OBJECTIVES:
●To introduce the basic concepts of PDE for solving standard partial differential equations.
●To introduce Fourier series analysis which is central to many applications in engineering apart from its use in solving boundary value problems.
●To acquaint the student with Fourier series techniques in solving heat flow problems used in various situations.
●To acquaint the student with Fourier transform techniques used in wide variety of situations.
●To introduce the effective mathematical tools for the solutions of partial differential equations that model several physical processes and to develop Z transform techniques for discrete time systems.
OUTCOMES:
1. Apply the basic Knowledge to identify and deal with partial differential
equations and their solutions.
2. Understand the principles of Fourier series and apply them in real life
situation.
3. Solve one dimensional equation using Fourier series techniques.
4. Solve two dimensional equations using Fourier series techniques.
5. Understand the mathematical principles on Fourier transforms.
6. Utilise the basic knowledge in solving difference equations using Z-transforms.