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310.
Computer Solutions of Civil Engineering Problems. Matrix
algebra, eigenvalue problems, nonlinear equations, simultaneous linear
algebraic equations, numerical integration, initial value and boundary
value problems in ordinary differential equations.
Three
lectures. Fall (Cr.3)
Prerequisites:
ENGS 116, MATH 203.
Knowledge
of Mathcad or a similar spreadsheet. Infinite series; differential and
integration; differentiation, ordinary differential equations.
Course
Goals:
-
Introduce
the students to the type of numerical methods used in Civil
Engineering.
-
Develop
the students' ability to use engineering software.
-
Introduce
the students to the proper presentation of computer studies.
Course
Objectives:
The
student will be able to:
-
Solve
simultaneous equations using Gauss elimination.
-
Solve
nonlinear equations using both the Newton-Raphson Method and Linear
Interpolation.
-
Use
interpolation polynomials.
-
Carry
out both numerical differentiation and integration.
-
Solve
Boundary value problems using finite differences and matrix algebra.
-
Solve
initial value problems for first and second order dynamic systems.
-
Solve
the algebraic eigenvalue problem for simple systems.
-
Do
all the above on a mathematical spreadsheet such as Mathcad.
Course
Syllabus
Textbook:
N. Morris, Computer Solutions of Civil Engineering Problems;
printed notes
Topics:
-
Matrix
algebra and determinants.
5 lectures
-
Direct
methods for solving linear simultaneous algebraic equations and their
applications.
4 lectures
-
Indirect
methods for solving linear simultaneous algebraic equations.
2 lectures
-
Nonlinear
algebraic equations.
2 lectures
-
Interpolation
polynomials.
2 lectures
-
Finite
difference calculus.
2 lectures
-
Numerical
integration and its application.
2 lectures
-
Solution
of initial value problems in ordinary differential equations.
4 lectures
-
Solution
of boundary value problems by finite differential Difference
approximations.
3 lectures
-
Introduction
to available PC software and project material.
11 lectures
-
Testing
(3 tests, final examination).
5 hours
Computer
Usage: One computer laboratory session per week is used to familiarize the
students with the software used for projects; Mathcad is employed for Fall
2000. Four small computer
projects are required. Each
project exemplifies a different application of computers to civil
engineering problems, keeping in mind that the students are starting
Junior year.
ABET
category content as estimated by faculty member who prepared this course
description: Engineering
Science: 2 credits (67%), Mathematica:
1 credit (33%)
Prepared
by: Dr.
Nicholas Morris
Date:
Nov. 2, 2000
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