MATH 2410

Elementary Differential Equations

Spring 2019

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

Office: ACD 114A
Phone
: (860) 405-9294

Office Hours
: TuTh 1:00 - 2:00pm. 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 from chapters of the textbook. The topics include first and second order equations, systems, Laplace transforms.


Class Meeting Times/Place: Tuesday, Thursday 2:00 - 3:15 p.m. Classroom  ACD 206.

                                                      All classes start in ACD 206.

Textbooks:                          Required:

The textbook for the course is “A First Course in Differential Equations with Modeling Applications” by Dennis G. Zill, 11th edition.

Homework Policy:

The homework for Math 2410 is assigned at the end of each class and is collected every Thursday. The total weight of the homework grades is 150 point of the total 500 course points.

Exam Schedule:                   Exam 1:  Thursday, February 21 ,              2:00 - 3:15p.m.,  Room: ACD 206
                                                    
Exam 2:  Thursday, March 28 ,              2:00 - 3:15p.m.,  Room: ACD 206
                                                     Final Exam: Tuesday, May 1,                  1:00 - 3:00 p.m.,  Room: ACD 206

Grading Policy:                        Homework: 150, Exam 1: 100, Exam 2: 100, Final Exam: 150.

Weather Cancellation:                         greenball  Media sites for Avery Point campus weather cancellation information.


 

Date Chapter Topic Homework
Week 1 Tues. 1/22 1.1 Definitions and Terminology Ch. 1.1 Exercises: 1,2,5,6,15,16,21,22,35,36,43,44

Thur. 1/24 1.2
1.3
Initial-Value problems
Differential Equations as mathematical models
Ch. 1.2 Exercises: 3,4,7,8,11,12,17,18
Ch. 1.3 Exercises: 3,9,10,14





Week 2 Tues. 1/29 2.1 Solution curves without a solution (Direction fields/Autonomous). Ch. 2.1 Exercises: 1,2,5,6,14,15,16,20,28

Thur. 1/31 2.2 Phase portraits. Separable equations Ch. 2.2 Exercises: 3,4,7,8,9,10,27,28,40,51





Week 3 Tues. 2/5 2.3 Linear equations Ch. 2.3 Exercises: 3,4,5,6,25,26,31,32

Thur. 2/7 2.4 Exact equations. Ch. 2.4 Exercises: 1,2,7,8,12,13,19,20,40





Week 4 Tues. 2/12
Snow Day!

Thur. 2/14 2.5 Solutions by substitutions. Ch. 2.5 Exercises: 5,7,8,9,15,16,28,29,32





Week 5 Tues. 2/19 2.6 Euler's method. Ch. 2.6 Exercises: 3,4,7,8,13

Thur. 2/21
Review.
Practice Exam 1
Practice Exam 1. Solutions






Week 6 Tues. 2/26
Exam 1

Thur. 2/28 3.1 Linear models. Ch. 3.1 Exercises: 1,2,10,11,13,23





Week 7 Tues. 3/5 3.2 Nonlinear models. Ch. 3.2 Exercises: 1,4,8,9,13

Thur. 3/7 3.3 Modeling with Systems of 1st order Equations Ch. 3.3 Exercises: 1,2,7,8,9,12,13





Week 8 Tues. 3/12 8.1 Linear systems. Ch. 8.1 Exercises: 1,3,4,6,11,12,18,21

Thur. 3/14 8.2 Homogeneous linear systems. Ch. 8.2 Exercises: 1,4,7,8,9,10,13,16





Week 9 Tues. 3/19
Spring recess

Thur. 3/21
Spring recess





Week 10 Tues. 3/26 8.2 Homogeneous linear systems. Repeated eigenvalues. Ch. 8.2 Exercises: 21,23,24,27,28,35,37,38

Thur. 3/28 8.2 Homogeneous linear systems. Complex eigenvalues.





Week 11 Tues. 4/2
Review.
Practice Exam 2
Practice Exam 2. Solutions

Thur. 4/4
Exam 2





Week 12 Tues. 4/9
Review.

Thur. 4/11 4.1 Linear equations. Ch. 4.1





Week 13 Tues. 4/16 4.1 Linear equations. Ch. 4.1 Exercises: 1,2,15,16,18,22,34,36

Thur. 4/18 4.1 Linear equations. Ch. 4.1





Week 14 Tues. 4/23 4.3 Homogeneous linear equations with constant coefficients. Ch. 4.3 Exercises: 1,3,4,7,11,13,17,24

Thur. 4/25 4.4 Undetermined coefficients. Superposition approach. Ch. 4.4





Week 15 Tues. 4/30 7.1 The Laplace Transform Ch. 7.1
Thur. 5/2 7.2 Inverse Transforms and Transforms of Derivatives Ch. 7.2





Week 16 Tues. 5/7
Final Exam, 1:00-3:00 p.m.
Practice Final Exam
Practice Exam 2. Solutions


green divider green divider

This page is maintained by Dmitriy Leykekhman 
Last modified: 4/30/2019