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 1502 OR MATH 1512 OR MATH 1555 OR MATH 1504 ((MATH 1552 OR MATH 15X2 OR MATH 1X52) AND (MATH 1522 OR MATH 1553 OR MATH 1554 OR MATH 1564 OR MATH 1X53))

Equivalent to MATH 2403.

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