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<!DOCTYPE html>
<html>
<head>
<title>Vrbik/Grey literature</title>
<link rel="stylesheet" type="text/css" href="css/global.css"></link>
<link rel="stylesheet" type="text/css" href="css/slider.css"></link>
<link href='https://fonts.googleapis.com/css?family=Open+Sans:400,300,600,800,700,100' rel='stylesheet' type='text/css'></link>
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<link href='https://fonts.googleapis.com/css?family=Vollkorn:400,700' rel='stylesheet' type='text/css'>
</head>
<body>
<div id="Wrapper">
<div id="Logo"></div>
<div id="Name">Paul Vrbik</div><br>
<div id="Uni">>>Mathematician, programmer, and educator.</div>
<div id="NavBar">
<ul>
<li><a href="index.html">home</a></li>
<li><a href="publications.html">research</a></li>
<li><a href="teaching.html">teaching</a></li>
<li><a href="notes.html">notes</a></li>
<li><a href="pdfs/vrbik_cv.pdf">cv</a></li>
<li><a href="contact.html">contact</a></li>
</ul>
</div>
<div style="clear: both;"> </div>
<div id="NotFrontPage">
<h1>Long Form Writing</h1>
<ol>
<li>An Informal Derivation of the Standard Model of Computaiton <a href="pdfs/FoundationsOfComputerScience.pdf">[pdf]</a></li>
<li>Computing Intersection Multiplicity via Triangular Decomposition <a href="pdfs/VrbikDiss.pdf">[pdf]</a></li>
<li>Mathematical Discovery 1 <a href="pdfs/LectureNotes/Math1210.pdf">[pdf]</a></li>
<li>Mathematical Discovery 2 <a href="pdfs/LectureNotes/Math1220.pdf">[pdf]</a></li>
<li>Calculus of Science and Engineering <a href="pdfs/LectureNotes/Math2310C.pdf">[pdf]</a></li>
<li>Logic and Set Theory <a href="pdfs/LectureNotes/Math3010.pdf">[pdf]</a></li>
</ol>
<h1>Random Notes</h1>
<ol>
<li>The Truncated Fourier Transform (trying to publish) <a href="pdfs/TFT.pdf">[pdf]</a></li>
<li>Notes for Lifting Techniques (for CS 9556a) <a href="pdfs/LiftingTechniques.pdf">[pdf]</a></li>
<li>Visualizing Homotopy Continuation (for AM 9509) <a href="pdfs/FinalPaper.pdf">[pdf]</a></li>
<li>Justification for the inverse discrete fourier transform (for CS 9556a) <a href="pdfs/invDFT.pdf">[pdf]</a></li>
<li>Braid Words (for MATH 4T03) <a href="pdfs/braid_words.pdf">[pdf]</a></li>
<li>Solving the Word Braid Problem (for MATH 4T03) <a href="pdfs/wordbraid.pdf">[pdf]</a></li>
<li>Evariste Galois (for MATH 3Z03) <a href="pdfs/galois_history.pdf">[pdf]</a></li>
<li>From Counting To Qubits (for MATH 3Z03) <a href="pdfs/countingToQubits.pdf">[pdf]</a></li>
<li>Five Things In Math I find Beautiful (for MATH 3Z03) <a href="pdfs/5things.pdf">[pdf]</a></li>
<li>Galois Theory - Cheat Sheet <a href="pdfs/QuickGaloisGroups.pdf">[pdf]</a></li>
<ol>
<h1>Learning</h1>
<h2>Solutions</h2>
<ol>
<li>MATH 4B03 (Manifold Calculus) - Practice Exam <a href="Notes/4b3_practice.pdf">[questions]</a> <a href="pdfs/manifoldsolutions.pdf">[solutions]</a></li>
<li>MATH 4EE3 (Galois Theory) - Assignment 2 (embedded questions) <a href="pdfs/galois.pdf">[pdf]</a></li>
<li>MATH 3A03 (Analysis) - Practice Exam <a href="pdfs/3aa3solutions.pdf">[pdf]</a></li>
<ol>
<h2>Operating Systems (<a href="http://www.csd.uwo.ca/courses/CS3305b/">CS 3305b</a>)</h2>
<p>Textbook : <i>Operating Systems: Design and Implementation</i> (Andrew S. Tanenbaum and Albert S. Woodhull) <a href="http://www.amazon.ca/gp/product/0136006639/ref=s9_simvh_gw_p14_i3?pf_rd_m=A3DWYIK6Y9EEQB&pf_rd_s=center-4&pf_rd_r=1594KMATMG9FA2XCV8RF&pf_rd_t=101&pf_rd_p=463383551&pf_rd_i=915398">[amazon]</a></p>
<ol>
<li>Assignment 1 <a href="classes/CS3331/A01.pdf">[questions]</a> <a href="classes/CS3331/A01.c">[code]</a></li>
<li>Assignment 2 <a href="classes/CS3331/A02.pdf">[questions]</a> <a href="classes/CS3331/SolA02.pdf">[pdf]</a></li>
<li>Assignment 3 <a href="classes/CS3331/A03.pdf">[questions]</a> <a href="classes/CS3331/PressConference.c">[code]</a></li>
<li>Assignment 4 <a href="classes/CS3331/A04.pdf">[questions]</a> <a href="classes/CS3331/simulator.c">[code]</a></li>
</p>
</ol>
<h2>Foundations of Computational Algebra (<a href="http://www.csd.uwo.ca/~eschost/Teaching/09-10/CS4424a/">CS 9556a</a>)</h2>
<p>Textbook : <i>Modern Computer Algebra</i> (von zur Gathen and Gerhard) <a href="http://www.amazon.ca/Modern-Computer-Algebra-Joachim-Gathen/dp/0521826462/ref=sr_1_1?ie=UTF8&s=books&qid=1254448093&sr=8-1">[amazon]</a></p>
<ol>
<li>Assignment 1 <a href="pdfs/A01.pdf">[questions]</a> <a href="classes/CS9556/ass01/writeup/CS9556A01.pdf">[submission]</a></li>
<p>Code <b>·</b>
karatsuba <a href="classes/CS9556/ass01/q01.mpl">[mpl]</a> <b>·</b>
FFT, invFFT <a href="classes/CS9556/ass01/q02.mpl">[mpl]</a> <b>·</b>
</p>
<li>Assignment 2 <a href="classes/CS9556/ass02/A02.pdf">[questions]</a> <a href="classes/CS9556/ass02/CS9556A02.pdf">[submission]</a></li>
<p>Code <b>·</b>
<a href="classes/CS9556/ass02/q01.mpl">q01.mpl</a> <b>·</b>
<a href="classes/CS9556/ass02/q02.mpl">q02.mpl</a> <b>·</b>
<a href="classes/CS9556/ass02/q02.mpl">q03.mpl</a> <b>·</b>
</p>
<li>Assignment 3 <a href="classes/CS9556/ass03/Q03.pdf">[questions]</a> <a href="classes/CS9556/ass03/A03.pdf">[submission]</a></li>
<p>Code <b>·</b>
<a href="classes/CS9556/ass03/q01.mpl">q01.mpl</a> <b>·</b>
<a href="classes/CS9556/ass03/q03.mpl">q03.mpl</a> <b>·</b>
</p>
<li>Project (The Truncated Fourier Transform) <a href="classes/CS9556/project/CompAlgPres.pdf">[slides]</a> <a href="classes/CS9556/project/TFT.pdf">[project]</a></li>
<p>Code <b>·</b>
<a href="classes/CS9556/project/TFT.mpl">TFT.mpl</a> <b>·</b>
<a href="classes/CS9556/project/FFT.mpl">FFT.mpl</a> <b>·</b>
<a href="classes/CS9556/project/common.mpl">common.mpl</a> <b>·</b>
</p>
</ol>
<h2>Computational Algebraic Geometry (<a href="http://www.cecm.sfu.ca/personal/monaganm/teaching/MATH439/index.shtml">MATH 819</a>)</h2>
<p>Textbook : <i>Ideals, Varieties, and Algorithms</i> (Cox, Little, O'Shea) <a href="http://www.amazon.ca/Modern-Computer-Algebra-Joachim-Gathen/dp/0521826462/ref=sr_1_1?ie=UTF8&s=books&qid=1254448093&sr=8-1">[amazon]</a></p>
<p><b>key</b> c01s02q03 means Chapter 1 Section 2 Question 3 (of textbook)</p>
<ol>
<li>Assignment 2 <a href="http://www.cecm.sfu.ca/personal/monaganm/teaching/MATH439/AS2.txt">[questions]</a>
<br> Code <b>·</b>
<a href="classes/MATH819b/ass2/add1.mpl">add1.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass2/add3.mpl">add3.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass2/add3common.mpl">add3common.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass2/c2s1q01.mpl">c2s1q01.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass2/c2s3q03.mpl">c2s3q03.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass2/c2s6q02.mpl">c2s6q02.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass2/c2s6q09.mpl">c2s6q09.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass2/common.mpl">common.mpl</a> <b>·</b>
</li>
<li>Assignment 3 <a href="http://www.cecm.sfu.ca/personal/monaganm/teaching/MATH439/AS3.txt">[questions]</a>
<br> Code <b>·</b>
<a href="classes/MATH819b/ass3/add2.mpl">add2.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/BBA.mpl">BBA.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/c02s07q02.mpl">c02s07q02.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/c02s08q01.mpl">c02s08q01.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/c02s08q05.mpl">c02s08q05.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/c02s08q11.mpl">c02s08q11.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/c03s01q07.mpl">c03s01q07.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/c03s03q06.mpl">c03s03q06.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/c03s03q08.mpl">c03s03q08.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass3/c03s03q14.mpl">c03s03q14.mpl</a> <b>·</b>
</li>
<li>Assignment 4 <a href="http://www.cecm.sfu.ca/personal/monaganm/teaching/MATH439/AS4.txt">[questions]</a>
<br> Code <b>·</b>
<a href="classes/MATH819b/ass4/add1.mpl">add1.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/add4/BBA.mpl">BBA.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/add4/common.mpl">common.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/add4/sandbox.mpl">sandbox.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/c03s05q10.mpl">c03s05q10.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/c03s06q01.mpl">c03s06q01.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/c03s06q03.mpl">c03s06q03.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/c03s06q04.mpl">c03s06q04.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/c03s06q06.mpl">c03s06q06.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/c03s06q07.mpl">c03s06q07.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/c04s02q07.mpl">c04s02q07.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass4/c04s02q12.mpl">c04s02q12.mpl</a> <b>·</b>
</li>
<li>Assignment 5 <a href="http://www.cecm.sfu.ca/personal/monaganm/teaching/MATH439/AS5.txt">[questions]</a>
<br> Code <b>·</b>
<a href="classes/MATH819b/ass5/add2.mpl">add2.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass5/add4.mpl">add4.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass5/add6.mpl">add6.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass5/add7.mpl">add7.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass5/add8.mpl">add8.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass5/c04s03q08.mpl">c04s03q08.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass5/c04s06q04.mpl">c04s06q04.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass5/c04s06q07.mpl">c04s06q07.mpl</a> <b>·</b>
</li>
<li>Assignment 6 <a href="http://www.cecm.sfu.ca/personal/monaganm/teaching/MATH439/AS6.txt">[questions]</a>
<br> Code <b>·</b>
<a href="classes/MATH819b/ass6/add2.mpl">add2.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/add3.mpl">add3.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/add4.mpl">add4.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/c05s03q05.mpl">c05s03q05.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/c05s03q10.mpl">c05s03q10.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/c06s04q06.mpl">c06s04q06.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/c06s04q08.mpl">c06s04q08.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/c06s04q11.mpl">c06s04q11.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/circles/circlesA.mpl">circlesA.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/circles/circlesB.mpl">circlesB.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/circles/circlesC.mpl">circlesC.mpl</a> <b>·</b>
<a href="classes/MATH819b/ass6/circles/circlesD.mpl">circlesD.mpl</a> <b>·</b>
</li>
<li>Course project on <a href="http://en.wikipedia.org/wiki/Buchberger's_algorithm">Buchberger's algorithm</a>, <a href="http://www.itwm.fraunhofer.de/as/asemployees/wichmann/fglm.html"> FGLM algorithm </a>
<br> Code for BBA <b>·</b>
<a href="classes/MATH819b/project/BBA/BBA.mpl">BBA.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/BBA/common.mpl">common.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/BBA/elim.mpl">elim.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/BBA/sandbox.mpl">sandbox.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/BBA/question1.mpl">question1.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/BBA/question1.mpl">question2.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/BBA/question1.mpl">question3.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/BBA/question1.mpl">question4.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/BBA/question1.mpl">question5.mpl</a> <b>·</b>
<br> Code for FGLM <b>·</b>
<a href="classes/MATH819b/project/FGLM/FGLM.mpl">FGLM.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/FGLM/common.mpl">common.mpl</a> <b>·</b>
<a href="classes/MATH819b/project/FGLM/sandbox.mpl">sandbox.mpl</a> <b>·</b>
</li>
</ol>
</div>
<div style="clear: both;"> </div>
</div>
</body>
</html>