MTH 244/2
Differential Equations
Fall 2013/URI
Text: Ordinary Differential Equations by Finizio and Ladas, Simon and Schuster, Third Edition
Exams and Grading: Your grade will be based on two tests, a final exam, quizzes and Mathematica projects as follows:
Two tests at 150 points each 
300 points 
Final exam 
200 points 
Quizzes 
100 points 
Two Mathematica Assignments 
100 points 
Total 
700 points 
Calculators and Computers: As in Calculus Courses you will need a programmable graphing calculator. You are encouraged to use the CAS (computer algebra system) such as Mathematica and Scientific Notebook and online programs that can be found on Internet. We will give a brief introduction to such resources. All Mathematica notebooks needed will be provided in SAKAI and demonstrated in the class.
Course Description: In MTH 244 we study ordinary differential equations in greater details than in the calculus courses. This subject has wide applications in the physical sciences, engineering, biomedical sciences, and economics. Ordinary Differential Equations lead to many advanced areas of mathematics itself. Ordinary Differential Equations may be considered as the ultimate mastery in calculus. You will find that there are new algebraic ideas to master. You will also find the close connections to the techniques and ideas of linear algebra.
The homework problems are the core of this course. An important purpose of the problems is to make you think through and master the ideas of the subject so that you can confidently apply your knowledge in new situations. You will learn a great deal from honest hard work on a problem, even if you don't succeed in solving it. Read the text material before working on the problems. In SAKAI you will be provided by numerous solved problems.
The exams will reflect the variety of the homework problems, quizzes and
problems solved in the class. It is important that you give these problems
adequate time and effort.
The topics that will be covered are:
Exact solutions of first order differential equations (homogeneous, linear, Bernoulli, differential equations with total differential)
Existence and uniqueness theorems for differential equations
Linear differential equations – general theory
Systems of linear differential equations
Laplace transform and applications in solving linear differential equations
Solving linear differential equations with method of series
Numerical solutions of ordinary differential equations
Online information: www.math.uri.edu/courses and www.math.uri.edu/~kulenm
Instructor: Dr. M. Kulenovic, Lippitt 202D, Ph. 44436, email: mkulenovic@mail.uri.edu
Office hours: MWF: 11  12 Time: MWF: 2 2: 50 Room: Bliss 205
Sections 
Homework Problems 
Exams/Events 
1.1 
5,7,11,14,18,25 

1.2 
3,5,7,10 

1.3 
1,11,19, 22,33 

1.4 
5,7,17,31,35,41,44,45 

1.5 
1,5,11,15,23,25,29,32,41 

1.6 
1,7,12,19,23,29 

1.7 
3,7,12 

1.8 
1,4,5 

2.2 
3,7,8,30,33,41 

2.3 
1,7,11 

2.4 
5,7,11,19,35 

2.5 
5,20,23,35,47 

2.7 
7,11,19,31,37 

2.8 
5,7,14,29 

2.9 
5,10,14 

2.10 
7,11,19,23 

2.11 
1,7,14,23,29,41 

2.12 
5,7,11,23 

3.1 
5,7,11,29 

3.2 
5,7,11,19 

3.3 
5,7,19,23,29,35 

4.2 
4,7,14,28,31,49 

4.3 
5,7,28,31 

5.2 
7,11,16 

5.3 
7,10,14 

5.4 
4,7,19,20 

5.5 
7,11,23,29 

7.2 
4,5,8 

7.3 
2,5,8 







Lectures on Differential
Equations:
Mohamed Khamsi’s
Lecures on Differential Equations
Online Handbooks on
Differential Equations:
Links for Differential Equations:
Interesting Java applets for Differential Equations
Interactive Differential Equations set of applets for Differential Equations