ENGR 3340 Numerical Methods and Advanced Programming for Engineers
This course involves the application of mathematical principles to the analysis of engineering problems using linear algebra and ordinary differential equations (ODE's). It includes use of software tools to solve engineering problems. Topics include: mathematical modeling of engineering problems; separable ODE's; first-, second-, and higher-order linear constant coefficient ODE's characteristic equation of a linear system of equations via Gauss elimination and Cramer's rule; rank, determinant, and inverse of a matrix; eigenvalues and eigenvectors; solution of an ODE via Laplace transform; numerical solution of ODE's.