The advanced mathematics course provides the necessary applied mathematical and analytical tools useful for solving practical engineering problems. Topics include first ordinary differential equations and solutions, second order differential equations and higher order differential equations, series solution of ordinary differential equation including power series method, Bessel functions, Legendre function, and hyper-geometric functions, linear algebra and calculus including matrices, eigen-values eigen-vectors, vector differential calculus, divergence and curl vector fields, vector integral calculus including Green’s theorem and Stoke’s theorem, Laplace transforms, Fourier analysis of differential equations, partial differential equations including basic concepts, vibrating strings, D’Alembert solution, wave equation and heat equation.