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.