Applied Engineering Mathematics I

Catalog description

Application of mathematical principles to the analysis of engineering problems using linear algebra and ‎ordinary differential equations (ODE’s). Topics include: mathematical modeling of engineering problems; ‎separable ODE’s; first-, second-, and higher-order linear constant coefficient ODE’s; characteristic equation ‎of an ODE; non-homogeneous equations; Laplace transforms; shifting theorems; convolution; solution of ‎an ODE via Laplace transform; matrix addition and multiplication; solution of a linear system of equations ‎via Gauss elimination and Cramer’s rule; rank, determinant, and inverse of a matrix; eigenvalues and ‎eigenvectors; existence and uniqueness of solutions; solution to system of ODE's by diagonalization.‎