MIA 501E - Engineering Mathematics

Course Objectives

Matrices and system of linear equations, eigenvalue problems, ordinary differential equations, series solution, special functions, partial differential equations: elliptic, parabolic and hyperbolic equations, separation of variables, Laplace transforms, Fourier transforms, Green’s function, perturbation methods.

Course Description

Linear Algebra: Matrices, Vectors, Determinants, Linear Systems, Matrix Eigenvalue Problems. Ordinary Differential Equations (ODEs): First-Order ODEs, Second-Order Linear ODEs, Higher-Order Linear ODEs, Systems of ODE’s, Series Solutions of ODEs. Special functions. Laplace Transforms. Fourier analysis: Series, Integrals, and Transforms. Partial Differential Equations (PDEs).