Honors Differential Equations

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

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

Prerequisites: 

(Grade at least B in MATH 1552 or T in 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 (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