​Course Description: Ordinary differential equation with variable coefficients, solution by power series. Inner product of functions, self-adjoint operator, Sturm-Liouville theory. Orthogonal polynomials and special functions (Legendre, Hrmite, Gamma, Beta, Bessel). Generalized theory of Fourier series. Fourier integral and Fourier transform. Some applications. 

Theory and applications in statistical analysis. Combinations, permutations, probability, distributions of discrete and continuous random variables, expectation, and common distributions (including normal)

Course Description: Ordinary Differential equations with variable coefficients, solution by power series. Inner product of functions, self-adjoint operator, Sturm-Liouville theory. Orthogonal polynomials and special functions (Legendre, Hermite, Gamma, Beta, Bessel). Generalized theory of Fourier series. Fourier integral and Fourier transform. Some applications.