MTH 244/1
Differential
Equations
Fall 2019/URI
Text: An Introduction to Differential Equations, by Stanley Farlow, Dover Pubs, 1994
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 Projects 
100 points 
Total 
700 points 
Calculators and Computers: As in Calculus Courses you will need a programmable graphing calculator. We recommend TI89. You are encouraged to use the CAS (computer algebra system) such as Mathematica 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, chemistry, 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 of topics in calculus. You will find that there are new algebraic and computational ideas to master.
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.
Objectives: At the end of the course you will be able to use numerical, graphical, algebraic and analytic techniques to analyze and/or solve scalar differential equations and systems of differential equations, and to apply the obtained information in the study of basic mathematical models.
The quizzes and exams will reflect the variety of the homework
problems 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 (separated variables, homogeneous, linear, Bernoulli, differential equations with total differential)
Existence and uniqueness theorems for differential equations
Linear differential equations – general theory
Solving linear differential equations with method of series
Laplace transform and applications in solving linear differential equations
Systems of linear 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@ uri.edu
Office hours: TuTh: 12:302 and by appointment
Time: TuTh: 9:30 – 10:45 Room: Lippitt 204
Sections 
Homework Problems 
Exams/Events 
1.1 
4,5,7,8 

1.2 
2,5,7 

2.1 
1,3,7,8 

2.2 
2,5,7,8,14,20 

3.1 
1,5,11,20,28 

3.2 
1,7,12,19 

3.3 
3,7,12,14 

3.4 
1,4,5,7 

3.5 
2,7,8,10 

3.6 
1,7,8,11 

3.7 
5,7,11,19,32 

3.8 
2,5,7,14 
Mathematica 1 
4.1 
7,11,19,31,37 
Exam 1 
4.2 
5,7,10,11,14 

4.3 
1,2,4,7 

5.1 
1,2,7,10 

5.2 
5,7,8,11,19 

5.3 
1,4,5,7,16 

5.4 
4,5,7,8 

5.5 
1,2,5,7,19,20 

5.6 
1,2,4,7 

6.1 
1,2,5,7 
Mathematica 2 
6.7 
2,4,5,7,11 
Exam 2 
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
Disability Any student with a documented disability is welcome to contact me as early in the semester as possible so that we may arrange reasonable accommodations (contact Disability Services for Students Office at 330 Memorial Union 4018742098).
Academic
Enhancement Center (AEC):In
addition to lecture and office hours, the Academic Enhancement
Center (AEC) offers extra academic help. For more information on
AECservices, study tips, and SI session, visit the AEC website
http://web.uri.edu/aec