Differential Equations

Department: 
MATH
Course Number: 
2552
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
2
Hours - Total Credit: 
4
Typical Scheduling: 
Every Semester

Methods for obtaining numerical and analytic solutions of elementary differential equations. Applications are also discussed with an emphasis on modeling.

Prerequisites: 

(MATH 1552 or MATH 1X52) and (MATH 1553 or MATH 1554 or MATH 1564 or MATH 1X53 or MATH 1X54)

Course Text: 

Differential Equations: An Introduction to Modern Methods & Applications, by James R. Brannan and William E. Boyce (Third edition); John Wiley and Sons, Inc.

Topic Outline: 
Topic Text Sections Lectures
Introduction, linear equations and First order differential equations 1.1-1.3, 2.1-2.7 7
Systems of first order equations 3.1-3.6, 6.1-6.7 13
Second order linear equations 4.1-4.7 7
The Laplace transform 5.1-5.9 9
Nonlinear Differential equations and stability 7.1-7.6 5
Numerical methods such as Euler's method 8.1 and 8.4 1