Thank you for visiting our site! You landed on this page because you entered a search term similar to this: solving second order non-homogeneous differential equations, here's the result:
Ordinary Differential Equations
625.404
Ronald Farris
Instructor Information
Instructor
E-mail: Ronald Farris
Ron Farris has been employed at the Applied Physics Laboratory since 1973 and is a member of the Principal Professional Staff. Mr. Farris received his a MS in Physics from the University of Illinois and is also a graduate of the Engineering Programs for Professionals.
443-778-5570 (Work)
Course Information
Course Description
This course provides an introduction to the theory, solution and application of ordinary differential equations. Topics discussed in the course include methods of solving first-order differential equations, existence and uniqueness theorems, second-order linear equations, power series solutions, higher-order linear equations, systems of equations, non-linear equations, Sturm-Liouville theory, and applications. The relationship between differential equations and linear algebra is emphasized in this course. An introduction to numerical solutions is also provided. Applications of differential equations in physics, engineering, biology and economics are presented.
Prerequisites
Two or more terms of calculus are required. Course in linear algebra would be helpful.
Course Goal
The goal of this course is to provide the student with an understanding of the solutions and applications of ordinary differential equations. The course serves as an introduction to both nonlinear differential equations and provides a prerequisite for futher study in those areas.
Course Objectives
Understand and solve first and second order linear homogeneous and non-homogeneous differential equations.
Solve second order equations using power series methods.
Solve separable boundary value problems.
Understand applications of ODE in physics, biology and economics.
When This Course is Typically Offered
This course is offered in Spring of each year at the Applied Physics Laboratory.
Syllabus
Topics Covered
Solving Linear homogeneous and non-homogeneous First Order ODE
Methods for solving Nonlinear 1st Order ODE
Systems of 1st order linear equations
Qualitative Methods for Nonlinear Differential Equations
Numerical Methods for solving differential equations
Solving homogeneous and non-homogeneous 2nd Order Linear ODE
Series Solution of 2nd order Linear ODE
Solving Boundary Value Problems of Seperable Partial Differential Equations
Student Assessment Criteria
Homework
25%
Midterm and Final Exams
75%
Computer and Technical Requirements
Although not required in the course, the use of Matlab is encouraged for solving linear systems and using numerical methods. WebCT is used to establish to a course website on which assignments, answer sheets, exam and grades are posted.
Textbooks
Textbook information for this course is available online through the appropriate bookstore website:
For courses offered at Montgomery Co. & DC, search the ProTech Books website at or call 301-972-4000.
For courses offered at all other locations and for online courses, search the Barnes & Noble Bookstore website at .
