions of linear ODE with variable coefficients. Laplace transform methods. Solution of systems of linear ODE. Qualitative analysis of nonlinear ODE. Prerequisites One year of college-level calculus Objectives To describe a variety of basic methods for solving ordinary differential equations To demonstrate the usefulness of differential equations through applied problems To increase problem-solving skills and appreciation of the theory underlying the techniques used To provide an introduction to linear systems of linear differential equations, meaning of eigenvalues and eigenvectors within the context of systems of linear differential equations, and information derived through linearization of nonlinear systems Course Topics The following topics will be covered in the order given. Introduction to differential equations First-order ODE Numerical methods Second-order ODE Second-order ODE, continued Further topics Systems of linear first-order ODE Systems of non-linear ODE Linear ODE with variable coefficients, series solutions Series solutions at singular points Laplace transforms Laplace transforms, continued Using laplace transforms Technical Requirements Students must have access to Matlab or Mathematica in order to take this course. In addition, you will be required to have Windows Media Player to view the lectures. For the standard technical requirements, please go to the link below: http://www.waldenu.edu/c/Files/DocsGeneral/Getting_Started_Guide.pdf Textbook Required: Edwards, C. & Penney, D. (2004). Elementary Differential Equations with Boundary Value Problems, 5th ed. Prentice Hall. Optional: Edwards, C. & Penney, D. (2004). Solutions Manual for Elementary Differential Equations with Boundary Value Problems, 5th ed. Prentice Hall. *Disclaimer:* The course syllabus may differ slightly from this course. Descriptions will be provided in your online course. Textbook informtion is provided only to give more information about the course. Do Not use this information to purchase a textbook. Up-to-date information will be provided when you register.

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