Student Projects in Linear Algebra
Instructor: David Arnold
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Fall 1997
The following students teams have selected their project topics.

Anonymous Principal Components Analyis in Remote Image Sensing

Darren Tully and Pat Chavez  Fractal Music

Todd Douglas and Dustin Helliwell  Hill Ciphers

Aaron Ambrosini and Thomas Thomaides  NFL Quarterback Rating System

Mery Apple and Karen Glinden  Forest Management  Sustainable Harvesting

Tammie Huff and Chris Ogden  The Singular Value Decomposition in Image
Compression

Jim Fahey and Mike Asher  Spotted Owl Population

Lori Williford and Randy Cessna  Fourier Series and the FFT

Anonymous Mapping Using Distance Between Cities

Gabe Petersen  Arnold's Cat Map

Peggy Morton and Arne Petersen  Image Compression with the Haar Wavelet
Transform

Woody Burley and Neva Holloday  Fractals

Jennifer Terwilliger  Analysis of Seismic Data
Kevin Yokoyama and I are compiling a list of articles and links on this
page that might find potential use as student projects in linear algebra.

The College Mathematics Journal is produced by the Mathematical
Association of America and contains article accessible by community college
students. You can find this journal at the Humboldt State University Library
in the periodical stacks. Each of the following is an article on linear
algebra selected from The College Mathematics Journal.

On Transformations and Matrices, Marc Swadener, 4:3, 1973, 4451, 4.4

Binomial Matrices, Jay E. Strum, 8:5, 1977, 260266

Mathematics in Archaeology, Gareth Williams, 13:1, 1982, 5658, C

Visual Thinking about Rotations and Reflections, Tom Brieske, 15:5, 1984,
406410, 4.4

Harvesting a Grizzly Bear Population, Michael Caulfield and John Kent and
Daniel McCaffrey, 17:1, 1986, 3446, 4.6, 9.10

Why Should We Pivot in Gaussian Elimination?, Edward Rozema, 19:1, 1988,
6372, 4.6

Rotations in Space and Orthogonal Matrices, David P. Kraines, 22:3, 1991,
245247, C, 4.3, 4.4, 4.5

Number Theory and Linear Algebra: Exact Solutions of Integer Systems, George
Mackiw, 23:1, 1992, 5258, 9.3

Gems of Exposition in Elementary Linear Algebra, David Carlson and Charles
R. Johnson and David Lay and A. Duane Porter, 23:4, 1992, 299303, 1.2,
4.5, 4.7

A Random Ladder Game: Permutations, Eigenvalues, and Convergence of Markov
Chains, Lester H. Lange and James W. Miller, 23:5, 1992, 373385, 4.5,
9.10

Graphs, Matrices, and Subspaces, Gilbert Strang, 24:1, 1993, 2028, 3.1,
4.3

Linear Algebra and Affine Planar Transformations, Gerald J. Porter, 24:1,
1993, 4751, 0.4, 4.4

Iterative Methods in Introductory Linear Algebra, Donald R. LaTorre, 24:1,
1993, 7988, 4.5, 9.6

How Does the NFL Rate the Passing Ability of Quarterbacks?, Roger W. Johnson,
24:5, 1993, 451453, C

The Surveyor's Area Formula, Bart Braden, 17:4, 1986, 326337, 5.2.6, 5.2.8

Cramer's Rule via Selective Annihilation, Dan Kalman, 18:2, 1987, 136137,
C, 4.3

Convex Coordinates, Probabilities, and the Superposition of States, J.N.Boyd
and P.N.Raychowdhury, 18:3, 1987, 186194, 9.7

Determinantal Loci, Marvin Marcus, 23:1, 1992, 4447, C

Roots of Cubics via Determinants, Robert Y. Suen, 25:2, 1994, 115117,
0.7

Vectors Point Toward Pisa, Richard A. Dean, 2:2, 1971, 2839, 6.3

Arithmetic Matrices and the Amazing NineCard Monte, Dean Clark and Dilip
K. Datta, 24:1, 1993, 5256

A Geometric Interpretation of the Columns of the (Pseudo)Inverse of A,
Melvin J. Maron and Ghansham M. Manwani, 24:1, 1993, 7375, C

The Matrix of a Rotation, Roger C. Alperin, 20:3, 1989, 230, C, 8.3

The Linear Transformation Associated with a Graph: Student Research Project,
Irl C. Bivens, 24:1, 1993, 7678, 3.1, 9.1

Constructing a Map from a Table of Intercity Distances, Richard J. Pulskamp,

Systems of Linear Differential Equations by Laplace Transform, H. Guggenheimer,
23:3, 1992, 196202, 6.2

Approaches to the Formula for the nth Fibonacci Number, Russell Jay Hendel,
25:2, 1994, 139142, C, 0.2, 5.4.2, 9.3, 9.5

Connecting the Dots Parametrically: An Alternative to Cubic Splines, Wilbur
J. Hildebrand, 21:3, 1990, 208215, 5.6.1, 9.6

Some Applications of Elementary Linear Algebra in Combinatorics, Richard
A. Brualdi and Jennifer J. Q. Massey, 24:1, 1993, 1019, 3.2
Fall 1998
The following students teams have selected their project topics.

Ken Cabeen and Peter Gent  Applications of the DCT

Jody Hourigan and Lynn McIndoo  The Singular Value Decomposition in
Image Compression

Sky McKinley and Megan Levine  Cubic Spline Interpolation

Matt Tanner and Joel Aguirre  Image Compression with the Haar Wavelet
Transform

Scientific Notebook Version

Adobe Acrobat Version

Mfiles associated with project.

Paul Chesler  Digital Audio Synthesis Using Matlab

Scientific Notebook Version

Adobe Acrobat Version

Mfiles associated with project.

Kristian Cozyris and Craig Anderson  The Fourier Series and the Discrete
Fourier Transform
Fall 2000
The following students teams have selected their project topics.

Jeremy Miller and Ken Menkveld  Quatrainment

Mike Oremus and Ottopaskal Rice  Image Compression

Matthew Lincoln and Adrienne Carter  Fourier Series and the Discrete
Fourier Expansion

Shavez Kaleem and Al Abrahamsen
Fall 2001
The following students teams have selected their project topics.

Leland O'Driscoll and Rhyan Pink  Iterative Relocation of Earthquake
Hypocenters

Jesse and Tim Trutna  JPEG Image Compression

LiHong Huang The Haar Wavelet Transformation and Image Compression

Shinichi Tokoro  Cryptography

Robin R. Rumple and William Pence  The Mathematics of GPS Through Linear
Algebra

Adam Abrahamsen and David Richards  The Singular Value Decomposition
and Image Compression

Doug Saucedo and Jonathan Gent  Projecting into Fourier

Emilia Brinkhaus  Lights Out

Greg Brown and Liya Zhu  Information Retrieval using Vector Spaces

Iris Jensen  InputOuput Analysis using the Leontief OpenProduction
Model
Fall 2002
The following student teams have selected their projects.
 Mike Land and Tara Puzin  Warps and Morphs
 Greg Ames  Image Compression Using Haar Wavelet Transform
 David Frank  Circulant Matrices and Polynomials
 Liz Arnold and Tiffany Blaszak  Merlin's Magic Squares
 Steve Richards and Azuree Lovely  Matrices, Vector Spaces, and Information Retrieval
 Mike Bruce and Emily Shernock  Stage Based Population Projection Matrices and Their Biological Applications
 Tim Honn and Seth Stone 
Fall 2005
 Ken Huffman  Interpolating Data with the DFT
 Jacob Prystowsky and Levi Gill  Calculating Web Page Authority Using the PageRank Algorithm
 Chris Moody and Boden Hegdahl  Differentiation Matrices
 Brian Meyer and Garrett Jackson  The NSite Problem (GPS)
 Mike Liu and Elika Ketabchi  Edge Detection Using Linear Spatial Filtering
 Nina Manuel and Bethany Adams  The SVD and Image Compression
 Ben Ohanen and Matt Wisan  JPEG Image Compression
 Peter Spiegel and Tim Meyers  Warps and Morphs
 Kyle Shaw  Arnold's Cat Map
Fall 2006
 Damien Adams and Halsey Patterson  Haar Wavelet Transformation: Compression and Reconstruction>/li>
 Ben Allen  Finite Element Model for Earthquakes
 Andrea Brown and Katie Moe  Fractal Tilings
 Ken Gibson and Travis Chlossey  Linear Algebra and Azulejos
 Ian Cooper and Craig Lorenc  Image Compression Using Singular Value Decompositon
 Alison Pool and Lydia Silva  Modeling Prey and Predator Populations