MATH 131A (Summer 2024) ๐Ÿ“ˆ | Nicholas Hu https://www.math.ucla.edu/~njhu/teaching/math-131a-2024u/ MATH 131A (Summer 2024) ๐Ÿ“ˆ Hugo Blox Builder (https://hugoblox.com)en-caFri, 26 Jul 2024 00:00:00 +0000 https://www.math.ucla.edu/~njhu/media/icon_hu_d46824b1c45312fd.png MATH 131A (Summer 2024) ๐Ÿ“ˆ https://www.math.ucla.edu/~njhu/teaching/math-131a-2024u/ https://www.math.ucla.edu/~njhu/teaching/math-131a-2024u/syllabus/ Sat, 14 Sep 2024 00:00:00 +0000 https://www.math.ucla.edu/~njhu/teaching/math-131a-2024u/syllabus/ <head> <link rel="canonical" href="../syllabus"> <meta name="robots" content="noindex"> <meta charset="utf-8"> <meta http-equiv="refresh" content="0; url=../math-131a-2024u-syllabus.pdf"> </head> Lecture notes https://www.math.ucla.edu/~njhu/teaching/math-131a-2024u/notes/ Sun, 15 Sep 2024 00:00:00 +0000 https://www.math.ucla.edu/~njhu/teaching/math-131a-2024u/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>Lecture</th> <th>Date</th> <th>Topic</th> <th>Notetaker</th> </tr> </thead> <tr> <td><code>01</code></td> <td><code><font color="#d62728">M</font> 08-05</code></td> <td><a href="01-logic.pdf">Logic</a></td> <td><em>Instructor</em></td> </tr> <tr> <td><code>02</code></td> <td><code><font color="#ff7f0e">T</font> 08-06</code></td> <td><a href="02-sets-relations-gao.pdf">Sets and relations</a></td> <td>Sia Gao</td> </tr> <tr> <td><code>03</code></td> <td><code><font color="#1f77b4">R</font> 08-08</code></td> <td><a href="03-integers-rationals-anonymous.pdf">Integers and rational numbers</a></td> <td><em>Anonymous</em></td> </tr> <tr> <td><code>04</code></td> <td><code><font color="#d62728">M</font> 08-12</code></td> <td><a href="04-sequences-schlessinger.pdf">Sequences</a></td> <td>Shimon Schlessinger</td> </tr> <tr> <td><code>05</code></td> <td><code><font color="#ff7f0e">T</font> 08-13</code></td> <td><a href="05-cauchy-reals-suh.pdf">Cauchy sequences and real numbers</a></td> <td>Sophie Suh</td> </tr> <tr> <td><code>06</code></td> <td><code><font color="#1f77b4">R</font> 08-15</code></td> <td><a href="06-sup-inf-su.pdf">Suprema and infima</a></td> <td>Xinyi Su</td> </tr> <tr> <td><code>07</code></td> <td><code><font color="#d62728">M</font> 08-19</code></td> <td><a href="07-subsequences-anonymous.pdf">Subsequences and extended real numbers</a></td> <td><em>Anonymous</em></td> </tr> <tr> <td><code>08</code></td> <td><code><font color="#ff7f0e">T</font> 08-20</code></td> <td><a href="08-series-luo.pdf">Series</a></td> <td>Xiaoqian Luo</td> </tr> <tr> <td><code>09</code></td> <td><code><font color="#d62728">M</font> 08-26</code></td> <td><a href="09-open-closed-anonymous.pdf">Open and closed sets</a></td> <td><em>Anonymous</em></td> </tr> <tr> <td><code>10</code></td> <td><code><font color="#ff7f0e">T</font> 08-27</code></td> <td><a href="10-compact.pdf">Compact sets and limits of functions</a></td> <td><em>Instructor</em></td> </tr> <tr> <td><code>11</code></td> <td><code><font color="#1f77b4">R</font> 08-29</code></td> <td><a href="11-continuity-dai.pdf">Continuous functions</a></td> <td>Jason Dai</td> </tr> <tr> <td><code>12</code></td> <td><code><font color="#ff7f0e">T</font> 09-03</code></td> <td><a href="12-differentiation-liu.pdf">The derivative</a></td> <td>Yicheng Liu</td> </tr> <tr> <td><code>13</code></td> <td><code><font color="#1f77b4">R</font> 09-05</code></td> <td><a href="13-taylor-integration.pdf">Taylorโ€™s theorem and the integral</a></td> <td><em>Instructor</em></td> </tr> <tr> <td><code>14</code></td> <td><code><font color="#d62728">M</font> 09-09</code></td> <td><a href="14-integration-ftc-anonymous.pdf">Integration and the FTC</a></td> <td><em>Anonymous</em></td> </tr> </table> <hr> <h6 id="supplementary-notes">Supplementary notes</h6> <ul> <li><a href="number-systems.pdf">Number systems</a></li> </ul> References https://www.math.ucla.edu/~njhu/teaching/math-131a-2024u/references/ Fri, 26 Jul 2024 00:00:00 +0000 https://www.math.ucla.edu/~njhu/teaching/math-131a-2024u/references/ <h2 id="analysis">Analysis</h2> <ul> <li><a href="https://doi.org/10.1007/978-1-4939-2712-8" target="_blank" rel="noopener">Understanding Analysis</a></li> <li><a href="https://doi.org/10.1007/978-1-4614-6271-2" target="_blank" rel="noopener">Elementary Analysis: The Theory of Calculus</a> (official MATH 131A textbook)</li> <li><a href="https://www.mheducation.com/highered/product/principles-mathematical-analysis-rudin/M9780070542358.html" target="_blank" rel="noopener">Principles of Mathematical Analysis</a></li> <li><a href="https://www.jblearning.com/catalog/productdetails/9780763714970" target="_blank" rel="noopener">The Way of Analysis</a></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>