MAK 501E - Engineering Mathematics

Course Description

Ordinary Differential Equations (ODEs): First-Order Differential Equations, Second-Order Linear Differential Equations, Higher-Order Linear Differential Equations, Method of Undetermined Coefficients, Method of Variation of Parameters, Series Solutions of Differential Equations (SSDEs). Special Functions; Legendre's Equations, Bessel's Equation, Sturm-Liouville Problems, Orthogonality, Eigenfunction Expansions, Laplace Transforms and Applications. Linear Algebra: Matrices, Vectors, Determinants, Linear Systems of Equations, Gauss Elimination, Eigenvalues, Eigenvectors, Grad, Div, Curl. Fourier Analysis: Series, Integrals, and Transforms. Partial Differential Equations.