Textbook: Numerical methods for Engineers, by S. C. Chapra and R. P. Canale, 3rd Edition, McGraw-Hill, 1998Fortran 90, by L. P. Meissner, PWS Publishing Co., 1998
Cognizant Faculty:
Description:
Applications of numerical methods to infrastructure and environmental problems. Development of mathematical models and computer programs using a compiled language (FORTRAN). Formulation and solution of initial and boundary value problems with emphasis on structural analysis, fluid flow, and transport of contaminants. Lecture, recitation and computation.
Course Topics:
Course Objectives:
1. To teach students the fundamental concepts of mathematical modeling and **FORTRAN** programming.
2. To teach students how to set up initial and boundary - value problems.
3. To teach students how to solve numerically ordinary and partial differential equations.
4. To teach students how to solve large systems of equations.
5. To teach students how to design a computer program to solve an engineering problem.
6. To teach students how to perform a sensitivity and uncertainty analysis due to variable data and parameters.
Course Outcomes:
1. Given an initial or boundary value problem, design a **numerical** model.
2. Given a large system of linear algebraic equations, design a computer code, obtain the solution, and perform an error analysis.
3. Given an equilibrium problem, design a model using successive over-relaxation for its solution.
4. Given a propagation problem, design a time-dependent finite-difference model for its solution.
5. Given a set of input parameters that are subject to error, determine the uncertainty of the computed results.
Assessment Tools:
1. In-class closed book exams test outcomes #1-5 for individual students.
2. Weekly problem sets test outcomes #1-5 under less time pressure.
3. Seven computer program assignments test outcomes #1-5.
4. Laboratory performance and reports test outcomes #1-5.