Course Description
The use of computational mathematics to develop models, evaluate data, and make predictions of relevance to engineering. Numerical differentiation and integration, numerical solutions of algebraic, ordinary, elliptic and parabolic differential equations, error analysis, and programming techniques are examined in the context of engineering applications.
Athena Title
COMPUTATIONAL ENGR
Semester Course Offered
Offered fall
Grading System
A - F (Traditional)
Course Objectives
To provide skills needed for engineering analysis and solutions of algebraic, ordinary, elliptic and parabolic differential equations. At the conclusion of this course, students will be able to use computer programming to solve problems arising in engineering, and develop an understanding of how professional software intended for this purpose works.
Topical Outline
Computer numbering formats, arithmetic precision, machine epsilon Numerical differentiation and integration Basic programming skills (Matlab) Numerical solutions of ordinary differential equations Transport, advection, dispersion and diffusion Finite difference method Numerical solutions of Laplace and Heat equations Von-Neumann stability analysis Initial and boundary conditions (Neumann and Dirichlet)