CIV502

Course Description

A course that covers advanced topics in engineering mathematics and applications of the material in advanced engineering models. Topics include: Ordinary differential equations (ODEs): Linear equation of order one and Bernoulli’s equation, integrating factors, coefficients linear in the two variables, linear equations with constant coefficients, nonhomogeneous equations with undetermined coefficients auxiliary equation and hyperbolic functions, and variation of parameters. Partial differential equations (PDEs): Method of separation of variables, boundary value problems, orthogonality of sines, cosines, solutions of Laplace’s equation, solution inside a rectangle and inside a circular disk, vibrating membranes; numerical methods for solution of ODEs and PDEs, and advanced topics in linear algebra (matrices, eigenvalue problems, bases, transformations, and numerical solutions); linear algebra applications in advanced engineering models: Artificial Neural Networks (ANN), and Linear Progra

Course Details