Mathematica Files

Summer 2001-2002

Handouts

á       Incidence Matrices

á       Networks

á       Making Diagrams

á       Programming a Diagram Maker

á       Polynomial Approximations

á       Chebyshev Polynomials

á       Sierpinski Carpet and Gasket

á       Least Squares

á       Fourier Series

á       Fourier Transforms

á       Shapes and Projections

á       Shapes and Graphics

á       Method of Annihilators

á       Steepest Descent

Homework Solutions

á       Polynomial Approximations

á       Matrix Functions Homework Solutions

á       Inverse Function Homework Solution

á       Chebyshev Polynomials Homework Solutions

á       Sierpinski Gasket Homework Solutions

á       Singular Values Homework Solutions

á       Fourier Series Homework Solutions

á       Fast Fourier Transform (1) (Character Functions)

á       Fast Fourier Transform Signal Homework Solutions

á       Shapes Homework Solutions

á       Projections Homework Solutions

á       Graphics Homework Solutions

á       Methods of Annihilators Homework Solutions

á       Steepest Descent Homework Solutions

á       BroydenÕs Method Homework Solutions

Lectures

á       Lecture I (Incidence Matrix) 

á       Lecture 2 (Incidence Matrix cont.)

á       Lecture 3 Making a Diagram

á       Lecture 4 Module

á       Lecture 5 Taylor Polynomial

á       Lecture 6 Series Solution of an Ordinary Differential Equation

á       Lecture 7 Matrix Functions

á       Lecture 8 Chebyshev Polynomials

á       Lecture 9 Chebyshev Polynomials (cont.)

á       Lecture 10 Chebyshev Differential Equation

á       Lecture 11 (Sierpinski Gasket and Carpet)

á       Lecture 12 (Sierpinski Gasket and Carpet, Random Generation)

á       Lecture 13 (Singular Value Decomposition and Data Compression)

á       Lecture 14 (Least Squares, Reading Data)

á       Lecture 15 (Least Squares (cont.), Fourier Series)

á       Lecture 16 (Fourier Series, Fast Fourier Transform)

á       Lecture 17 (Fast Fourier Transform Signal)

á       Lecture 18 (Projections on a Plane)

á       Lecture 19 (Shadow)

á       Lecture 20 (Shadow cont., Graphics)

á       Lecture 21 (Graphics, Temperature Fit)

á       Lecture 22 (Differential Equations, Laplace Transform, Method of Annihilators)

á       Lecture 23 (Steepest Descent)

á       Lecture 24 (Steepest Descent)

á       Lecture 25 (Steepest Descent)

á       Lecture 26 (Packages)

á       Lecture 27 (Solving Equations)

Data Sets                   

á       Data Set for Least Squares

 

Software                    

á       Linear Programming Package

á       Linear Programming Package Extras