|Introduction to Ordinary Differential Equations|
|INTRO TO ODES|
|CLASS CODE:||MATH 371||CREDITS: 3|
|DIVISION:||PHYSICAL SCIENCE & ENGINEERING|
|GENERAL EDUCATION:||This course does not fulfill a General Education requirement.|
|DESCRIPTION:||Methods and theory of ordinary differential equations with applications. Differential operators, systems of linear ODEs, Laplace transforms and series methods. Math 371 and Math 316 cannot both be taken for credit.|
|CONTENT AND TOPICS:||First order differential equations; mathematical models & numerical methods involving first order equations; linear second order equations; applications & numerical methods for second order equations; higher order linear differential equations; LaPlace transforms; series solution of differential equations; systems of differential equations and their applications; matrix methods for linear systems.|
|GOALS AND OBJECTIVES:||1. Classify ordinary differential equations.
2. Solve homogeneous and nonhomogeneous linear first order equations.
3. Analyze and solve nonhomogeneous and homogeneous linear higher order differential equations.
4. Utilize matrix methods for solving systems of linear constant coefficient ODE's.
5. Learn to solve ODE's using Laplace transforms.
6. Gain facility to use power series methods to solve variable coefficient ODE's.
7. Analyze application problems involving 1st and 2nd order linear ODE's.
|REQUIREMENTS:||Attendance in class, a copy of the text, and a graphing calculator are required. Students will be given written examinations, homework exercises, and group projects.|
|PREREQUISITES:||Math 214 and Math 341.|
|EFFECTIVE DATE:||August 2002|