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	      Math190 - Spring 2024 - Tufts Univ</a>
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            <h1>Notes and Assignments (collected)
</h1>
            <article>
    <section class="header">
        Posted on 2024-03-13
        
            by George McNinch
        
    </section>
    <section>
        <h1 id="representation-theory">Representation Theory</h1>
<h2 id="notes">notes</h2>
<ul>
<li><a href="../course-contents/2024-01-17--notes-RT.html">[Groups and linear algebra - 2024-01-17]</a> <a href="../course-contents/2024-01-17--notes-RT.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-01-22--notes-RT.html">[Representations - 2024-01-22]</a> <a href="../course-contents/2024-01-22--notes-RT.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-01-24--notes-RT.html">[Invariant subspaces and complete reducibilty - 2024-01-24]</a>
<a href="../course-contents/2024-01-24--notes-RT.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-01-29--notes-RT.html">[Schur’s Lemma &amp; irreducibility - 2024-01-29]</a>
<a href="../course-contents/2024-01-29--notes-RT.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-01-31--notes-RT.html">[The character table of a finite group - 2024-01-31]</a>
<a href="../course-contents/2024-01-31--notes-RT.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-02-05--notes-RT.html">[Characters of irreducible representations - 2024-02-05]</a>
<a href="../course-contents/2024-02-05--notes-RT.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-02-07--notes-RT--functions.html">[Functions on <span class="math inline">\(G\)</span> via regular representation - 2024-02-07 pt1]</a>
<a href="../course-contents/2024-02-07--notes-RT--functions.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-02-07--notes-RT--diaconis-paper.html">[Representations &amp; the symmetric group - 2024-02-07 pt2]</a>
<a href="../course-contents/2024-02-07--notes-RT--diaconis-paper.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-02-12--notes-RT--number-of-irreducibles.html">[The number of irreducible representations - 2024-02-12]</a>
<a href="../course-contents/2024-02-12--notes-RT--number-of-irreducibles.pdfx">[pdf]</a></li>
</ul>
<h2 id="assignments">assignments</h2>
<ul>
<li>due 2024-01-26
<a href="../course-assignments/PS01--rep-theory.html">[problem set 01]</a>
<a href="../course-assignments/PS01--rep-theory.pdf">[pdf]</a>
<a href="../course-assignments/PS01--rep-theory--solutions.html">[solutions]</a>
<a href="../course-assignments/PS01--rep-theory--solutions.pdf">[solutions pdf]</a></li>
<li>due 2024-02-02
<a href="../course-assignments/PS02--rep-theory.html">[problem set 02]</a>
<a href="../course-assignments/PS02--rep-theory.pdf">[pdf]</a>
<a href="../course-assignments/PS02--rep-theory--solutions.html">[solutions]</a>
<a href="../course-assignments/PS02--rep-theory--solutions.pdf">[solutions pdf]</a></li>
<li>due 2024-02-16
<a href="../course-assignments/PS03--rep-theory.html">[problem set 03]</a>
<a href="../course-assignments/PS03--rep-theory.pdf">[pdf]</a>
<a href="../course-assignments/PS03--rep-theory--solutions.html">[solutions]</a>
<a href="../course-assignments/PS03--rep-theory--solutions.pdf">[solutions pdf]</a></li>
</ul>
<h1 id="error-correcting-codes">Error-Correcting codes</h1>
<h2 id="notes-1">notes</h2>
<ul>
<li><a href="../course-contents/2024-02-14--notes-ECC--intro.html">[Overview on linear codes - 2024-02-14]</a>
<a href="../course-contents/2024-02-14--notes-ECC--intro.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-02-21--notes-ECC--hamming+finite.html">[Check matrices; finite projective space; Hamming codes- 2024-02-21]</a>
<a href="../course-contents/2024-02-21--notes-ECC--hamming+finite.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-02-22--notes-ECC--shannon+block.html">[Shannon’s Theorem; block codes - 2024-02-22]</a>
<a href="../course-contents/2024-02-22--notes-ECC--shannon+block.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-02-26--block+linear.html">[Bounds for block codes; decoding - 2024-02-26]</a>
<a href="../course-contents/2024-02-26--block+linear.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-02-28--linear.html">[Dual codes; McWilliams identity - 2024-02-28]</a>
<a href="../course-contents/2024-02-28--linear.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-03-04-p0--projective.html">[Codes from points in projective space - 2024-03-04]</a>
<a href="../course-contents/2024-03-04-p0--projective.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-03-06--cyclic.html">[Cyclic codes - 2024-03-06]</a>
<a href="../course-contents/2024-03-06--cyclic.pdf">[pdf]</a></li>
<li><a href="../course-contents/2024-03-13--ReedSolomon.html">[Reed-Solomon codes - 2024-03-13]</a>
<a href="../course-contents/2024-03-13--ReedSolomon.pdf">[pdf]</a></li>
</ul>
<h2 id="sage-math-notebooks"><code>sage-math</code> notebooks</h2>
<ul>
<li>example of ternary code
<a href="https://cocalc.com/github/gmcninch-tufts/2024-Sp-Math190/blob/main/course-contents/notebooks/2024-02-14--ECC-01--ternary-code.ipynb">[via <code>cocalc</code>]</a>
<a href="../course-contents/notebooks/2024-02-14--ECC-01--ternary-code.ipynb">[download notebook]</a></li>
<li>Hamming code example
<a href="https://cocalc.com/github/gmcninch-tufts/2024-Sp-Math190/blob/main/course-contents/notebooks/2024-02-21--ECC-02--Hamming-example.ipynb">[via <code>cocalc</code>]</a>
<a href="../course-contents/notebooks/2024-02-21--ECC-02--Hamming-example.ipynb">[download notebook]</a></li>
<li>perfect codes
<a href="https://cocalc.com/github/gmcninch-tufts/2024-Sp-Math190/blob/main/course-contents/notebooks/2024-02-22--perfect.ipynb">[via <code>cocalc</code>]</a>
<a href="../course-contents/notebooks/2024-02-22--perfect.ipynb">[download notebook]</a></li>
<li>array decoding
<a href="https://cocalc.com/github/gmcninch-tufts/2024-Sp-Math190/blob/main/course-contents/notebooks/2024-02-26--array-decoding.ipynb">[via <code>cocalc</code>]</a>
<a href="../course-contents/notebooks/2024-02-26--array-decoding.ipynb">[download notebook]</a></li>
<li>syndrome decoding
<a href="https://cocalc.com/github/gmcninch-tufts/2024-Sp-Math190/blob/main/course-contents/notebooks/2024-02-26--syndrome-decoding.ipynb">[via <code>cocalc</code>]</a>
<a href="../course-contents/notebooks/2024-02-26--syndrome-decoding.ipynb">[download notebook]</a></li>
<li>dual-codes
<a href="https://cocalc.com/github/gmcninch-tufts/2024-Sp-Math190/blob/main/course-contents/notebooks/2024-02-28--dual-code.ipynb">[via <code>cocalc</code>]</a>
<a href="../course-contents/notebooks/2024-02-28--dual-code.ipynb">[download notebook]</a></li>
<li>ternary Golay codes
<a href="https://cocalc.com/github/gmcninch-tufts/2024-Sp-Math190/blob/main/course-contents/notebooks/2024-03-06--ternary-golay.ipynb">[via <code>cocalc</code>]</a>
<a href="../course-contents/notebooks/2024-03-06--ternary-golay.ipynb">[download notebook]</a></li>
<li>decoding Reed-Solomon codes
<a href="https://cocalc.com/github/gmcninch-tufts/2024-Sp-Math190/blob/main/course-contents/notebooks/2024-03-13--ReedSolomon-class.ipynb">[via <code>cocalc</code>]</a>
<a href="../course-contents/notebooks/2024-03-13--ReedSolomon-class.ipynb">[download notebook]</a></li>
</ul>
<h2 id="assignments-1">assignments</h2>
<ul>
<li>due 2024-03-01 <a href="../course-assignments/PS04--ECC.html">[problem set 04]</a>
<a href="../course-assignments/PS04--ECC.pdf">[pdf]</a>
<a href="../course-assignments/PS04--ECC--solutions.html">[solutions]</a>
<a href="../course-assignments/PS04--ECC--solutions.pdf">[solutions pdf]</a><br />
</li>
<li>due 2024-03-29 <a href="../course-assignments/PS05--ECC.html">[problem set 05]</a>
<a href="../course-assignments/PS05--ECC.html">[pdf]</a>
<a href="../course-assignments/PS05--ECC--solutions.html">[solutions]</a>
<a href="../course-assignments/PS05--ECC--solutions.pdf">[solutions pdf]</a><br />
</li>
<li>due 2024-03-29 <a href="../course-assignments/FinReport-Proposal.html">[final project proposal]</a>
<a href="../course-assignments/FinReport-Proposal.pdf">[pdf]</a></li>
</ul>
    </section>
</article>

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