Elementary Differential Equations

Spring 2017

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

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

Office Hours
: TTh 9:30 - 10:30am. 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 1-5 of the textbook.

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

All classes start in ACD 206.

Textbooks:                          Required:

Elementary Differential Equations by William F. Trench.

It is an open source textbook available free online here

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:  Tuesday, February 9 ,              2:00 - 3:15p.m.,  Room: ACD 206

Exam 2:  Thursday, March 9 ,              2:00 - 3:15p.m.,  Room: ACD 206
Exam 3:  Tuesday, April 11 ,                2:00 - 3:15p.m.,  Room: ACD 206
Final Exam: Tuesday, May 2,         1:30 - 3:30 p.m.,  Room: ACD 206

Grading Policy:                        Homework: 50, Exam 1: 100, Exam 2: 100, Exam 3: 100, Final Exam: 150.

Internet Resourses:                          Slope Field Generator

Series of videos by G. Strang and C. Moler

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

 Date Chapter Topic Homework Week 1 Tues. 1/17 1.1 Applications leading to differential equations Thur. 1/19 1.2 Basic concepts Ch. 1.2: Exercises 1,2,4(a-d),5,7,9 Week 2 Tues. 1/24 1.3 Direction fields for first order ODEs Ch. 1.3: Exercises 1,2,3,4,5,12,13,14,15 Thur. 1/26 2.1 Linear first order equations Ch. 2.1 Exercises: 4,5,6,9,16,18,20,21 Week 3 Tues. 1/31 2.2 Separable equations Ch. 2.2 Exercises: 1,3,4,6,11,12,17,18 Thur. 2/2 2.3 Existence and uniqueness of solutions Ch. 2.3 Exercises: 1,2,3,4,14,16,17,20 Week 4 Tues. 2/7 Practice Exam 1Practice Exam 1. Solutions Thur. 2/9 Snow Day! Week 5 Tues. 2/14 Exam 1 Thur. 2/16 3.1 Euler's Method. Ch. 3.1 Exercises: 1,4,6,14 Week 6 Tues. 2/21 4.1 Growth and decay Ch. 4.1 Exercises: 2,3,5,11 Thur. 2/23 4.2-4.3 Cooling, mixing and elementary mechanics Ch. 4.2 Exercises: 2,3,5,12 Ch. 4.3 Exercises:4,10 Week 7 Tues. 2/28 4.4 Autonomous second order equations Ch. 4.4 Exercises: Thur. 3/2 4.5 Applications to curves Ch. 4.5 Exercises: Week 8 Tues. 3/7 Review. Practice Exam 2 Practice Exam 2. Solutions Thur. 3/9 Exam 2 Week 9 Tues. 3/14 Spring recess Thur. 3/16 Spring recess Week 10 Tues. 3/21 5.1 Homogeneous linear equations Ch. 5.1 Exercises: Thur. 3/23 5.2 Constant coefficient homogeneous equations Ch. 5.2 Exercises: Week 11 Tues. 3/28 5.3 Nonhomogeneous linear equations Ch. 5.3 Exercises: Thur. 3/30 5.4 The method of underterminate coefficients 1 Ch. 5.4 Exercises: Week 12 Tues. 4/4 5.5 The method of underterminate coefficients 2 Ch. 5.5 Assignment 4 Week 12 Thur. 4/6 6.1-6.2 Spring problems Ch. 6.1 Week 12 Tues. 4/11 Review. Practice Exam 3 Practice Exam 3. Solutions Thur. 4/13 Exam 3 Week 14 Tues. 4/18 8.1-8.2 Laplace Transforms. Inverse transforms Ch. 8.1-8.2 Assignment 5 Thur. 4/20 8.3-8.4 Solutions to initial value problem Ch. 8.3 Exercises: Ch. 8.4 Exercises: Week 15 Tues. 4/25 8.5 Constant coefficient equations with piecewise continuous forcing functions Ch. 8.5 Exercises: Thur. 4/27 Review. Practice Final Exam Practice Final Exam. Solutions Week 16 Tues. 5/2 Final Exam, 1:30 p.m.-3:30 p.m.