MH4727 — Differential Equations and Applications
This module is not taught at the moment
Contact Information
| Name | Dr. Bernd Kreussler |
| Office | N29 |
| Internal Telephone | 4578 |
| bernd.kreussler@mic.ul.ie | |
| WWW | www.maths.mic.ul.ie/kreussler/ |
Some Links of interest
- Calculus Online at the University of British Columbia (Vancouver, Canada)
Contents of the lecture delivered during the autumn semester 2008
- Introduction
- Recapitulation of basic analysis
- Differential equations and pictures
- Integration
- Equations of First Order
- The existence and uniqueness theorem
- Linear equations of first order
- Other types of first order equations
- Applications to problems from reality
- Linear Equations of Second Order
- Methods of solution
- Applications to problems from reality
- Power Series
- Definitions and examples of power series
- Using power series to solve initial value problems
- Systems of Differential Equations
- Methods of solution
- Applications to problems from reality
Textbooks
Section 515.35 on the shelves in the library contains several useful books. Some of them are listed below.
- Epstein, Bernard: Partial differential equations : an introduction. (Krieger Pub. Co) 1975
- Plaat, Otto: Ordinary differential equations (Holden-Day) 1971
- Schwarzenberger, Rolph Ludwig Edward: Elementary differential equations (Chapman & Hall) 1969
- Tierney, John A.: Differential equations (Allyn and Bacon) 1979
- Nagle, R. Kent: Fundamentals of differential equations (Addison-Wesley) 1996
- Arnold, Vladimir I.: Geometrical Methods in the Theory of Ordinary Differential Equations, (Springer-Verlag) 1988
- Grossman, Stanley I.: Multivariable calculus, linear algebra, and differential equations, (Harcourt, Grace, Jovanovich) 1986
