Examples

Comparing Splines (4-12-06)

In class example comparing the effect of different types of splines for a 4 point data set.
More information on cubic Hermite splines.

Spline (4-7-06)

Carl de Boor is of the world renowned researchers on splines and is an emeritus faculty at UW-Madison.

Oscillation example (4-5-06)

MATLAB script.

Extrapolation example (4-3-06)

Population regression example Q14.11: data, 1st-7th order

Regression example (3-29-06)

Nonlinear regression example Q13.13: data, part A, part B, fSSR

Class example (3-27-06)

Chebyshev modification of Cubic Least Squares Example

Cubic Least Squares Example (3-24-06)

Matlab script for in class example.

Least Squares Example (3-22-06)

Plot data.
Plot data and regression line.
Plot using matlab polyfit function.

Proof of Jacobi & Gauss-Seidel (3-6-06)

Unfortuantely we don't have enough time in class to cover these proofs, but here is an excellent references.

Residual Correction Method (2-27-06)

A detailed description about why RCM is needed in several important cases.

Chaos in Fixed-Point Iteration (2-10-06)

Presentation

Testing out Fixed-Point Iteration Method (2-8-06

Here is a nice way to test out the Fixed-Point iteration method for a variety of different functions using a visual applet.

Convergence for Secant (2-6-06)

Convergence of Secant by Jan Verschelde

Tayor Series Error Example(1-30-06)

Plot Taylor's approximation of exp
Plot the error of varying approximations

Arithmatic errors (1-27-06)

Script
View from [0,2]
View from [0.99998,1.00002]

MATLAB introduction continued (1-25-06)

Intro2

MATLAB introduction (1-23-06)

Intro
MATLAB reference sheet by Giordano
Latex version of the MATLAB reference sheet by Giordano for you to modify for yourself.

Velocity Example (1-20-2006)

velocityClosedForm.m
velocity.m
deriv.m