Math 316: Mathematics Methods

Inner product space and examples; solving ODEs with variable coefficients by power series method; Adjoint operators; turm-liouville theory; Orthogonal polynomials and special functions; Fourier series; Fourier transformation and applications to PDEs; Laplace transform and its applications, details in LMS.
Text Book: M.A.Al-Gwaiz, Sturm-Liouville Theory and its Applications, Springer, 2008.