CIVE 331 Advanced Mathematics for Civil Engineers

Civil Engineering (2009-2010)

This course is an integration of CIVE 121, CIVE 221, and CIVE 222 in which both classical calculus theory and basic computational algorithms were discussed. Partial differential equations (PDEs) with application in the modelling of civil engineering processes (e.g., wave, diffusion, Laplace and Poisson equations). Boundary and initial conditions. Numerical integration. Numerical interpolation schemes for irregularly spaced spatial data (e.g., splines, Lagrange polynomials, etc). Solution methods for linear and non-linear systems of algebraic equations. Numerical solution of PDEs using the finite difference method. Aspects of the finite element method. An emphasis will be placed on algorithm development and implementation. Maple and Visual Basic will be integral tools in this course. [Offered: W]