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
First and second order
Series solutions of second
order linear equations.
The Laplace transform.
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.
A student is expected to learn how to use a software package (such as
Maple, Matlab, Mathematica, etc.) in solving ordinary differential equations.
Prerequisite: Elementary Calculus.
Exams & Solutions