Math 441/541 -
Introduction
to Numerical Analysis
Fall - 2007
This first semester introduction to the field of numerical analysis
will investigate numerical techniques in :
- solving equations in one variable (root-finding)
- interpolation and polynomial approximation
- numerical differentiation and integration
- solving ordinary differential equations
- solving linear systems of equations
and the errors associated with each of these techniques. There
will
be a significant component of the class the comes from implementing or
using these methods to complete homework projects. Class examples
and files will use MATLAB, which is available through the WCU
application server, but students are free to use whatever language the
wish to
program in, as long as their programs compile and run correctly for the
instructor.
Daily homework listings can be found at the following link: Homework
Assignments
Here are a few handouts for class:
Basic
Class Information:
First
Class, August 23: Computer Arithmetic
- IEEE Floating Point Numbers Link
- Floating Point Numbers in MATLAB Link
- MATLAB code for finding machine epsilon FindingEpsilon.m
- Outline of Class Topics (PDF)
- Scanned Class Notes (PDF)
Second
Class, August 30: Computer Arithmetic (Part 2)
- Outline of Class Topics (PDF)
- How-To for LaTeX (PDF)
- Things to Be Wary of with Computer Arithmetic (PDF)
- Scanned Class Notes (PDF)
Third
Class, September 6: Root Finding
- Outline of Class Topics (PDF)
- Scanned Class Notes (PDF)
Fourth
Class, September 13: Root Finding (Part 2)
- Outline of Class Topics (PDF)
- Scanned Class Notes (PDF)
Fifth Class,
September 20: Root Finding (Part 3)
- Scanned Class Notes (PDF)
-- Adjust the orientation in Adobe Acrobat
Sixth
Class, September 27: Interpolation
- Outline of Class Topics (PDF)
- Excel spreadsheet of Divided Difference Method (xls)
- Scanned Class Notes (PDF)
-- Adjust the orientation in Adobe Acrobat
Seventh
Class, October 4: Interpolation (continued)
- Outline of Class Topics (PDF)
- Excel spreadsheet of Divided Difference Method (xls) and Hermite Polynomials (xls)
- Lagrange Polynomials in Maple (mw)
- Scanned Class Notes (PDF)
Topics for Test 1 (pdf)
Eighth
Class, October 18: Interpolation and Differentiation (and hopefully
Integration)
- Outline of Class Topics (PDF)
- MATLAB help on splines (PDF)
- Scanned Class Notes (PDF)
Ninth
Class, October 25: Differentiation and Integration
- Outline of Class Topics (PDF)
- Difference Formulas (PDF)
- Integration Formulas (PDF)
- Composite Integration Formulas (PDF)
- Scanned Class Notes (PDF)
Tenth
Class, November 1: Composite Integration
- Outline of Class Topics (PDF)
- Scanned Class Notes (PDF)
Topics for Test 2 (pdf)
Eleventh
Class, November 8: Introduction to Differential Equations
- Outline of Class Topics (PDF)
- Scanned Class Notes (PDF)
Topics for Test 3 (PDF)
Return to Erin's Home Page