| Catalog Data |
The course teaches the students the basic techniques of modeling and numerical computation with emphasis on applications and the use of numerical software. Topics will be chosen from the following: modeling of physical systems with algebraic, differential, and integral techniques; algorithms for approximation; fitting functions to data; algorithms for the solution of linear systems and for finding eigenvalues and eigenvectors; algorithms for the solution of differential and integral equations; Fourier transforms. Prerequisite: MATH 232 and a computer language. One semsester, three credits. |
| Textbook |
Numerical Analysis
Eighth Edition, by Richard L. Burden and J. Douglas Faires, Brooks/Cole, 2005
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| Prerequisites |
You must have skills in problem solving, differential and integral calculus, and differential equations. |
| Goals |
The goals of the course are:
1. To obtain an intuitive and working understanding of some numerical methods for the basic problems of numerical analysis.
2. To gain some appreciation of the concept of error and the need to analyze and predict it.
3. To develop some experience in the implementation of numerical methods by using a computer and/or calculator, including an appreciation of computer/calculator arithmetic and its effects.
4. To gain competency with the software package Maple as a tool for numerical analysis.
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| Calculator Policy |
You must use a graphing calculator, such as the TI-89, on assignments and occasionally on tests. |
| Software |
You will need to be able to access the software package Maple on a regular basis. We will use Maple regularly in class and most assignments will require the use of Maple. Maple 13 is available on computers in the various campus computer labs. You also must have appropriate materials available to transfer files to and from the classroom and campus computers. |
| Topics |
Mathematical Preliminaries
Solutions of Equations in One Variable
Interpolation and Polynomial Approximation
Numerical Differentiation and Integration
Initial Value Problems for Ordinary Differential Equations
Direct Methods for Solving Linear Systems
Iterative Techniques in Matrix Algebra
Approximation Theory |
| Final Exam |
The final exam is comprehensive. |
| Attendance |
You must attend class regularly. |
| Course instructor webpage |
Br. Walter Schreiner |
Academics