Honors Differential Equations

Department: 
MATH
Course Number: 
2562
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
2
Hours - Total Credit: 
4
Typical Scheduling: 
Every Fall Semester

The topics covered parallel those of MATH 2552 with a somewhat more intensive and rigorous treatment.

Prerequisites: 

Grade at least B in the following:

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))

Course Text: 

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

Topic Outline: 
Topic Text Sections Lectures
Introduction and Euler's method 1.1-1.4 2
First Order Differential equations; Systems of two first order equations 2.1-2.8; 3.1-3.7 7+7
Second order linear equations; Systems of first order equations; Nonlinear Differential Equations and Stability 4.1-4.8; 6.1-6.7; 7.1-7.6 8+7+6
Laplace Transform Methods 5.1-5.9 8