MTH244 (Differential Equations)

Vladimir A. Dobrushkin, Tyler 207, 874-5095, dobrush@math.uri.edu

Math 244 course is the first course in Ordinary Differential Equations. We present mathematical techniques involving differential equations used in the analysis of physical, biological and economic phenomena. Emphasis is placed on the use of established methods, rather than rigorous foundations.

1. First and second order differential equations.

2. Series solutions of second order linear equations.

3. The Laplace transform.

4. Numerical methods.

This course in elementary differential equations is designed to introduce the student for displaying the interrelations between mathematics and physical sciences or engineering. The principal attention is given to those methods that are capable of broad applications and that can be extended to various problems.

The methods discussed here include not only elementary analytical techniques that lead to exact solutions of certain classes of problems, but also include approximations based on numerical algorithms or series expansions, as well as qualitative or geometrical methods.

The problem sets will be assigned and discussed in subsequent class sessions.

The course is intended for students majoring in applied mathematics, physics, and engineering. Students are encouraged to use one of available CAS, for example, Maple (since the University has the licence).

For your convenience, there are references for basic Maple commands, Maple ODE Quick Reference, and related Web Sites.

The prerequisite is some knowledge of calculus.

**MTH244, section 03, MWF 12:00 - 12:50 pm Rodman Hall, Room 226 **

**TEXTBOOK:**N.J. Finizio & G. Ladas **"Ordinary Differential Equations"**, (third edition) 1999, Simon and Schuster Custom Publishing, ISBN: 0 536 01852-9

**Help With Your studies and homework:**

Tutors are available at both the providence and kingston campuses. Check with them for specific hours. Also, you can make individual appointments with me. For this, contact me by phone, e-mail, or ask me during class.

I may help you with questions during office hours, or at other times by appointment. Also, I will try to answer questions sent by electronic mail as promptly as possible. Students who require accommodations and who have documentation from Disability Services (874-2098) should make arrangements with me as soon as possible.