Elementary Differential Equations

Spring 2016

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 106.

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 50 point of the total 500 course points.

Exam Schedule:                   Exam 1:  Tuesday, February 9 ,              2:00 - 3:15p.m.,  Room: ACD 106

Exam 2:  Thursday, March 10 ,              2:00 - 3:15p.m.,  Room: ACD 106
Exam 3:  Tuesday, April 12 ,                2:00 - 3:15p.m.,  Room: ACD 106
Final Exam: Tuesday, May 2,         2:00 - 4:00 p.m.,  Room: ACD 304

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

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

 Date Chapter Topic Homework Week 1 Tues. 1/19 1.1 Modeling via Differential Equations Ch. 1.1: Exercises 2,3,5,8,9,10 Thur. 1/21 1.2 Separation of Variables Ch. 1.2: Exercises 1,3,6,7,9,17,25,26,30 Week 2 Tues. 1/26 1.3 Slope Fields Ch. 1.3: Exercises 7,8,11,14,15,18 Thur. 1/28 1.4 Numerical Methods. Euler's Method Ch. 1.4 Exercises: 5,6,12 Week 3 Tues. 2/2 1.5 Existence and Uniqueness of Solutions Ch. 1.5 Exercises: 1,4,9,11,14 Thur. 2/4 1.6 Equivilibria and the Phase Line Ch. 1.6 Exercises: 1,3,7,13,15,19,22,23,31,37 Week 4 Tues. 2/9 Exam 1 Thur. 2/11 1.8 Linear Equations Ch. 1.8 Exercises: 1,3,7,8,9,11,15,19,23,27 Week 5 Tues. 2/16 1.9 Integrating Factors for Linear Equations Ch. 1.9 Exercises: 1,3,5,7,9,11,21,24 Thur. 2/18 2.1 Modeling via Systems Ch. 2.1 Exercises: 9,10,15,16 Week 6 Tues. 2/23 2.2 Geometry of Systems Ch. 2.2 Exercises: 9,10,13,14,15,16 Thur. 2/25 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. 3/1 2.5 2.6 Euler's Method for SystemsExistence and Uniqueness Ch. 2.5 Exercises: 1,2 Thur. 3/3 3.1 Property of Linear Systems Ch. 3.1 Exercises: 7,8,14,17,18 Week 8 Tues. 3/8 Review. Practice Exam 2 Practice Exam 2. Solutions Thur. 3/10 Exam 2 Week 9 Tues. 3/15 Spring recess Thur. 3/17 Spring recess Week 10 Tues. 3/22 3.2 Straight-Line Solutions Ch. 3.2 Exercises: 1,2,5,6,11,12 Thur. 3/24 3.3 Phase Portraits for Linear Systems with Real Eigenvalues Ch. 3.3 Exercises: 9,10,17,18,19,21 Week 11 Tues. 3/29 3.4 Complex Eigenvalues Ch. 3.4 Exercises: 1,9,10,13,15,16,23 Thur. 3/31 3.5 Repeated and Zero Eigenvalues Ch. 3.5 Exercises: 1,2,5,6,11,15,17,18 Week 12 Tues. 4/5 3.6 Second Order Linear Equations Ch. 3.6 Exercises: 1,2,4,5,8,9,32,33 Week 12 Thur. 4/7 Review. Practice Exam 3 Practice Exam 3. Solutions Week 13 Tues. 4/12 Exam 3 Thur. 4/15 4.2 Sinusoidal Forcing Ch. 4.2 Exercises: 1,3,4,,12,13,22 Week 14 Tues. 4/19 6.1 Laplace Transforms Ch. 6.1 Exercises: 1,4,6,8,10,14,15,17 Thur. 4/21 6.2 Discontinuous Functions Ch. 6.2 Exercises: 1,3,6,7,9,12,14,15 Week 15 Tues. 4/26 6.3 Second Order Equations Ch. 6.3 Exercises: 27,28,29,30 Thur. 4/28 Review. Practice Final Exam Practice Final Exam. Solutions Week 16 Tues. 5/3 Final Exam, 1:30 p.m.-3:30 p.m.