Welcome to TiddlyWiki created by Jeremy Ruston; Copyright © 2004-2007 Jeremy Ruston, Copyright © 2007-2011 UnaMesa Association
Background: #fff
Foreground: #000
PrimaryPale: #8cf
PrimaryLight: #18f
PrimaryMid: #04b
PrimaryDark: #014
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SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88
<!--{{{-->
<div class='toolbar' macro='toolbar [[ToolbarCommands::EditToolbar]]'></div>
<div class='title' macro='view title'></div>
<div class='editor' macro='edit title'></div>
<div macro='annotations'></div>
<div class='editor' macro='edit text'></div>
<div class='editor' macro='edit tags'></div><div class='editorFooter'><span macro='message views.editor.tagPrompt'></span><span macro='tagChooser excludeLists'></span></div>
<!--}}}-->
When getting started, you may want to:
* Set your username for signing your edits: <<option txtUserName>>
* Change the page [[title|SiteTitle]] (now "<<tiddler SiteTitle>>") and [[subtitle|SiteSubtitle]] (now "<<tiddler SiteSubtitle>>"); they also set the browser tab title
* Create a tiddler where your content "starts"
** Use the button on the sidebar or [[link|My first tiddler]] it here, follow the link, edit, and click "done"
** It will be shown in the Timeline (usually on the right), but you may want to link it in the MainMenu (usually on the left)
** and/or make it open when the ~TiddlyWiki is opened by editing the list of [[DefaultTiddlers]] (separate links with spaces or linebreaks)
* Save your ~TiddlyWiki
** Although "download saving" works in any browser, it may be not that convenient, so you'll probably want to use [[a dedicated saver|https://classic.tiddlywiki.com/#%5B%5BSetting up saving%5D%5D]]
<!--{{{-->
<link rel='alternate' type='application/rss+xml' title='RSS' href='index.xml' />
<!--}}}-->
These [[InterfaceOptions]] for customising [[TiddlyWiki]] are saved in your browser
Your username for signing your edits. Write it as a [[WikiWord]] (eg [[JoeBloggs]])
<<option txtUserName>>
<<option chkSaveBackups>> [[SaveBackups]]
<<option chkAutoSave>> [[AutoSave]]
<<option chkRegExpSearch>> [[RegExpSearch]]
<<option chkCaseSensitiveSearch>> [[CaseSensitiveSearch]]
<<option chkAnimate>> [[EnableAnimations]]
----
Also see [[AdvancedOptions]]
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<div class='headerForeground'>
<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>
<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
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<div id='mainMenu' role='navigation' refresh='content' tiddler='MainMenu'></div>
<div id='sidebar'>
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<div id='sidebarTabs' role='complementary' refresh='content' force='true' tiddler='SideBarTabs'></div>
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<div id='displayArea' role='main'>
<div id='messageArea'></div>
<div id='tiddlerDisplay'></div>
</div>
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/***
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This StyleSheet can be used directly by languages such as Chinese, Japanese and Korean which need larger font sizes.
***/
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<!--{{{-->
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<div class='title' macro='view title'></div>
<div class='subtitle'><span macro='view modifier link'></span>, <span macro='view modified date'></span> (<span macro='message views.wikified.createdPrompt'></span> <span macro='view created date'></span>)</div>
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<html><iframe src="https://people.uncw.edu/hermanr/mat495/AI_in_Math.pdf" style="width:100%;height:400px"></iframe></html>
These are course specific assignments designed to help you get ready for writing your paper and doing your presentation. - Dates are subject to change.
|! Assignment|!Due Date|
|First LaTeX Assignment| Aug 25 |
|Pick Advisor/Topic| Aug 27 |
|[[Topic Proposal|Project Proposal Template]] with Literature List| Sep 3 |
|Reproduce the [[Math Expressions|MathExpressions.pdf]]| Sep 8 |
|Oral Progress Report/Literature List| Sep 12 |
|Draft - Abstract| Sep 15 |
|Presentations - First Run| Sep 26 |
|Draft - Introduction| Sep 24 |
|Presentations - Second Run| Oct 22 |
|Draft - Abstract, Introduction, Body, Bibliography | Oct 24 |
|Email Final Title, Abstract, Bio | Mar 30 |
|Presentations - Third Run| Nov 17 |
|Full Paper - First Draft| Nov 17 |
|Final Paper| Dec 3 |
We will use the //Beamer// package to produce presentation slides. Links can be found in the [[Intro to LaTeX|http://people.uncw.edu/hermanr/latex/]] pages or through an Internet search. Here we provide the basics for getting started. This is also summarized in [[Intro to Beamer|http://people.uncw.edu/hermanr/latex/beamerIntro.pdf]]. Some of the code described in this introduction is shown in [[BeamerEx.pdf|BeamerEx.pdf]] using the LaTeX source [[BeamerEx.tex|BeamerEx.tex]]
You might also be interested in
*[[Beamer Cheatsheet|http://www.cpt.univ-mrs.fr/~masson/latex/Beamer-appearance-cheat-sheet.pdf]] (Seems to be a connection problem.)
*[[Beamer Tutorial|http://www.uncg.edu/cmp/reu/presentations/Charles Batts - Beamer Tutorial.pdf]]
*[[LaTeX Cheat Sheet|http://www.stdout.org/~winston/latex/latexsheet.pdf]]
!Simple Code
The simplest code for producing a slide is
{{{
\documentclass{beamer}
\begin{document}
\begin{frame}{}
Here we add some text.
\end{frame}
\end{document}
}}}
!Modifications
On these slides one can add the usual commands for equations and itemized lists, etc. Compile the tex file and open the PDF file. Entering ''~CTRL-L'' will bring the file to full screen. You will seem small navigation icons along the bottom of the page.
Modifying the frame command will give the slide a title
{{{
\begin{frame}{First slide}
\end{frame}
}}}
or
{{{
\begin{frame}
\frametitle{This is a frame title}
Here we add some more text.
\end{frame}
}}}
Adding a second slide is simple.
{{{
\documentclass{beamer}
\begin{document}
\begin{frame}{First slide}
Here we add some text.
\end{frame}
\begin{frame}{Second slide}
Here we add some more text.
\end{frame}
\end{document}
}}}
Notice that the text is vertically centered. This is the default alignment. You can change the alignment by adding [t], [b], or [c] to the frame. For example,
{{{
\begin{frame}[t]
Here we add some text.
\end{frame}
}}}
!Title Slide
You will want a title slide. This is done by adding
{{{
\title[short title]{My Senior Project}
\subtitle[short subtitle]{subtitle if really needed \\ Advisor: Dr. So and So}
\author{My Name}
\institute{Mathematics and Statistics, UNCW}
\date{\today}
\titlepage
}}}
Enclosing the titlepage in a frame will center the page better.
{{{
\begin{frame}
\titlepage
\end{frame}
}}}
!Itemized List
You can add a list to a slide. Such a slide would look like
{{{
\begin{frame}{My Main Points}
My main points are
\begin{enumerate}
\item Point One
\item Point Two
\item Point Three
\end{enumerate}
\end{frame}
}}}
If you want a different enumeration, you can insert your own. For example,
{{{
\begin{frame}{My Main Points}
My main points are
\begin{enumerate}
\item[a.] Point One
\item[b.] Point Two
\item[c.] Point Three
\end{enumerate}
\end{frame}
}}}
This is enough to get started. However, the pages are a little plain and later you might want to modify the layout.
!Themes
Now we are ready to add features. First there are packages which you will probably need for mathematics, figures, links, etc. So, after the documentclass line, add
{{{
\usepackage{amsmath,amsfonts} % to use ams math symbols
\usepackage{graphicx} % to insert images
\usepackage{url} % to insert urls
}}}
There are a variety of Beamer Themes. Try the following after the packages are loaded:
{{{
\usetheme{Warsaw}
}}}
Notice how the pages have changed.
So, you do not like blue? Try the following
{{{
\documentclass[red]{beamer}
}}}
!Sections
If you place a section label between frames, then compile the file twice, you will see a navigation system between sections.
{{{
\section{Slide 2}
}}}
However, they begin to stack up and detract from the area you want for your material. So, you might change the first line to
''\documentclass[red,compress]{beamer}''
Also, inserting subsections will fill more of the navigation bar.
!Blocked Text
One can add blocked text. For example, try
{{{
\begin{frame}{Blocked Text}
\begin{example}
\begin{itemize}
\item This is an example.
\item \[\int_0^\infty e^{-x^2}\, dx.\]
\end{itemize}
\end{example}
\begin{block}{Standard}
Normal block
\end{block}
\end{frame}
}}}
!More Themes
There are many themes. See sites like [[Beamer Matrix|http://www.hartwork.org/beamer-theme-matrix/]] Insert the theme using
{{{
\usetheme{theme}
}}}
Common values for //theme// are
Hannover, Boadilla, Madrid, Pittsburgh, Rochester, Copenhagen, Warsaw, Singapore, Malmoe,
Goettingen, Berkeley or, ~AnnArbor.
You can also use
{{{
\usecolortheme{color}
}}}
The //color// value could be
albatross, beaver, beetle, crane, dolphin, dove, fly, lily, orchid, seahorse, whale, or wolverine.
If you want to load a Rochester theme but change to a brownish color, you can use
''\documentclass[xcolor=dvipsnames]{beamer}''
''\usecolortheme[named=Brown]{structure}''
''\usetheme{Rochester}''
Since brown is not a typical color, one can use the xcolor list. There are many styles, colors, etc. You probably should do something simple and spend your time on the content.
!Overlays
There are times when you do not want to reveal the entire slide at once. This was done in the days of transparencies by overlaying slides. Thus, the reference to overlays. Most often this consists of revealing one item at a time. Here we will demonstrate this by changing the itemized items as follows and see what happens.
Start with the list
{{{
\begin{enumerate}
\item<1-> Point One
\item<2-> Point Two
\item<3-> Point Three
\end{enumerate}
}}}
Notice that ''\item[1] Point One'' in the usual enumerated list was replaced with ''\item''{{{<1->}}} ''Point One''. Try removing the dashes and see what happens. Change the order of the numbers and see what happens. You should see that the following rules hold:
*{{{<3>}}} indicates that the item remains on the third overlay (version of this frame).
*{{{<3->}}} indicates that the item remains on the third overlay and beyond.
*{{{<-3>}}} indicates that the item remains up to the third overlay.
*{{{<3-5>}}} indicates that the item remains on the third thru fifth overlays.
*{{{<3-5>}}} indicates that the item remains on only the third and fifth overlays.
You could also use a ''pause'' to reveal one item at a time.
{{{
\begin{enumerate}
\item Point One \pause
\item Point Two \pause
\item Point Three
\end{enumerate}
}}}
Other things you can try are
{{{
\begin{enumerate}
\item<1,3> Point One
\item<2> Point Two
\item<3> Point Three
\end{enumerate}
}}}
This also works with bulleted items and subitems. Combining several overlays, we have
{{{
\begin{itemize}
\item<1-3> The first item
\begin{itemize}
\item<1-> The first subitem
\item<2-> The second subitem
\item<3-> The third subitem
\end{itemize}
\item<4-> The second item
\item<5> The third item
\end{itemize}
}}}
Notice how these satisfy the above rules.
One can get a bit fancy with overlays. Using the ''align'' environment plus ''\only'', we can change bits of an equation. Here terms are added with the equation in place.
{{{
\begin{align*}
\only<1>{y=ax^2}
\only<2>{y=ax^2+bx}
\only<3>{y=ax^2+bx+c}
\end{align*}
}}}
Also, one can use ''\alert'' to highlight parts of an equation. Here each term is highlighted as one progresses ''ENTER''.
{{{
\begin{frame}{Equation Overlays}
\Huge
\begin{equation*}
\alert<1->{f(x)} = \alert<2>{ax^2} + \alert<3>{bx} + \alert<4>{c}
\end{equation*}
\end{frame}
}}}
Using the ''tikz'' package, one can add graphics to highlight and draw arrows to parts of equations. In the preamble, insert
{{{
\usepackage{tikz}
\usetikzlibrary{arrows,shapes}
\tikzstyle{every picture}+=[remember picture]
\tikzstyle{na} = [baseline=-.5ex]
}}}
Then, one can insert an equation and descriptors. The labels (s1) and (d1) to (d4) are nodes. These are located where the corresponding terms in the equation appear. The arrows are then drawn between these nodes in the tikzpicture environment. Adding tags like {{{<3->}}} provide the overlays, or animations.
{{{
\begin{itemize}
\item<2-> Function of $x$ \tikz[na] \node[coordinate] (s1) {};
\item<1->[]{%
\begin{equation}
\tikz[baseline]{ \node[fill=blue!10,anchor=base] (d1) {$f(x)$}; }
= \tikz[baseline]{ \node[fill=red!10,anchor=base] (d2) {$ax^2$}; }
+ \tikz[baseline]{ \node[fill=green!10,anchor=base] (d3) {$bx$}; }
+ \tikz[baseline]{ \node[fill=yellow!15,anchor=base] (d4) {$c$}; }
\end{equation}}%
\item<3-> Quadratic term \tikz[na] \node[coordinate] (s2) {};
\item<4-> Linear term \tikz[na] \node[coordinate] (s3) {};
\item<5-> Constant term \tikz[na] \node[coordinate] (s4) {};
\end{itemize}
\begin{tikzpicture}[overlay]
\path<2->[->] (s1) edge [bend left] (d1);
\path<3->[->] (s2) edge [bend right] (d2);
\path<4->[->] (s3) edge [out=0, in=-90] (d3);
\path<5->[->] (s4) edge [out=0, in=-90] (d4);
\end{tikzpicture}
}}}
!Two Columns
We can also divide a slide into two columns and add text in both columns or text on one side and a figure on the other side. Such a frame looks like the following:
{{{
\begin{frame}{Two columns}
\begin{columns}
\begin{column}{0.5\textwidth}
Here we can add some text
\end{column}
\begin{column}{0.5\textwidth}
or, add text on the right side.
\end{column}
\end{columns}
\end{frame}
}}}
Assuming you have a JPG file in the same directory, you can place a list and a figure on the same page.
{{{
\begin{frame}{Two columns}
\begin{columns}
\begin{column}{0.5\textwidth}
Interesting points about the statue:
\begin{itemize}
\item Point One
\item Point Two
\item Point Three
\end{itemize}
\end{column}
\begin{column}{0.5\textwidth}
\begin{figure}
\includegraphics[width=2in]{thinker.jpg}
\caption{The Thinker, by Rodin, in Kansas City.}
\label{fig:thinker}
\end{figure}
\end{column}
\end{columns}
\end{frame}
}}}
!References
Here is a frame with references added.
{{{
\section{References}
\begin{frame}
\frametitle{References}
\begin{thebibliography}{99}
\bibitem{Erdos01} P. Erd\H os, \emph{A selection of problems and
results in combinatorics}, Recent trends in combinatorics (Matrahaza,
1995), Cambridge Univ. Press, Cambridge, 2001, pp. 1--6.
\bibitem{ConcreteMath}
R.L. Graham, D.E. Knuth, and O. Patashnik, \emph{Concrete
mathematics}, Addison-Wesley, Reading, MA, 1989.
\bibitem{Knuth92} D.E. Knuth, \emph{Two notes on notation}, Amer.
Math. Monthly \textbf{99} (1992), 403--422.
\bibitem{Simpson} H. Simpson, \emph{Proof of the Riemann
Hypothesis}, preprint (2003), available at
\url{http://www.math.drofnats.edu/riemann.ps}.
\end{thebibliography}
\end{frame}
}}}
!Welcome to MAT 495.
In this course you will investigate a mathematical topic in depth, write a paper, and present a talk on your topic in an open forum by the end of the current semester. During the course you will learn how to write a report and prepare a presentation using mathematics. You will do this under the guidance of the instructor and at most one other topic advisor in the department. Further expectations, assignments, and useful materials are found at this site.
!!The Undergraduate Catalogue Description
''MAT 495. Seminar in Mathematics (3)'' Prerequisite: 9 semester hours of mathematics courses at the 300-400 level. Reading, discussion, investigation, and preparation and presentation of reports on selected mathematical topics, under faculty supervision beyond the students’ courses of study. Satisfies University Studies Explorations Beyond the Classroom. Partially satisfies University Studies IV: Building Competencies/Writing Intensive. Partially satisfies University Studies IV: Building Competencies/Information Literacy.
!Course Materials
!!Books
A particular book is not required but these may prove to be useful:
//A Primer of Mathematical Writing,// Second Edition, Steven G. Krantz, 2017. [[arXiv PDF|https://arxiv.org/pdf/1612.04888]]
//Handbook of Writing For Mathematical Sciences,// 3rd Ed., Nicholas J. Higham, 2020. [[First Ed|https://www.scribd.com/doc/122254272/Handbook-of-Writing-for-Mathematical-Sciences#page=1]]
//How to Write Mathematics,// P. R. Halmos, 1970. [[PDF|https://www.di.ens.fr/~bouillar/Stages/Halmos-How-To-Write.pdf]]
//Unlocking LaTeX Graphics,// T. G. Kolda, 2024. [[Book page|https://latex-graphics.com/]] or [[YouTube|https://www.youtube.com/@UnlockingLaTeXGraphics]]
[[AI in Math]], R.L. Herman, 2025.
!!Online Resources
Much of the material used in class can be found here. In particular there will be a [[Materials]] Tiddler pointing to outside links and videos.
The information on LaTeX can be found through a different site, [[LaTeX an introduction for students|https://people.uncw.edu/hermanr/latex/]]
!Course Student Learning Objectives
By the end of this course students will
# articulate their expectations, the purpose, and/or the goals of the practicum in terms of their personal educational development (EBC 1)
# demonstrate understanding of connections between different areas of mathematics and with other disciplines (EBC 2)
# effectively and efficiently locate and utilize resources for mathematical scholarship (IL 1)
# demonstrate competence in independent reading and evaluation of mathematical materials (IL 2)
# demonstrate understanding of standards for ethical citation and use of mathematical ideas (WI 1; IL 3)
# review, structure, synthesize and apply mathematical knowledge to analyze problems linked to real-world applications (WI 2; IL 2, 3; EBC 2)
# demonstrate, through a series of drafts and revisions, skills in writing and presenting mathematical arguments in an organized, logical, and coherent form (WI 1, 2; IL 4)
# formulate and communicate results of mathematical analysis of problems and applications to the original field, including both mathematical and personal significance of the results (EBC 3; IL 4)
* [[Advisor/Advisee Agreement|http://people.uncw.edu/hermanr/mat495/mat495worksheet.pdf]]
*[[Student Consent Form|http://people.uncw.edu/hermanr/mat495/student_consent_form.pdf]]
*[[Syllabus and Guideline Handout|http://people.uncw.edu/hermanr/mat495/syllabusS15.pdf]]
*[[Project Proposal Template]]
*[[Beamer Template]]
*Beamer Example [[TeX File|http://people.uncw.edu/hermanr/mat495/BeamerBasic.tex]], [[PDF|http://people.uncw.edu/hermanr/mat495/BeamerBasic.pdf]]
!Rubric
*[[Department Rubric|mat-495-dept-oral-presentation-rubric.pdf]] for oral presentations
!Peer Critiques of Presentations
Comments from peers on presentations consist of both positive feedback and suggestions meant to improve the draft presentations.
*[[Peer critique for presentations|http://mathcomm.org/teaching-presentations/peer-critique-for-presentations/]] at [[MathDL Communications|http://mathcomm.org/]]
*[[Critique of Presentation|http://www4.caes.hku.hk/epc/presentation/acrobat/oral_critique.pdf]]
*[[Surviving Oral Presentations|http://digital.ipcprintservices.com/display_article.php?id=568660]]
!Peer Review
[[No One Writes Alone|http://video.mit.edu/watch/no-one-writes-alone-peer-review-in-the-classroom-a-guide-for-students-8336/]] MIT Video on Peer Review (6:33 min)
Dr. Herman advised many student senior seminar projects (math and physics) in areas such as chaos, fractals, game theory, nonlinear waves, wormholes, numerical simulations, ordinar/partial differential equations, and Fourier analysis.
!Mathematics
*Exploring Evolutionary Stability in ~Predator-Prey Dynamics with ~Game-Theoretic Models
*Great Walls of Water: The Pandemonium and Phenomena of Rogue Waves
*The Circular Restricted Three Body Problem and Applications to Astrodynamics
*Tidal Decomposition Using Fourier Transform
*Nonlinear Dynamics of the ~Emden-Fowler Equation
*Mathematical Theory of Diffraction
*Mathematical Optimization in Game Theory
*Dynamic ~Non-Linear Applications of Chaos
*Mathematics Behind Chladni Figures
*Methods of Numerical Integration of Whitham's ~F-Curve
*Comparing Numerical Methods of the ~Korteweg-de Vries Equation
*Applications of Fourier Transforms in Quantum Mechanics & Diffraction Theory
*Spacetime Geodesics and their Application to Schwarzschild Dynamics
*Signal Compression
*Math Meditation
*Solutions to the Friedmann Equations
*Mathematical Model of The Ebola Virus
*Aerodynamics of Soccer Balls
*The Knapsack Encryption Problem
*Hydrogenic Wave Functions
*The Mechanics of Surfing
*Prime Numbers
*Combinatorial Game Theory
*Nonlinear Wave Equations and the Soliton Solution
*Shallow Water Wave Modeling, The Boussinesq Approximation, and Bathymetric Design
*Population Modeling
*On Hearing the Shape of a Drum
*In the Blink of an Eye
*Reeling in Analysis of a Fly Fishing Rod's Response
*The Vibrating Membrane
*Monte Carlo Methods and Nuclear Decay
*Trajectory of a Soccer Ball
*An Introduction to Rotary Winged Flight
*Fractal Properties and Applications
*The Application of Game Theory to Global Counterterrorism
*An Analysis of the ~Hilbert-Huang Transformation and its Applications
*Nonlinear Resonances in the Solar System
*Nonlinear ~ODEs and Drugs
*Chemical Kinetics
*Relativity and GPS
*The Hydrogen Atom
*The Dripping Faucet and Chaos
*The Riemann Hypothesis
*Inflationary Cosmology
*Mathematical Foundations of Image Processing
*Chaotic Dynamics of Hyperion
*Elliptical Geometry and Applications
*Solitons
*~Slider-Block Dynamics and Applications in Geology
*Wavelets
*Plotting Hydrogen Wavefunctions
*Penrose Tilings
*Wavelets
*Spectral Analysis of ~EKGs
*Solitary Waves
*Chaotic Dynamics
*Numerical Solution of Schrödinger Equation
!Physics
*Analyzing Chevron Nozzles for Jet Noise Reduction
*Deriving and Applying Geodesics and Time Dilation in Extreme Gravitational Fields
*Application of the Bessel Function of the First Kind to ~TE11 Mode in Cylindrical Waveguides
*Quantum Computing
*Quaternionic Representation of Spinors Utilizing Quaternions to Describe Spinors and Entanglement
*Exploration of the History and Physics of General Relativity and Gravitational Waves
*The Physics of The Photovoltaic Effect and The Efficiency of Solar Energy
*Tracking the Motion of a Soccer Ball
*Dark Matter and Gravitational Lensing
*Space Weather And The Effects On Technology
*Relativistic Effects and Global Positioning System
*Chaos Theory within the Chua Circuit
*Path Integral Formulation of Quantum Mechanics
*Wormholes
*Mechanisms of Cuprate Superconductivity
*Helmholtz Resonators
*Gauge Theory
*Shock Waves and Supersonic Flow
*Introduction to Gravitational Waves
*Introduction to Quantum Computing
*The Physics of Earthquakes Modeled by the ~Burridge-Knopoff ~Two-Block ~Stick-Slip System with Friction
*Physics of Earthquakes
*Reflectionless Potentials and the ~KdV Solitons
*Resonance in the Solar System
*Striking a Beat
*Can ~Quantum-Mechanical Description of Physical Reality Be Considered Complete?
*Fate of the Universe
*Quantum Computing
*From Here to Eternity and Back: Are Traversable Wormholes Possible?
*~NMR, Physics
*Relativity and the Search for Gravitational Waves
*Gravitational Lensing
*Mechanics of Surfing
*Relativity and the Gravitational Positioning System
*Dusty Plasmas
*Nonlinear Dynamics
''What is ~LaTeX?''
LaTeX is a document editing system for producing scientific documents with properly typeset equations. More information can be found at [[http://people.uncw.edu/hermanr/latex/|http://people.uncw.edu/hermanr/latex/]]
''LaTeX Resources''
[[LaTeX Site|http://www.latex-project.org/]]
[[MikTeX Site|http://www.miktex.org/]]
[[The Comprehensive TeX Network (CTAN)|http://www.ctan.org/]]
''~How-To Produce Scientific Documents''
[[LaTeX by Example|http://pangea.stanford.edu/computerinfo/unix/formatting/latexexample.html]]
[[Getting Started with LaTeX|http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/Index.html]] by David R. Wilkins
''~LaTeX Help''
[[LaTeX Symbols|http://omega.albany.edu:8008/Symbols.html]]
[[LaTeX Math Symbols|http://web.ift.uib.no/Fysisk/Teori/KURS/TeX/latex1.html]]
[[Hypertext Help on LaTeX|http://www.giss.nasa.gov/tools/latex/ltx-2.html]]
[[Emory Help|http://www.emerson.emory.edu/services/latex/latex_toc.html]]
!Online Editors
*[[WriteLaTeX|https://www.writelatex.com/]] - Use Chrome Browser!
*[[ShareLaTeX|https://www.sharelatex.com/]]
*[[ScribTeX|http://www.scribtex.com/]]
[[Course Description]]
---------------------------------
''Evaluation''
[[Paper]]
[[Poster]]
[[Presentation]]
---------------------------------
''Resources''
[[Intro to LaTeX|http://people.uncw.edu/hermanr/latex/]]
[[Mathematics Writing]]
[[Presentations]]
[[AI in Math]]
[[Documents]]
---------------------------------
''Find a Topic''
[[Project Ideas]]
[[My Past Projects|Dr. Herman's Topics]]
[[MAT 495 Projects|Past Projects]]
----------------------------------
{{small{
<<search>>
<<closeAll>>
<<permaview>>
<<newTiddler>>
<<saveChanges>>
[[What are Tiddlers?]]}}}
----------------------------------
{{smaller{[[Created by Dr. R. Herman.|http://people.uncw.edu/herman]]}}}
[[tips on writing up assignment solutions|https://sites.ualberta.ca/~dwiens/stat312/byron%20on%20writing.pdf]]
!Miscellaneous
* [[The (mostly true) origins of the scientific journal|https://blogs.scientificamerican.com/information-culture/the-mostly-true-origins-of-the-scientific-journal/]]
*[[350 Years of Scientific Journals |http://www.lithoguru.com/scientist/litho_papers/JM3%20Editorial%202015%20q1_History.pdf ]]
*[[Philosophical Transactions, March 1665 | https://royalsocietypublishing.org/toc/rstl/1665/1/1]]
*[[Mathematical and physical papers, by George Gabriel Stokes |https://quod.lib.umich.edu/u/umhistmath/AAT0146.0003.001?view=toc ]]
*[[An Essay on the Application of mathematical Analysis to the theories of Electricity and Magnetism</a> by George Green|https://arxiv.org/abs/0807.0088 ]]
*[[American Journal of Physics |https://aapt.scitation.org/toc/ajp/current ]]
*[[American Physical Society |https://aps.org/ ]]
*[[Institute of Physics | https://www.iop.org]]
*[[Growth rates of modern science|"https://www.nature.com/articles/s41599-021-00903-w ]] - Oct 2021
*[[A century of physics|https://www.researchgate.net/publication/282426900_A_century_of_physics/figures?lo=1 ]]
*[[Global number of publications over time |https://academia.stackexchange.com/questions/126980/global-number-of-publications-over-time]] - StackExchange
*[[Number of Academic Papers Published Per Year |https://wordsrated.com/number-of-academic-papers-published-per-year/]] - 2023
*[[The Paradox of Proof |https://atm.org.uk/write/mediauploads/journals/mt237/non-member/the_paradox_of_the_proof___project_wordsworth.pdf ]] - Mochizuki's papers
**[[ABC Still a Conjecture |https://www.math.columbia.edu/~woit/wordpress/?p=12220 ]] - 2021
**[[2022 update |https://www.math.columbia.edu/~woit/wordpress/?p=12796 ]]
**[[2024 Update |https://www.math.columbia.edu/~woit/wordpress/?p=13895&cpage=1 ]] and [[video|https://www.youtube.com/watch?v=PJg1Yo9j6PE]]
*[[The importance of stupidity in scientific research |http://jcs.biologists.org/content/121/11/1771.full ]]
*Paper Generators - Pre-AI boom
**[[Math Paper Generator |https://thatsmathematics.com/mathgen/ ]]
**[[http://snarxiv.org/ |http://snarxiv.org/ ]]
**[[http://snarxiv.org/ | ]]
**[[Play arXiv vs. snarXiv |http://snarxiv.org/vs-arxiv/ ]]
**[[SCIgen - An Automatic CS Paper Generator |https://pdos.csail.mit.edu/archive/scigen/ ]]
**[[Fake Scientific Papers |https://www.physics.smu.edu/pseudo/Hoaxes/scigen.html ]]
**[[The fight against fake-paper factories that churn out sham science |https://www.nature.com/articles/d41586-021-00733-5 ]]
**[[Fake Star Trek Paper|https://www.space.com/39672-fake-star-trek-science-paper-published.html]]
**[[1953-nature-papers-watson-crick-wilkins-franklin|https://www.mskcc.org/teaser/1953-nature-papers-watson-crick-wilkins-franklin.pdf]]
!Writing
*[[Guide for Writing in Physics |https://www.southwestern.edu/live/files/4179-guide-for-writing-in-physicspdf ]]
*[[Reviews of Modern Physics Style Guide |https://cdn.journals.aps.org/files/rmpguapa.pdf ]]
*[[Writing Physics Papers |https://122.physics.ucdavis.edu/course/cosmology/sites/default/files/files/WritingPhysicsPapers.pdf ]]
*[[Physical Review tutorial for authors: How to write a great scientific paper |https://www.youtube.com/watch?v=kUsSnsfDgfI ]] - Webinar
*Abstracts
*[[What is an Abstract? |http://employees.oneonta.edu/ebertjr/what_is_an_abstract.htm ]]
**[[Effective Abstracts |http://people.physics.illinois.edu/Celia/Abstracts.pdf]] - Elliot
**[[Tips for writing title and abstrac |https://www.aps.org/meetings/policies/abstract-tips.cfm ]]
**[[How to Write a Scientific Abstract |https://www.wiley.com/network/researchers/preparing-your-article/how-to-write-a-scientific-abstract ]]
**[[UNC Guide |https://writingcenter.unc.edu/tips-and-tools/abstracts/ ]]
**Examples
***[[UConn |https://www.phys.uconn.edu/~eyler/phys258/W/abstracts.html ]]
***[[Good vs Bad |https://www.wlwv.k12.or.us/cms/lib/OR01001812/Centricity/Domain/1012/GoodAbstract.pdf ]]
**[[Common Mistakes |https://www.writingclearscience.com.au/abstractmistakes/ ]]
*Introductions
**[[How to write a compelling research paper introduction |https://www.youtube.com/watch?v=WBdg2OLU1UY ]] - Video
**[[Introductions |"https://writingcenter.unc.edu/tips-and-tools/introductions/ ]] - ~UNC
*[[Write Right |http://www.maths.adelaide.edu.au/anthony.roberts/LaTeX/ltxwrite.php ]]
*[[https://writing.wisc.edu/handbook/ |UW Madison Handbook ]]
*[[No one Writes Alone |"https://www.youtube.com/watch?v=tY8CX0J3ILc ]] - Peer Review - Video
*[[Guide to Writing
Mathematics|https://www.cs.ucdavis.edu/~amenta/w10/writingman.pdf ]]
*[[Effective Technical Writing |https://www.e-education.psu.edu/styleforstudents/node/1998 ]] Penn State
!Talking
*[[Pointer on giving a talk |https://people.eecs.berkeley.edu/~messer/Bad_talk.html ]]
*[[How to Do a Presentation in Class |https://www.wikihow.com/Do-a-Presentation-in-Class ]]
*[[Tips for scientific presentations |https://courses.physics.illinois.edu/phys596/fa2013/Lectures/EffectiveScientificPresentations_FA13.pdf ]]
*[[MathDL on Presentations |http://mathcomm.org/teaching-presentations/ ]]
*[[Technically Speaking - Class Examples |http://techspeaking.denison.edu/Technically_Speaking/Home.html ]]
* Videos from YouTube
**[[Life after Death by
Powerpoint |https://www.youtube.com/watch?v=kRIcD7v-Vm8 ]] (4min)
**[[Killer Presentations |https://www.youtube.com/watch?v=whTwjG4ZIJg ]] (7 min) and [[Conquering Death by PowerPoint |https://www.youtube.com/watch?v=itjSaEYDOgY]] (4min)
**[[How to avoid death By PowerPoint |https://www.youtube.com/watch?v=Iwpi1Lm6dFo ]] (20:31)
**[[How to Give Good Presentations |https://www.youtube.com/watch?v=AzsPgsHLNT0 ]] (3 min)
**[[How to Give a Bad Presentation |https://www.youtube.com/watch?v=qv99WqmswAE ]] (6 min)
**[[Don't Read From Your Slides |https://www.youtube.com/watch?v=rVKfz0J_mPA&feature=related ]] (4 min)
**[[What Do I Do With My Hands? |https://www.youtube.com/watch?v=DF1qXMBnI5M&feature=channel ]] (1 min)
**[[Walk, Stop, Talk |https://www.youtube.com/watch?v=Z3hae6jG1hs&feature=channel ]] (2min)
*[[ Advice on Giving Good Talk |https://www.d.umn.edu/~jgallian/goodPPtalk.pdf ]] ~PDF
*[[How To Present Mathematics To Non-Mathematicians|https://mathoverflow.net/questions/47214/how-to-present-mathematics-to-non-mathematicians]]
*[[How to talk to a non-specialist|https://www.nature.com/articles/s41567-021-01473-z]]
*[[Essential Presentation Skills|https://library.albright.edu/c.php?g=618992&p=4308186]]
* TED Talks to emulate
**[[ Mathematics |https://www.ted.com/topics/math]]
**[[Statistics |https://www.ted.com/topics/statistics]]
**[[ Physics |https://www.ted.com/topics/physics]]
**[[ AI |https://www.ted.com/topics/ai]] or [[Machine Learning|https://www.ted.com/topics/machine+learning]]
In this section are listed some resources on writing mathematics papers and presenting mathematics talks.
*[[MathDL on Writing Mathematics|http://mathcomm.org/writing/]]
*[[How to Write Mathematics|http://erickson.sites.truman.edu/files/2012/04/guide1.pdf]]
*[[Halmos on Writing Mathematics|http://www.stat.rice.edu/~riedi/HalmosWrite.rtf]]
*[[A guide to Writing Mathematics|http://www.cs.ucdavis.edu/~amenta/w10/writingman.pdf]]
*[[Writing a Research Paper in Mathematics|http://web.mit.edu/jrickert/www/mathadvice.html]]
*[[Write Right for Readers|http://www.maths.adelaide.edu.au/anthony.roberts/LaTeX/ltxwrite.php]]
*[[Mathematical Communication and Technology|http://www.math.tamu.edu/~Harold.Boas/courses/math696/index.html]]
*[[Tips on Writing Math Papers|www.impan.pl/EN/PubHouse/writing.pdf]]
Parts of a Paper
*For style, bibliography, etc see [[AMS Handbook|http://www.ams.org/publications/authors/tex/author-handbook]]
*Other Styles
**[[MAA|http://www.maa.org/publications/periodicals/american-mathematical-monthly]]
**[[Math Teacher Style|http://math.illinoisstate.edu/day/courses/old/223/citations.html]]
**[[NCTM Publications|http://www.nctm.org/publications/content.aspx?id=558]]
*[[Writing a Math Paper|http://simons-rock.campusguides.com/content.php?pid=145705&sid=1238914]]
*[[How to Write A Math Paper|www.math.lsa.umich.edu/courses/389/Resources/write1.pdf]] - New!
*[[MathSciNet|http://www.ams.org/mathscinet/help/citation_database_help_full.html]]
*[[How to Write an Abstract|http://www.uaf.edu/cnsm/ashsss/students/abstract_writing/]]
*[[Writing up researc|http://www2.edc.org/makingmath/handbook/teacher/presentingYourResearch/presentingYourResearch.asp]] - good outline, example
You might also check out the following at UNCW:
*[[Student Guide on Plagiarism|http://library.uncw.edu/guides/plagiarism_student_guide]]
*[[Avoiding Plagiarism|http://www.uncw.edu/ulc/writing/avoidplagiarism.html]]
*[[UNCW Writing Services|http://www.uncw.edu/ulc/writing/]]
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Evaluation of the paper will be based on the following set of expectations:
* ''Organization of Paper.''
** Title, author and a bibliography following a particular mathematics journal style.
** Paper length: ten to twelve pages, typewritten using LaTeX.
** Appropriate content.
** An introduction written for the a senior mathematics major clarifying the objectives and layout.
** The body of the paper should focus on the main point(s) and there should be logical transitions between concepts.
** The body of the paper should end with a conclusion that reviews the format of the paper and identifies any remaining questions and directions for future research.
** Cite references throughout paper according to an accepted mathematical journal style. [[Citations]]
* ''Understanding of the Mathematical Content.''
** Communicate key definitions, theorems and/or results accurately.
** Include appropriate examples to illustrate them.
** Demonstrate understanding how definitions and prior results are applied in the proof.
** Reproduce results or examples possibly with mathematics software.
* ''Attention to Audience Level.''
** Assume the reader has solid mathematical reasoning skills.
** Only assume a background in calculus and the fundamentals for doing proofs.
** Distinguish between concepts and results known to readers versus those which require explanation.
** Use good grammar, word usage, standard mathematical notation, layout, and style.
** Avoid mathematical notation errors that can interfere with the clarity of the paper.
Here are some of the previous research topics in MAT 495. See [[Dr. Herman's Topics]] for topics investigated by past students under Dr. Herman. (Yes, Dr. Herman can also advise a few student projects.)
!Spring 2025 Topics
*Mathematical Modeling of the ~Sleep-Wake Switch
*Copula based inference for certain types of actuarial datasets
*Perfect codes in circulant graphs of unrestricted degree
*Improving Deep Learning Models for Young Coral Classification
!Fall 2024 Topics
*Exploring Evolutionary Stability in ~Predator-Prey Dynamics with ~Game-Theoretic Models
*Optimizing Computer Virus Control: An Analysis of Modified ~SIR-UA Model
*Advancements in Image Segmentation: A Focus on the Segment Anything Model (SAM) for Coral Monitoring
*COMPUTATIONAL METHODS FOR SPATIAL TRANSCRIPTOMICS: A Bayesian Approach
*Tropical Cyclone Image Comparison Algorithm
*Estimating Student Vocabulary Size Via Multiple Item Response Theory Models
*Linear Regression Modeling: What has the biggest impact on baseball winning percentage?
*Extremal Problems in Bootstrap Percolation
!Spring 2024 Topics
*Graph Convolutional Networks and their Application with Community Detection
*Predicting Stock Market Data Using Time Series Techniques
*Great Walls of Water: The Pandemonium and Phenomena of Rogue Waves
!Fall 2023 Topics
*Compressed Sensing Decomposition of EDA Signals
*Markov switching multifractal (MSM) model
*Analyzing periodic solutions to the ~Fitzhugh-Nagumo Equation
*Analyzing the ”Disease” Characteristics of Online Public Opinion: A Study Based on the SEIR Model
*Modeling glioblastoma patient outcomes: A comparison of three statistical methods
!Spring 2023 Topics
*Exploring Education Level Disparities through Data Science Applications
*The Circular Restricted Three Body Problem and Applications to Astrodynamics
*Variation of SIR modeling with regards to ~COVID-19
*Exploring Special Points of Triangles using Technology
!Fall 2022 Topics
*Life Contingency Models
*Comparison of Multiple Treatments on Survival Time in Patients with Glioblastoma Multiforme
*Analysis of Radiotherapy on Different Forms of Cancer Utilizing Differential Equations
!Spring 2022 Topics
*Tidal Decomposition Using Fourier Transform
*Improving Implicit Neural Representations
*Statistical Modeling on Heart Disease
*Soap Films and Minimal Surfaces
*~Bi-Lipschitz Mapping on the Space of Orbits
!Fall 2021 Topics
*How Disease Outbreaks Influence Labor Market Models in America
*Optimization of Time Series Versus Machine Learning Algorithms in Regards to Historical Stock Data
*Machine Learning for Audio Classification
!Spring 2021 Topics
*Nonlinear Dynamics of the ~Emden-Fowler Equation
*Ordinal Logistic Regression for Modeling and Predicting Student Success
*Invariant Functions Separating Group Action in Vector Spaces
*Predictive Modeling of the NCAA Tournament with Machine Learning Algorithms
*The Possible Causes of Health Conditions Among Farm Workers in the U.S
!Fall 2020 Topics
*Sleep Disorders Effect on the Normal ~Sleep-Wake Cycle
*Linear Resolution ~p-Simulates General Resolution
*New Hanover County Housing Data Analysis
*~COVID-19: A Modern Day Pandemic
!Spring 2020 Topics
*Phylogenetic Trees Described through Mathematical Structures
*The Theorem of Menelaus and its Applications
*Optimizing Traffic Light Timings using Case by Case Models
* North Carolina 2-1-1 Call Center Data Analysis
*Mathematical Approach to Optics
!Fall 2019 Topics
*Properties of the Doubly Truncated Binomial Distribution
*Euler's Formula
*Mathematical Optimization in Game Theory Reasoning
*Modeling Weather Chaos
!Spring 2019 Topics
*Assessing ~Spatio-Temporal Variation in ~Leukemia-Specific Mortality Using Louisiana SEER Data
*Population models of sea turtles applying differential equations
*Set Covering
!Fall 2018 Topics
*The Mathematics of Chladni Plates
*~Lotka-Volterra predator-prey model for North Carolina ~Coyote-Deer populations
*Ramsey Theory
*Principal Component Analysis with Applications
*Truncated Cauchy Distribution: Properties and Applications
*Solution multiplicity in ~first-order nonlinear differential delay equations
!Spring 2018 Topics
*Platonic Solids
*Statistical Analysis and Actuarial Models of Drug Overdose Deaths in Connecticut
*Spirals of Mathematics
*Goodness of fit study regarding parametric absolutely continuous distribution fit to real life datasets in R
*Methods of Numerical Integration of Whitham’s ~F-Curve
*How Does Machine Learning Learn?
*~Zero-Inflated Poisson Regression Using R
!Fall 2017 Topics
*Comparing Numerical Methods for the ~Korteweg-de Vries Equation
*Modeling Displacement Due to Natural Disasters Using Differential Equations
*Application of Certain Bivariate Copulas in Modeling Insurance Data
*Calculating Rotation Groups of Platonic Solids
!Spring 2017 Topics
*Mathematical Analysis of European Starling Population Control and Economic Impacts in North Carolina
*Distribution of Zeros in Various Polynomials
*Cooperative and ~Non-Cooperative Strategy Game Theory in Campus Cultural Arts Involvements
*Application of Fourier Transforms in Quantum Mechanics & Diffraction Theory
*A New Family of Skew Symmetric Distribution: Formulation, Properties and Applications
!Spring 2015 Topics
*Efficient Primality Testing
*Forces Affecting the Flight of a Soccer Ball
*Analysis of a Periodically Driven Nonlinear Dynamical System
*Equity Modeling in Heads Up ~No-Limit Hold'em
*Solutions to the Friedmann Equations
*Knot Invariants: Tricolorability and the Kauffman Bracket Polynomial
*Math Meditation
*Actuarial Survival Models and The Life Table Format
*Applications of Factor Analysis on Combat Veterans
*Survival Analysis in the Theory of Life Contingency Models
*Chinese Checkers Geometry: An Exploration into a ~Non-Euclidean Geometry
*Population Dynamics
!Fall 2014 Topics
*Monte Carlo Methods in Medicine
*Multidimensional Scaling College Football Rankings
*Mathematical Model of The Ebola Virus
*On The Chaos in The Mandelbrot Set
*Latent Variable Modeling of Technology Acceptance
*The Aerodynamics of Soccer Balls
*Predicting Loggerhead Sea Turtle Egg Nests
*Nonnegative Matrix Factorization and its Applications
*Evaluating Baseball Players' Latent Ability Using Item Response Theory
*The Knapsack Encryption Problem: A Look Into Private and Public RSA Keys
*The ~Black-Scholes Model
*The Binomial Option Pricing Model
*Predicting Criminal Recidivism Using Logistic Regression
*Mathematical Model of the Tacoma Narrows Bridge Collapse
*Introduction to ~Time-Frequency Analysis and it's Applications to Music
!Spring 2014 Topics
*Option Pricing: The ~Black-Scholes Model
*Hurricane Modeling: The Beta and Advection Model
*Arbitrage Detection Using Linear Programming
*The Mechanics of Surfing
*Brownian Motion and Advanced Mathematical Finance
*The Chinese Remainder Theorem and its Applications
*Hamming Codes: ~Error-Correction, ~Error-Detection, and Computer Memory Protection
*Epidemic Modeling
*Quantitative Trait Loci (QTL) Analysis
*The Mathematics of LEGO Bricks
*Neural Network Models in Statistical Learning
*Quantum Chemical Applications: The Wave Functions of the Hydrogen Atom
*WAR: Baseball’s Best Statistic
!Fall 2013
*Discriminant Analysis with Applications in Face Recognition
*Random Forest for Variable Selection with an Application in Genetics
*Prime Numbers
*The Crossing Number of K9,9
*The Duffing Equation: The Path to Chaos and Its Applications
!Spring 2013
*Population and Harvesting Dynamics of North Carolina's Fisheries for Striped Bass and Atlantic Menhaden
*Shallow Water Wave Modeling The Boussinesq Approximation, and Bathymetric Design
*Global Warming: Our Melting Arctic Statistical Analysis of Melting Trends
*Solitons, Solutions to Nonlinear ~PDEs
*Combinatorial Game Theory
*A Reaction Diffusion Model for Cell Invasion
*A Mathematical Approach to the Fairness of Cake Cutting
*Kernel Density and Bandwidth Selection
*The Lagrange Multiplier
*Modern Applications of Cluster Analysis
*U.S. Oil Production: Hubbert's Peak and the Logistic Equation
*Player Efficiency Rating: Determining Who is the Greatest Ever?
*Determination of Lagrange Areas in ~Two-Bodied Celestial Space
*Examination Scheduling with Graph Coloring
*China's Economy - a Modified Predator Prey Model
*Game Theory in Economics
*Population Modeling
!From Fall 2011 to Spring 2012
*Signal Analysis and Frequency Distributions of Audio
*Perfect Numbers
*Taxicab or Projective Geometry
*Alternative Proofs of Irrationality of Famous Numbers
*Can You Hear the Shape of a Drum?
*The Bending of a Fly Fishing Rod
*Vehicle Routing
*Use of Markov Chains in Phylogenetic Analysis
*Nonparametric Stats
*Statistics in Sports
*Modelling Drumheads with ~PDEs
*Ridge Regression
*GPS
*Pigeonhole Principle with intro to Ramsey Theory
*Gambling and the Probability of Getting the Right Cards|
*Knots|
*The Tear Film in a Blink
*~ElGamal Signature Scheme
*The Monte Carlo Method: An Application to Medical Physics
*Cryptography in Communication
*Soccer Aerodynamics
*The Fibonacci and Lucas Numbers
*Application of Game Theory in Agricultural Economics|
*The Pythagorean Expectation and its Application in the "NFL"
*Romeo and Juliet
*Random Number Generators
!Mid to Late 2007-2009
*The Examination and Use of the Binomial and the ~Black-Scholes Option Pricing Models
*Motions of Asteroids in Resonance: Explaining Kirkwood Gaps
*The Problem A = mP for Triangles
*Authorship and Separating Hyperplanes
*Group Applications in Cryptography
*The Dinitz Problem
*Secure Communications
*Fermat's Last Theorem
*Cryptography
*Sampling Theory with Applications using MATLAB
*An Analysis of the ~Hilbert-Huang Transformation and its Applications
*~Non-Unique Factorization
*~Public-Key Cryptography
*Modifying ~Runge-Kutta to Better Solve ~First-Order Differential Equations
*The Traveling Salesman Problem
*Introduction to Chaos Theory
*Whist Tournaments in Brief
*Applying Robust Regression to ~Returns-Based Style Analysis
*The Application of Game Theory to Global Counterterrorism
*The Mathematics of Cryptology
Evaluation of the poster will be based on these expectations:
* ''Organization of Poster.''
** Provide a title that is informative, inviting, and of adequate length.
** Provide your name, your advisor’s name, MAT 495, possibly UNCW logo.
** Begin with problem statement, capture audience interest, and make objectives clear.
** Have an identifiable body of the poster, focusing on key points, methods, and results.
** End with definite conclusions and provide references.
* ''Layout.''
** Use good fontsize, especially paying attention to captions and graph labels.
** Do not crowd the poster with long sentences and paragraphs.
** Use color schemes that are easy to read.
** The poster should flow from problem statement on top left to conclusion and references on the bottom right.
** Prepare posters that are easily read from several feet away;
*** are simple, uncluttered and designed to help communicate the main points.
*** use good grammar, word usage, standard notation, layout, and style.
*** avoid notation errors that can interfere with the clarity of the poster.
** Use appropriate graphics effectively.
* ''Content.''
** Communicate key definitions, experiments and/or results accurately. Provide content suitable for experts and non-experts.
** Provide sufficient scientific explanations, leaving some for the interviews.
** Include appropriate examples to illustrate key ideas.
** Clearly indicate what is your work and what is not.
* ''Interviews.''
** Be prepared with a short description of your work for non-physicists..
** Be prepared to describe your work in under 10 minutes with the aid of just the poster.
** Maintain eye contact during the interview and include present.
** Aim for audience understanding. What will they take away from your poster?
** Demonstrate understanding how definitions and prior experiments/results are used.
** Respond appropriately to questions during the interview, treating all questions and questioners with respect.
** Dress appropriately.
Evaluation of the oral presentation will be based on the following set of expectations:
* ''Organization.''.
** Begin with an introduction, capture audience interest, and to make objectives clear..
** Have an identifiable body of the talk, focusing on the main points and making logical transitions between them.
** End with a conclusion, accentuating the talk layout and identifying related questions or directions for future study.
** Adhere to the 35-45 minute time allotment.
* ''Consideration of the audience.''
** Assume the reader has solid mathematical reasoning skills.
** Only assume a background in calculus and the fundamentals doing proofs.
** Distinguish between concepts and results known to readers versus those which require explanation.
** Maintain eye contact during the presentation and include everyone in the audience.
** Aim for audience understanding. What will they take away from your talk?
** Respond appropriately to questions during the question and answer period.
** Treat all questions and questioners with respect.
** Do not read to the audience.
** Dress appropriately.
* ''Understanding of the mathematical content.''
** Communicate key definitions and results accurately.
** Include appropriate examples to illustrate them.
** Demonstrate understanding how definitions and prior results are applied in the proof.
** Use mathematics software appropriately to reproduce results or examples
* ''Deliver a clear and professional talk.''
** It is crucial that the audience understand the main points of the presentation. This is far, far more important than coverage of a large amount of material from the paper.
** Use good judgment in narrowing the scope of the paper for the presentation to achieve this purpose.
** Can the audience go home and complete a reasonable homework assignment at the level you would be able to do after a class lecture?
** Use good judgment in deciding how to best present the ideas inherent in the presentation, and use forms of media support, including projected computer output, as appropriate. Weigh the advantages and disadvantages of using an overhead slide, a physical model, a computer presentation, etc.
** Use of the whiteboard, while not prohibited, should be kept to an absolute minimum.
** Prepare presentations that
*** are easily read from any place in the seminar room;
*** are simple, uncluttered and designed to help communicate, review and relate main points.
*** use good grammar, word usage, standard notation, layout, and style.
*** avoid mathematical notation errors that can interfere with the clarity of the paper.
** Reference/Cite all content appropriately
There are several formats for presentations. The most commonly used software on campus is Microsoft ~PowerPoint. However, in this class we will use [[Beamer|BeamerTemplate]] to produce slides with better typeset mathematics. The usual rules for giving talks applies no matter what your medium.
No matter what slide style one adopts (transparencies or electronic) there are basic rules that one should consider.
!Giving a Talk
*[[MathDL on Presentations|http://mathcomm.org/teaching-presentations/]]
*[[Pointers on Giving a Talk|http://www.eecs.berkeley.edu/~messer/Bad_talk.html]]
*[[How to Give a Presentation in Class|http://www.wikihow.com/Do-a-Presentation-in-Class]]
*[[What Makes a Good Math Presentation?|https://www.google.com/#q=what+makes+a+good+math+presentation]] - a Google search
!Do's and Don't's
*Videos from [[YouTube|http://www.youtube.com]]
**''[[Boring People to Death with Your PowerPoint|http://www.youtube.com/watch?v=NQgmc8dBSSk&feature=related]]''
**''[[Killer Presentations|http://www.youtube.com/watch?v=whTwjG4ZIJg]]''
***More of [[Conquering Death by PowerPoint |http://www.youtube.com/watch?v=itjSaEYDOgY]]
**''[[How to Give Good Presentations|http://www.youtube.com/watch?v=AzsPgsHLNT0]]''
**[[How to Give a Bad Presentation|http://www.youtube.com/watch?v=qv99WqmswAE&feature=related]] (6 min)
**[[Terri Sjodin: Power Point Presentations |http://www.youtube.com/watch?v=hKv_s6WMc1U&feature=related]]
**[[Don't Read From Your Slides|http://www.youtube.com/watch?v=rVKfz0J_mPA&feature=related]]
**''[[What Do I Do With My Hands?|http://www.youtube.com/watch?v=DF1qXMBnI5M&feature=channel]]'' and [[Walk, Stop, Talk|http://www.youtube.com/watch?v=Z3hae6jG1hs&feature=channel]]
*''[[Technically Speaking|http://techspeaking.denison.edu/Technically_Speaking/Home.html]]''
*''[[Advice on Giving a Good Presentation|http://www.d.umn.edu/~jgallian/goodPPtalk.pdf]]''
*''[[Oral Presentation Skills|http://people.engr.ncsu.edu/txie/publications/oral_presentation_skills.pdf]]''
!Showing Mathematics in Slides
It is also possible to create slides using LaTeX. Here are a few links with some examples of what can be done using LaTeX plus some addtional style files. If there is time in the course, we will see how this can be done. //More information is posted at the [[LaTeX pages|http://people.uncw.edu/hermanr/latex/#Presentations]].// ''Propser'' is a relatively easy way to prepare slides that look like ~PowerPoint and ''Beamer'' is a bit more complex, giving slick output. In both cases the compiled pages are rendered in PDF and can be shown on computers without the aid of LaTeX. Perhaps the simplest method is to use [[TeX4PPT|http://users.ecs.soton.ac.uk/srg/softwaretools/presentation/TeX4PPT/]]. However, it has not been updated for ~PowerPoint 2007.
*[[TeX4PPT|http://users.ecs.soton.ac.uk/srg/softwaretools/presentation/TeX4PPT/]]
*[[Making Presentations with LaTeX and Prosper|http://freshmeat.net/articles/view/667/]], *[[Screenshots|http://prosper.sourceforge.net/screenshots-prosper.html]], *[[Tutorial|http://heather.cs.ucdavis.edu/%7Ematloff/prosper.html]], [[An annotated example|http://people.uncw.edu/hermanr/latex/#Prosper2]]
*[[Beamer LaTeX Class|http://latex-beamer.sourceforge.net/]], [[Tutorial|http://heather.cs.ucdavis.edu/%7Ematloff/beamer.html]], [[more examples|http://people.uncw.edu/hermanr/latex/#Beamer]]
*[[TeXPoint|http://texpoint.necula.org/index.html]] - 30 day trial
*[[More packages|http://www.miwie.org/presentations/presentations.html]]
!LaTeX Examples
*Prosper Examples [[searcde06.pdf|http://people.uncw.edu/hermanr/documents/searcde06.pdf]], [[ProsperEx|http://people.uncw.edu/hermanr/latex/prosper.pdf]]
*Beamer Examples [[Series Talk|http://people.uncw.edu/hermanr/latex/SeriesTalk.pdf]], [[BeamerEx|http://people.uncw.edu/hermanr/latex/beamerex2.pdf]]
!More Links
*[[The Paradox of Proof|http://projectwordsworth.com/the-paradox-of-the-proof/]]
*[[How-to-present-mathematics-to-non-mathematicians|http://mathoverflow.net/questions/47214/how-to-present-mathematics-to-non-mathematicians]]
*[[The Unreasonable Effectiveness of Mathematics|http://www.dartmouth.edu/~matc/MathDrama/reading/Hamming.html]]
*[[Useful ~LaTeX guide|http://web.mit.edu/rsi/www/pdfs/advmath.pdf]]
*[[Microsoft Word 2007: Equation Editor|http://www.youtube.com/watch?v=rUrVUhcWLnQ&feature=related]] - not for MAT 495
Finding a topic for a senior seminar can be scary at first thought. You need to do a little research. In some cases a student might already have a topic in mind. Sometimes it is a matter of thinking about an unexplored topic from a previous class. Or you could seek out one of your favorite teachers to make some suggestions. You could even look on the Internet or in some journals devoted to teaching mathematics. No matter what your approach, you need to settle on a problem which extends beyond your coursework and it must be something that you will enjoy exploring. The more you get into your research topic, the better the final product.
!Past Topics
If you want to see some previous topics done in MAT 495 go to the [[Past Projects]] link. You can also check out [[Dr. Herman's Topics]] (or [[Topics|http://people.uncw.edu/hermanr/students.htm#Seniors]]) that my students had worked on in the past.
!Journals
You can look through journals online or in the library. If you do well, you might even consider submitting to a journal! At least you might find some ideas in these journals. Checking The American Mathematical Monthly, Mathematics Magazine, etc can lead you to interesting topics to explore. You want to be interested in what you are spending a whole semester researching. The more you put into this, the more successful you will be. Once you have a topic, then you can find someone to work with you on that topic.
! TED Talks
*[[Fractals and the art of roughness|http://www.ted.com/talks/benoit_mandelbrot_fractals_the_art_of_roughness]]
*[[The fractals at the heart of African designs|http://www.ted.com/talks/ron_eglash_on_african_fractals]]
*[[How big is infinity?|http://ed.ted.com/lessons/how-big-is-infinity]]
*[[How juries are fooled by statistics|http://ed.ted.com/lessons/peter-donnelly-shows-how-stats-fool-juries]]
*[[Symmetry, reality's riddle|http://ed.ted.com/lessons/marcus-du-sautoy-symmetry-reality-s-riddle]]
*[[Why I fell in love with monster prime numbers|http://www.ted.com/talks/adam_spencer_why_i_fell_in_love_with_monster_prime_numbers]]
!Sources of Topics for Undergraduate Research
*[[Journal from Rose-Hulman|http://www.rose-hulman.edu/mathjournal/index.php]]
*[[Journal at Furman|http://math.furman.edu/~mwoodard/fuejum/welcome.html]]
*College Mathematics Journal of the MAA http://www.maa.org/pubs/cmj.html
*Mathematics Magazine of the MAA http://www.maa.org/pubs/mathmag.html
*American Mathematics Monthly of the MAA http://www.maa.org/pubs/monthly.html
*Quantum: The Magazine of Math and Science http://www.nsta.org/quantum/
*DIMACS: Center for Discrete Mathematics and Computer Science - Open Problems for Undergraduates http://dimacs.rutgers.edu/~hochberg/undopen/
!Other Topic Lists
Google other schools for topics, such as
*[[http://www.reed.edu/~jones/math.theses.html|http://www.reed.edu/~jones/math.theses.html]]
Also check out topics from [[''Mathematics Awareness Month''|https://ww2.amstat.org/mathstatmonth/]] - In 2025 it was ''[[Mathematics and Statistics Awareness Month|https://ww2.amstat.org/mathstatmonth/]].''
!More Links
*[[Pacific University|http://www.pacificu.edu/as/math/seniorcapstone/]]
*[[Virginia Tech|https://www.math.vt.edu/ugResearchProjects.php]]
*[[University of Maryland|http://www-math.umd.edu/undergraduate/opportunities.html?id=103]]
*[[Bard Digital Commons|http://digitalcommons.bard.edu/sr_proj_math/]]
Here is a sample proposal written in LaTeX. [[PDF|project-proposal-template.pdf]], [[LaTeX file|project-proposal-template.tex]],
The preamble contains added lines which sets up the page layout. Also, there are lines to be edited for your particular project. Furthermore, you should note how the bibliographic references are embedded in the paper and the use of \cite to do citations.
{{{
%%%% Template for Seminar Project Proposal
\documentclass[letterpaper,10pt]{article}
%% set page geometry
\pdfpagewidth 8.5in
\pdfpageheight 11in
\setlength\topmargin{0in}
\setlength\headheight{0in}
\setlength\headsep{0in}
\setlength\textheight{8in}
\setlength\textwidth{6.5in}
\setlength\oddsidemargin{0in}
\setlength\evensidemargin{0in}
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\def\semester{Spring 2013}
\def\project_topic{On the Electrodynamics of Moving Bodies}
\def\student_investigator{Albert Einstein}
\def\faculty_advisor{Dr. R. L. Herman}
\begin{document}
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\noindent MAT 495. Seminar in Mathematics \hfill Project Proposal \\
\noindent UNCW Mathematics and Statistics \hfill \semester \par
\begin{center}
{\LARGE \textbf{ \project_topic } \par}
\bigskip
{\large Student Investigator: \student_investigator} \\
\bigskip
{\large Faculty Advisor: \faculty_advisor}
\end{center}
\thispagestyle{empty}
\section*{Motivation}
Since I was very young, I have always been fascinated with light. I thought about what would happen to my reflection in a mirror as I moved close to the speed of light. Would I see my reflection? What does Maxwell's theory of electromagnetic waves predict?
\section*{Literature Review}
This investigation will be based on the works of James Clerk Maxwell \cite{maxwell} and Isaac Newton \cite{newton}. In \cite{maxwell} Maxwell introduces the equations of electricity and magnetism in one complete theory. Newton had already presented in his {\it Principia} the laws of classical motion and gravitation \cite{newton}.
\section*{Problem to be Addressed}
In this project I will reconcile Maxwell's equations for electricity and magnetism with the laws of mechanics by introducing major changes to mechanics close to the speed of light.
%%% Enter your bibliography following the examples shown here.
\begin{thebibliography}{99}%% The 99 gives the width of the label
\bibitem{newton} I. Newton,
\emph{Philosophiae Naturalis Principia Mathematica},
New York: Viking,
1958.
\bibitem{maxwell} J. C. Maxwell,
\emph{A Dynamical Theory of the Electromagnetic Field},
Philosophical Transactions of the Royal Society of London,
155 (1865) pp. 459–512 .
\end{thebibliography}
\end{document}
}}}
Dr. Russell L. Herman,
Assistant Chair and Undergraduate Coordinator
Professor, Mathematics and Statistics
Professor, Physics and Physical Oceanography
UNC Wilmington, Wilmington, NC, 28403-5606
<<
Recipient of several teaching awards, I've taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, history of mathematics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, Fourier analysis, Laplace transforms, asymptotics, mathematical physics, chaos and dynamical systems, and history of mathematics.
<<
|!Month |!Day |!Class Topic |! Deadlines |
|Aug |20 |Research Topics | |
| |22 |Intro to LaTeX | |
| |25 |Math in LaTeX |First LaTeX Assignment |
| |27 |Communication in Math and Science |Advisor/Topic |
| |29 |Report Topics/More LaTeX| |
|Sep |1 |Holiday| |
| |3 |Figures/What is an Abstract?|Official [[Topic Proposal|Project Proposal Template]] with Literature List |
| |8 |Writing Well in Math/Stat |Reproduce the [[Math Expressions|MathExpressions.pdf]]|
| |10 |Intro to Beamer||
| |12 |Oral Reports |Oral Progress Report |
| |15 |Writing the Introduction|Draft Abstracts Due |
| |17 |How to Deliver Presentations| |
| |19 |AI Literacy| |
| |22 |Adding History and Graphics| |
| |24 |The Body of the Paper |Draft Introduction Due |
| |26 |1st Presentations |Begin First 15 slides |
| |29 |1st Presentations | |
|Oct |1 |Citations and Bibliography | |
| |3 |How to Critique Talks | |
| |6 |Creating Posters | |
| |8 |Posters in LaTeX | |
| |9 |Fall Break | |
| |10 |Fall Break | |
| |13 |Proofs and Derivations | |
| |15 |What Did We Learn? | |
| |17 |Poster Practice | |
| |20 |Poster Practice | |
| |22 |2nd Presentations |Begin Next 30 slides |
| |24 |2nd Presentations |Draft Abstract, Introduction, Body, Bibliography |
| |27 |2nd Presentations | |
| |29 |More on AI | |
| |31 |TBA | |
|Nov |3 |TBA | |
| |5 |TBA |Email Final Title, Abstract, and Bio |
| |7 |Poster Presentation ||
| |10 |Poster Presentation | |
| |12 |Poster Presentation | |
| |14 |3rd Presentations |Full Presentation Practice |
| |17 |3rd Presentations |Draft Paper Due |
| |19 |3rd Presentations | |
| |21 |3rd Presentations | |
| |24 |3rd Presentations | |
| |26 |Thanksgiving | |
| |27 |Thanksgiving | |
| |28 |Thanksgiving | |
|Dec |1 |Final Presentations | |
| |3 |Final Presentations |Final Paper Due |
| |8 |Final Slot - 11:30-2:30| |
This schedule might be updated once the class size has been established since it depends on the number of students enrolled. It is possible that additional classes might be scheduled near the end of the semester in order to accommodate the class size and get in enough practice presentations.
<<tabs txtMainTab "Timeline" "Timeline" TabTimeline "All" "All tiddlers" TabAll "Tags" "All tags" TabTags "More" "More lists" TabMore>>
investigations of topics in mathematics
''MAT 495 Syllabus''
''Instructor:'' Dr. R. Herman
''Prerequisite:'' 9 semester hours of mathematics courses at the 300-400 level.
''Course Description:'' See [[Course Description]]
''Course Goals:''
The broader goals of the course are provided under the Student Learning Objectives [see [[Course Description]]]. Students will gain experience in working on their own outside the classroom, carefully reading and understanding mathematical literature, organizing and writing a mathematical paper, and giving a mathematical talk. The student will chose a paper in the mathematics literature in line with the student's background and under the supervision of a member of the department (referred to here as the //advisor//). Students will make use of and synthesize knowledge from their previous course work. They will demonstrate these goals while learning to communicate mathematical ideas as they revise both their paper and presentation. Students will learn to make appropriate use of research articles and library resources including citations of work used.
''The Timeline:''
Each student in the Senior Seminar will work under a faculty member who will serve as the student's content advisor and will also work with the MAT 495 instructor, who is ultimately responsible for student grades. Since students are expected to work on their paper and presentation consistently throughout the semester, they will be evaluated on how well they adhere to the [[Time Table]].
''Method of Evaluation:''
Your grades will be based upon your paper, presentation, punctuality in completing all assigned work, and attendance. Evaluation of both the written paper and the oral presentation will be conducted by the instructor and the advisor. An additional faculty member present at the talk may also be called upon for input. These evaluations will be based on the criteria described in the sections [[Paper]] and [[Presentation]]. Presentations significantly less than 30 minutes will not receive an A. The student is also expected to adhere to the course schedule which is tentatively provided under the [[Time Table]] and responsibilities outlined above.
Your final grade will be based on the following:
|''Presentation''| |
| Draft|15%|
| Final|25%|
|''Paper''| |
| Draft|10%|
| Final|15%|
|''Class Work''|15%|
|''Attendance''|10%|
|''Adherence to Schedule''|10%|
''Attendance Policy:''
Students are required to meet with the instructor on the assigned dates (as well as at any other mutually arranged times) and to attend all classes and student presentations. Students are also expected to meet with their advisor several times a month throughout the term. Failing to meet any of these requirements may be grounds for receiving an F in this course.
''Student Responsibilities:''
* Read and understand the chosen article and related papers, the number depending on the difficulty of the original article. The chosen research topic should be acceptable to both the advisor and the MAT 495 instructor. Formal approval will need to be granted early in the semester.
* Write a research paper on the chosen topic. The body of the paper should be approximately twelve to fifteen typewritten pages using LaTeX. All papers must have a title, an abstract, an introduction, a conclusion, and a bibliography.
* Provide the instructor and advisor the rough draft and the final draft of the paper according to the [[Schedule]]. Students are expected to make all suggested revisions.
* Provide the instructor with the presentation title and abstract of at most fifty words according to the [[Schedule]].
* Do several draft presentations in class, at least one draft presentation with the advisor and several practice presentations during the two weeks prior to the public presentation. Use any suggestions from these sessions to improve the final presentation.
* Present the final 35 to 45 minute presentation at the scheduled time and preside over a question-discussion period of 5-10 minutes immediately following.
* Attend and participate in each of the class presentations and provide requested written evaluations of each.
* Adhere to all deadlines!
* Turn in electronic copies of the final paper and all presentations.
''Academic Honor Code''
Students are expected to adhere to the UNCW Honor code found at [[http://www.uncw.edu/odos/honorcode/|http://www.uncw.edu/odos/honorcode/]]. In particular, you will become familiar with what plagiarism is, as this is one from of academic dishonesty which is covered by the code.
''Student Disabilities''
UNCW Disability Services supplies information about disability law, documentation procedures and accommodations that can be found at [[http://uncw.edu/disability/|http://uncw.edu/disability/]]. To obtain accommodations the student should first contact Disability Services and present their documentation to the coordinator for review and verification.
''Campus Respect Compact''
UNCW has a Respect Compact to affirm our commitment to a civil community, characterized by mutual respect. That Compact is affixed to the wall of each classroom and can be accessed at: [[http://uncw.edu/diversity/documents/ApprovedSeahawkRespectCompact8x10.08.09.pdf |http://uncw.edu/diversity/documents/ApprovedSeahawkRespectCompact8x10.08.09.pdf]].
''Acknowledgment''
Some ideas for this site were originally adapted from the [[Berea College Syllabus|http://community.berea.edu/mathandcomputerscience/sensem/SenSemSyl.html]].
A tentative [[Schedule]] for the class and deadlines for working on your paper and presentation has been provided. Students should note all dues dates which are also listed under [[Assignments]]. A general time table follows:
As soon as possible, students will meet with their advisor and will select a topic. By the second meeting with the advisor, they will select their primary resource(s). After that time ''students are expected to meet at least weekly with their advisor'', going over background materials and reading, analyzing, and understanding the selected paper(s). Part of your grade will be based upon input from your advisor as to how often you met, how you carried through with the project, and your final presentation.
The student will present the topic proposal and name their advisor by the ''fourth class meeting''. At the ''sixth class meeting'' they will present a written and detailed description of the research topic. At the next class meeting the student will provide a list of primary resources and orally describe their research topic. The main resource should be a mathematical publication, or preprint, acceptable to both the advisor and instructor. The topic should be of sufficient depth, going beyond what is typically covered in coursework.
Students are expected to meet the deadline for the first draft of the paper to be turned in to the course instructor. After making the needed revisions, students will give a copy to both the instructor and advisor. Students may receive additional corrections and are to make the corrections and deliver the final paper to the instructor.
After completing their papers, students in the Seminar will complete their presentations. They will submit the presentation title and abstract for the presentation when asked before the presentation in consultation with the advisor and instructor. Students will give two introductory talks, using at least 15 prepared slides for the first talk. This should include a title page, a bibliography, a statement of the problem, and some background and history.
The second presentation will follow a few weeks later. These presentations should have at least 30 slides. Final classroom drafts will be presented near the end of the semester. At these designated times the students will practice their talks in front of the class and instructor. (Depending upon class size, additional time outside of class may need to be scheduled.) Any suggested revisions should be made after each presentation. It is advised that students practice the final presentation several times with their advisor as well as practicing without any faculty member present.
''Every student enrolled in MAT 495 must attend all final presentations.'' The final presentations will be open to students, faculty, and the public. Dates will be selected so that all members of the class, the instructor, and the advisor can be present. The schedule for the talks will be announced at least a week before the presentations.
[[Syllabus]] | [[Time Table]] | [[Schedule]] | [[Assignments]] | ''[[Handout|http://people.uncw.edu/hermanr/mat495/#Syllabus%20%5B%5BTime%20Table%5D%5D%20Schedule%20Assignments%20Paper%20Presentation]] - [[PDF|SyllabusS15.pdf]]'' | ''[[ Advisor/Advisee Agreement|mat495worksheet.pdf]]''
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[[TiddyWiki|http://www.tiddlywiki.com/]] was first released on 20th September 2004. The Seminar in Mathematics course, MAT 495, for the [[Mathematics and Statistics Department|https://uncw.edu/academics/colleges/cse/departments/math-statistics/]] at [[UNC Wilmington|http://www.uncw.edu]] was created in August 2006 and last edited in 2015. The current pages were revised in 2025.