MA 2211 Transforms and Partial Differential Equations Important Topics

1. a² – x² , 1-x² , 1- |x| , a- |x|

2. Show that e^-a2x2 is self reciprocal

3. Find Fourier cosine and sine transform of e^-ax

4. Methods of partial fraction

5. Residues

6. One dimensional Heat equation

7. Two dimensional Heat equation

8. One dimensional wave equation

9. Infinite plates

10. Vibrating string with initial velocity and initial displacement

11. Lagrange’s Linear equation

12. Second order p.d.e

13. Fourier series

14. Half range sine series

15. Half range cosine series

16. Harmonic analysis