MATH 2410

Elementary Differential Equations

Spring 2015

Dmitriy Leykekhman

 

dmitriy.leykekhman@uconn.edu

Office: Academic Building 114A

Phone: (860) 405-9294 

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 1-4 of the textbook.

 

Class Meeting Times/Place:

 

Tuesday, Thursday 2:00p.m. - 3:15 p.m. Classroom  ACD 106. 

 

Textbooks:                         

Required: Differential Equations, 4th 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:            

 Math 2410 LINKS   


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

Straight-Line 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

Second-Order 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

 


 

This page is maintained by Dmitriy Leykekhman 
Last modified: 1/20/2015