**INDIAN INSTITUTE OF TECHNOLOGY
BOMBAY**

**DEPARTMENT OF MATHEMATICS **

**MA 203 : MATHEMATICS**

**AUTUMN - 2002 **

**" Differential Equations are the
foundation of natural Scientific, Mathematical view of the world **
- V. I. Arnold

" Science ( and Technology ) will
not light the lamp in a person whose soul has no fuel".
-Albert Einstein

" The Integration by formula is the
key to the modern theory of Differential Equations".

" The beginner should not be
discouraged if he/she finds that he/she does not have the prerequisites for
reading the
prerequisites"
-P R Halmos

"Everything should be made simple as
simple as possible, but not simpler" - Albert
Einstein

**The main emphasis of our course MA203
is on**

*****
Solution methods with related theory as a
tool for clarifying the concepts.

***** It's
link to other areas : like Linear Algebra Calculus etc. : Applications of
Linear Algebra and Calculus ( MA 103 & MA 104 ) for solving ODE's

*** ** Stability
( phase space analysis ) : It is important in understanding the steady state
behaviour of the physical process .

*** **It's
link to applications ( whenever possible ) : we may not able to do justice to
this part, but a slight emphasis may motivate the underlying techniques.
However, students will able to see more applications in their branches.