The Old NCSU Webpage and Archive :

Teaching aids from my time at NCSU:

Below you will find an archive of past course pages from my time teaching as a graduate student at North Carolina State University. For the most part there are solutions to tests still available as well as earlier versions of my lecture notes. At the present time I am working on improving those notes for the corresponding courses at Liberty University where I now make my home. I intend to keep these pages active for the forseeable future.

For those of you who are unfamilar with NCSU-numbering,

Ma 341 = introduction to differential equations
Ma 242 = calculus III, the calculus of several variables
Ma 241 = calculus II, hard integration, physics applications, really basic DEqns, series
Ma 141 = calculus I, differentiation and most of integration

For those of you who are LU students, I should mention that the division of material is slightly different. Most notably we do not do quite so much differential equations in the calculus sequence (thankfully). Also, the text for my calculus notes was James Stewart's "Calculus and Concepts" which is a different version. The difference is mostly in the ordering of the topics.

  • MA 341 section 2 Summer I 2008 home.
  • MA 341 section 6 (6:00-7:15) Fall 2007 home.
  • MA 341 section 4 (1:30-2:45) Fall 2007 home.
  • MA 241 section 3 Summer II 2007 home.
  • MA 341 section 4 Summer I 2007 home.
  • MA 242 section 11 Spring 2007 home.
  • MA 430 Fall 2006 home.
  • MA 341 section 2 Summer II 2006 home.
  • MA 241 section 6 Spring 2006 home.
  • MA 241 section 3 Fall 2005 home.
  • Supersymmetry for Beginners Seminar Fall 2005
  • MA 141 section 3 Summer 2005 home.
  • MA 241 section 7 Spring 2005 home.
  • MA 141 section 16 Fall 2004 home.


  • Interests and Current Research:
    My interests generally fall under the category of theoretical or mathematical physics. The theory I worked out naturally extended ideas from both SUSY and Noncommutative geometry to encorporate them simultaneously. If your interested I've posted a preprint of my work below.
  • my paper
  • Last year Dr. Ronald Fulp and I worked through the theory of super Lie groups. Our paper is currently under review,
  • our paper
  • You can get some of the big ideas from my poster,
  • the poster
  • we hope to apply our theory of super Lie groups to treat Super Yang Mills in terms of supersmooth geometry. That work is currently in progress(2007).

    Fun Links:

    Yo Yo

    Beware the Richard Claus. The Richard Claus can be distinguished from other Santas by his identifying mark above his temple, the tell-tale boston red sox mark. If you meet a Richard Claus in the wild you should retreat slowly while ruthlessly insulting the boston red sox.

    Warren Siegel's webpage. I especially enjoy his university disclaimer.
    World of Mathematics
    Wikipedia Math Dictionary
    MacTutor History of Math Archive
    Marilyn Daily's Parametric Playground (Maple Worksheet)
    Lots and Lots of Math History

    North Carolina State University

    NCSU Webmail
    NCSU Homepage
    Math Department Homepage
    Math Faculty Directory
    My advisor Dr. R.O. Fulp
    Math Grad Student Directory
    Free Math Tutoring
    Registration and Records
    TRACS Link
    Reg & Records Faculty Login
    DH Hill Library
    WebAssign

    Church

    Colonial Baptist Church

    Other Schools I've Attended

    Mayland Community College
    Lees-McRae College
    Appalachian State University
    State University of New York at Stony Brook

    Notes on representation theory in quantum mechanics

    symmetries in QM, chpt 3.
    symmetries in QM, chpt 5.
    symmetries in QM, chpt 6 and 7.
    symmetries in QM, chpt 8.


    My talk on representation theory in quantum mechanics

    This talk outlines the story of isospin
    Many mathematical and physical details are avoided, the goal is to eulicidate the main algebraic motivation for using representation theory in physics. Along the way we learn what quarks are (naively) and what they explain (the eightfold way to begin). Mostly, we follow Greiner's symmetries in QM.

    Magnetic Monopoles

    Notes on relativistic electromagnetism and the Dirac monopole and the associated mathematics of principal fiber bundles, particularly Hopf bundles. Mostly finished,but contain some minor errors. Should add more on Yang-Mills theory later...( pgs 1-24 from fall 2005)
    magnetic monopoles

    Notes from some past and present courses

    The notes below are posted for my convenience. They are not corrected and contain numerous errors, beware. Anyway,
    Notes from Dr. Fulp's Anomaly course(2005)
    Notes from Dr. Fulp's Anomaly course(2005)


    The following are from when my brother took fiber bundles from Dr. Fulp in 2001.
    Notes from Dr. Fulp's fiber bundles 2001
    Notes from Dr. Fulp's fiber bundles 2001
    Notes from Dr. Fulp's fiber bundles 2001
    Notes from Dr. Fulp's fiber bundles 2001
    Exercises from Dr. Fulp's fiber bundles 2001
    handouts from fiber bundles 2001


    The following are from last year's fiber bundle course (fall 2004)
    Notes from Dr. Fulp's fiber bundles 2004
    Notes from Dr. Fulp's fiber bundles 2004
    Notes from Dr. Fulp's fiber bundles 2004
    Notes from Dr. Fulp's fiber bundles 2004
    Typed notes on fiber-bundles


    The notes posted below are Dr. Fulp's notes which apply directly to much of what is posted above.
    fiber bundles-setup
    fiber bundles-E&M
    fiber bundles-setup
    fiber bundles-group actions
    fiber bundles-group actions
    fiber bundles
    fiber bundles-group actions
    fiber bundles-group actions


    These are from the symmetries of differential equations course Dr. Fulp offered in 2001 out of Olver's book (well sort of)
    Symmetries of DEqns 2001
    Symmetries of DEqns 2001
    Symmetries of DEqns 2001


    Last Modified 7/14/2008.