June 23, 07

MA 207: Differential Equations-II  (3-1-0-4)
Review of power series and series solutions of ODE's. Legendre's equation
and Legendre polynomials.
Regular and irregular singular points, method of Frobenius.
Bessel's equation and Bessel's functions. Sturm-Liouville problems.
Fourier Series. D'Alembert solution to the Wave equation.
Classification of linear second order PDE in two variables.
Vibration of a circular membrane. Heat equation in the half space.

Text/References
1. E. Kreyszig, Advanced Engineering Mathematics, 8th ed., John Wiley, 1999.
2. W. E. Boyce and R. DiPrima, Elementary Differential Equations, 8th ed.,
John Wiley, 2005.
3. R. V. Churchill and J. W. Brown, Fourier Series and Boundary Value
Problems, 7th ed., McGraw-Hill, 2006.