program self-study report - Lamar University Electrical Engineering

MATH 3301 – Ordinary Differential EquationsSpring 2006 Semester(Required)Catalog Data 2006-2008:Textbook:Coordinator:Course Objective:MATH 3301: First order equations: modeling and population dynamics,stability, existence and uniqueness theorem for nonlinear equations, Euler’smethod. Second order equations: nonlinear equations via reductionsmethods, variation of parameters, forced mechanical vibrations, resonanceand beat. Laplace Transform: general forcing functions, the convolutionintegral. Systems of ODE’s: eigenvalues and phase plane analysis.Prerequisite: Grade of C or better in MATH 2414.Elementary Differential Equations, Boyes & DiPrima, 8 th ed.Dr. Paul DawkinsLearn 1st and 2 nd order differential equation solution techniques,Laplace Transforms and systems of differential equations.Prerequisites by Topic: “C” or better in Math 2414Topics:1. Basic Models/Direction Fields2. Classification of Differential Equations3. Linear Equation4. Separable Equations5. Linear & Nonlinear Equations6. Modeling w/Linear Equations7. Pop. Dynamics/ Equilibrium Point8. Euler’s Method9. Homogeneous Equations10. Complex Roots11. Repeated Roots; Reduction12. Linear Homogeneous Equations13. Lin. Independence & Wronskian14. Undetermined Coefficients15. Variations of Parameters16. Mech. & Electrical Vibrations17. Forced Mech. Vibrations18. Def. Laplace Transform19. Step Functions20. Initial Value Problems21. Dif. Equations w/Forcing Functions22. Impulse Functions23. The Convolution Integral24. Systems of Differential Equations25. Eigenvalues and EigenvectorsEE Program Self-Study Report-2006 103