MATH 115A (Spring 2025) 🔢 | Nicholas Hu https://www.math.ucla.edu/~njhu/teaching/math-115a-2025s/ MATH 115A (Spring 2025) 🔢 Hugo Blox Builder (https://hugoblox.com)en-caFri, 21 Mar 2025 00:00:00 +0000 https://www.math.ucla.edu/~njhu/media/icon_hu_d46824b1c45312fd.png MATH 115A (Spring 2025) 🔢 https://www.math.ucla.edu/~njhu/teaching/math-115a-2025s/ https://www.math.ucla.edu/~njhu/teaching/math-115a-2025s/syllabus/ Sat, 19 Apr 2025 00:00:00 +0000 https://www.math.ucla.edu/~njhu/teaching/math-115a-2025s/syllabus/ <head> <link rel="canonical" href="../syllabus"> <meta name="robots" content="noindex"> <meta charset="utf-8"> <meta http-equiv="refresh" content="0; url=../math-115a-2025s-syllabus.pdf"> </head> Lecture notes https://www.math.ucla.edu/~njhu/teaching/math-115a-2025s/notes/ Wed, 11 Jun 2025 00:00:00 +0000 https://www.math.ucla.edu/~njhu/teaching/math-115a-2025s/notes/ <p>Many thanks to the students below for allowing their notes to be shared!</p> <style> .custom th {padding-top: 0.125rem; padding-bottom: 0.125rem; padding-left: 0.375rem; padding-right: 0.375rem;} .custom td {padding-top: 0.125rem; padding-bottom: 0.125rem; padding-left: 0.375rem; padding-right: 0.375rem;} #cellhl {background-color: #fcf8e3;} .custom code {color: #000;} .dark code {color: #fff;} .dark #cellhl {background-color: rgba(233, 231, 245, 0.2);} </style> <table class="custom" style="font-size: 1rem;"> <thead> <tr> <th>Week</th> <th width="100px">Start date</th> <th width="300px">Topic</th> <th>Notetakers</th> </tr> </thead> <tr> <td><code>01</code></td> <td><code>03-31</code></td> <td><a href="01-vector-spaces.pdf">Vector spaces</a></td> <td><em>Instructor</em></td> </tr> <tr> <td><code>02</code></td> <td><code>04-07</code></td> <td><a href="02-vector-spaces.pdf">Vector spaces</a></td> <td>S. Char, K. Thouati De Tazoult</td> </tr> <tr> <td><code>03</code></td> <td><code>04-14</code></td> <td><a href="03-linear-maps.pdf">Linear maps</a></td> <td>J. Lu, A. Song, et al.</td> </tr> <tr> <td><code>04</code></td> <td><code>04-21</code></td> <td><a href="04-linear-maps.pdf">Linear maps</a></td> <td>A. Belenje, K. Zheng, E. Zhou</td> </tr> <tr> <td><code>05</code></td> <td><code>04-28</code></td> <td><a href="05-determinants-polynomials.pdf">Determinants and polynomials</a></td> <td><em>Instructor</em></td> </tr> <tr> <td><code>06</code></td> <td><code>05-05</code></td> <td><a href="06-eigenvalues-eigenvectors.pdf">Eigenvalues and eigenvectors</a></td> <td>J. Guan, B. Waters</td> </tr> <tr> <td><code>07</code></td> <td><code>05-12</code></td> <td><a href="07-eigenvalues-eigenvectors.pdf">Eigenvalues and eigenvectors</a></td> <td>J. Broyles, I. Veit</td> </tr> <tr> <td><code>08</code></td> <td><code>05-19</code></td> <td><a href="08-inner-product-spaces.pdf">Inner product spaces</a></td> <td><em>Anonymous</em></td> </tr> <tr> <td><code>09</code></td> <td><code>05-26</code></td> <td><a href="09-adjoints.pdf">Adjoints</a></td> <td>S. Kelly, H. Li, G. Lim, T. Seidakhmetov, S. Tao</td> </tr> <tr> <td><code>10</code></td> <td><code>06-02</code></td> <td><a href="10-spectral-theorem.pdf">The spectral theorem and SVD</a></td> <td>K. Hamakawa, I. Sharky, et al.</td> </tr> </table> <hr> <h6 id="supplementary-notes">Supplementary notes</h6> <ul> <li><a href="notation.pdf">Notation</a></li> <li><a href="matrixrep.pdf">Linear maps and matrices</a></li> </ul> References https://www.math.ucla.edu/~njhu/teaching/math-115a-2025s/references/ Mon, 31 Mar 2025 00:00:00 +0000 https://www.math.ucla.edu/~njhu/teaching/math-115a-2025s/references/ <h2 id="linear-algebra">Linear algebra</h2> <ul> <li><a href="https://link.springer.com/book/10.1007/978-3-031-41026-0" target="_blank" rel="noopener">Linear Algebra Done Right</a></li> <li><a href="https://www.pearson.com/en-us/subject-catalog/p/linear-algebra/P200000006185/9780137515424" target="_blank" rel="noopener">Linear Algebra</a> [S. Friedberg, A. Insel, L. Spence] (official MATH 115A textbook)</li> <li><a href="https://link.springer.com/book/10.1007/978-1-4757-1949-9" target="_blank" rel="noopener">Linear Algebra</a> [S. Lang]</li> </ul> <h2 id="mathematical-proofs-and-writing">Mathematical proofs and writing</h2> <ul> <li><a href="https://richardhammack.github.io/BookOfProof/" target="_blank" rel="noopener">Book of Proof</a></li> <li><a href="https://math.hmc.edu/su/wp-content/uploads/sites/10/2020/08/Guidelines-for-Good-Mathematical-Writing.pdf" target="_blank" rel="noopener">Guidelines for Good Mathematical Writing</a></li> <li><a href="https://web.cs.ucdavis.edu/~amenta/w10/writingman.pdf" target="_blank" rel="noopener">A Guide to Writing Mathematics</a></li> </ul>