MATH 2410
Elementary
Differential Equations
Spring 2015
Office: Academic Building 114A
Phone: (860) 4059294
Office
Hours: MW 3:30
 4:30 pm. and by appointment
Open Door
Policy: You are welcome to drop by to discuss any aspect of the course,
anytime, on the days I am on campus Tuesday, Thursday, and Friday.
General
Information:
MATH 2410
covers material mainly from
chapters 14 of the textbook.
Class Meeting Times/Place:
Tuesday, Thursday 2:00p.m.  3:15 p.m. Classroom ACD 106.
Textbooks:
Required: Differential Equations, 4^{th} edition by Blachard, Devaney, and Hall
Homework
Policy:
Homework is
assigned every class and collected every Thursday. They are returned the
following Tuesday with remarks and graded. The total weight of the homework
grades is 50 point of the total 500 course points.
Exam Schedule:
Exam 1: Thursday, February 19, 2:00  3:15p.m., Room: ACD 106
Exam
2: Thursday, March 26, 2:00  3:15p.m.,
Room: ACD 106
Final Exam:
Tuesday, May 5, 2:00  4:00p.m.,
Room: ACD 106
Grading Policy:
Homework: 50, Exam 1: 100, Exam 2: 100, Final Exam: 150.
Links To Internet Resources:
Approximate schedule is below.
Weather Cancellation:
Media sites for Avery Point campus weather cancellation information.
Date 
Chapter 
Topic 
Homework 

Week 1 
Tu. 1/20 
1.1 
Modeling via
Differential Equations 
1.1 Exercises: 2,3,5,8,9,10 
Th. 1/22 
1.2 
Separation of Variables 
1.2 Exercises: 1,3,6,7,9,17,25,26,30 

Week 2 
Tu. 1/27 
1.3 
SNOW DAY 

14 
Th. 1/29 
1.3 
Slope Fields 
1.3 Exercises: 7,8,11,14,15,18 
Week 3 
Tu. 2/3 
1.4 
Numerical Methods: Euler’s Method .

1.4 Exercises: 5,6,12 
Th. 2/5 
1.5 
Existence and Uniqueness of Solutions 
1.5 Exercises: 1,4,9,11,14 

Week 4 
Tu. 2/10 
1.6 
Equilibria and the Phase Line. 
1.6 Exercises: 1,3,7,13,15,19,22,23,31,37 
Th. 2/12 
1.8 
Linear Equations 
1.8 Exercises: 1,3,7,8,9,11,15,19,23,27 

Week 5 
Tu. 2/17 
1.9 
Integrating
Factors for Linear Equations 
1.9 Exercises: 1,3,5,7,9,11,21,24 
Th. 2/19 
Review for Exam 1.
Practice exam 1 Solutions to Practice exam 1 

Week 6 
Tu. 2/24 
Exam 1 

Th. 2/26 
2.1 
Modeling via Systems 
2.1 Exercises: 9,10,15,16 

Week 7 
Tu. 3/3 
2.2 
The Geometry of Systems 
2.2 Exercises: 9,10,13,14,15,16 
Th. 3/5 
2.3, 2.4 
Linear and Special Systems 
2.3 Exercises: 1,4,6,7 2.4 Exercises: 1,7,8,9,12,13 

Week 8 
Tu. 3/10 
2.5, 2.6 
Euler’s method for Systems. Existence and Uniqueness 
2.5 Exercises: 1,2 
Th. 3/12 
3.1 
Property of Linear Systems 
3.1 Exercises: 7,8,14,17,18 

Week 9 
Tu. 3/17 
Spring recess. 

Th. 3/19 
Spring recess. 

Week 10 
Tu. 3/24 
Review for Exam 2. Practice exam 2
Solutions to Practice exam 2 

Th. 3/26 
Exam 2 

Week 11 
Tu. 3/31 
3.2 
StraightLine Solutions 
3.2 Exercises: 1,2,5,6,11,12 
Th. 4/2 
3.3 
Phase Portraits for Linear Systems with Real Eigenvalues 
3.3 Exercises: 9,10,17,18,19,21 

Week 12 
Tu. 4/7 
3.4 
Complex Eigenvalues 
3.4
Exercises:
1,9,10,13,15,16,23 
Th. 4/9 
3.5 
Repeated and Zero Eigenvalues 
3.5
Exercises:
1,2,5,6,9,11,15,17,18 

Week 13 
Tu. 4/14 
3.6 
SecondOrder Linear Equations 
3.6 Exercises: 1,2,4,5,8,9,32,33 
Th. 4/16 
4.1 
Forced Harmonic Oscillations 
4.1 Exercises: 1,2,5,10,11,20,21 

Week 14 
Tu. 4/21 
4.2 
Sinusoidal Forcing 
4.2 Exercises: 1,3,4,6,12,13,22 
Th. 4/23 
6.1 
Laplace Transforms 
6.1 Exercises: 1,4,6,8,10,14,15,17 

Week 15 
Tu. 4/28 
6.2 
Discontinuous Functions 
6.2 Exercises: 1,3,6,7,9,12,14,15 
Th. 4/30 
Review.
Practice
Final Exam Solutions
to Practice Final Exam 

Week 16 
Tu. 5/5 
Final Exam 
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Last modified: 1/20/2015