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:
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.