# Elementary Differential Equations

### Spring 2018

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 1-4 of the textbook.

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

All classes start in ACD 106.

Textbooks:                          Required:

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 150 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 22 ,              2:00 - 3:15p.m.,  Room: ACD 206
Final Exam:  Tuesday, May 1 ,              1:00 - 3:00p.m.,  Room: ACD 206

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

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

 Date Chapter Topic Homework Week 1 Tues. 1/16 1.1 Modeling via Differential Equations Ch. 1.1: Exercises 2,3,5,8,9,10 Thur. 1/18 1.2 Separation of Variables Ch. 1.2: Exercises 1,3,6,7,9,17,25,26,30 Week 2 Tues. 1/23 1.3 Slope Fields Ch. 1.3: Exercises 7,8,11,14,15,18 Thur. 1/25 1.4 Numerical Methods. Euler's Method Ch. 1.4 Exercises: 5,6,12 Week 3 Tues. 1/30 1.5 Existence and Uniqueness of Solutions Ch. 1.5 Exercises: 1,4,9,11,14 Thur. 2/1 1.6 Equivilibria and the Phase Line Ch. 1.6 Exercises: 1,3,7,13,15,19,22,23,31,37 Week 4 Tues. 2/6 Review. Practice Exam 1 Practice Exam 1. Solutions Thur. 2/8 Exam 1 Week 5 Tues. 2/13 1.8 Linear Equations Ch. 1.8 Exercises: 1,3,7,8,9,11,15,19,23,27 Thur. 2/15 1.9 Integrating Factors for Linear Equations Ch. 1.9 Exercises: 1,3,5,7,9,11,21,24 Week 6 Tues. 2/20 2.1, 2.2 Modeling via Systems. Geometry of Systems Ch. 2.1 Exercises: 9,10,15,16Ch. 2.2 Exercises: 9,10,13,14,15,16 Thur. 2/22 2.3,2,4 Linear and Special Systems Ch. 2.3 Exercises: 1,4,6,7Ch. 2.4 Exercises: 1,7,8,9,12,13 Week 7 Tues. 2/27 2.5 2.6 Euler's Method for SystemsExistence and Uniqueness Ch. 2.5 Exercises: 1,2 Thur. 3/1 3.1 Property of Linear Systems Ch. 3.1 Exercises: 7,8,14,17,18 Week 8 Tues. 3/6 3.2 Straight-Line Solutions Ch. 3.2 Exercises: 1,2,5,6,11,12 Thur. 3/8 3.3 Phase Portraits for Linear Systems with Real Eigenvalues Ch. 3.3 Exercises: 9,10,17,18,19,21 Week 9 Tues. 3/13 Spring recess Thur. 3/15 Spring recess Week 8 Tues. 3/20 Review. Practice Exam 2 Practice Exam 2. Solutions Thur. 3/22 Review. Practice Exam 2 Practice Exam 2. Solutions Week 11 Tues. 3/27 Exam 2 Thur. 3/29 3.4 Complex Eigenvalues Ch. 3.4 Exercises: 1,9,10,13,15,16,23 Week 12 Tues. 4/3 3.4 Complex Eigenvalues Ch. 3.4 Exercises: 1,9,10,13,15,16,23 Week 12 Thur. 4/5 3.5 Repeated and Zero Eigenvalues Ch. 3.5 Exercises: 1,2,5,6,11,15,17,18 Week 13 Tues. 4/10 3.6 Second Order Linear Equations Ch. 3.6 Exercises: 1,2,4,5,8,9,32,33 Thur. 4/12 4.1 Forced Harmonic Oscillations Ch. 4.1 Exercises: 1,2,5,10,11,20,21 Week 14 Tues. 4/17 4.2 Sinusoidal Forcing Ch. 4.2 Exercises: 1,3,4,,12,13,22 Thur. 4/19 6.1 Laplace Transforms Ch. 6.1 Exercises: 1,4,6,8,10,14,15,17 Week 15 Tues. 4/24 6.2 Discontinuous Functions Ch. 6.2 Exercises: 1,3,6,7,9,12,14,15 Thur. 4/26 Review. Practice Final Exam 1 Practice Final Exam 1. Solutions Practice Final Exam 2 Practice Final Exam 2. Solutions Week 16 Tues. 5/1 Final Exam, 1:00 p.m.-3:00 p.m.