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<!DOCTYPE html>
<html lang="en-us">
<head>
<meta charset="UTF-8">
<title>Lecture 0 and 1</title>
<meta name="viewport" content="width=device-width, initial-scale=1">
<link rel="stylesheet" type="text/css" href="stylesheets/normalize.css" media="screen">
<link href='https://fonts.googleapis.com/css?family=Open+Sans:400,700' rel='stylesheet' type='text/css'>
<link rel="stylesheet" type="text/css" href="stylesheets/stylesheet.css" media="screen">
<link rel="stylesheet" type="text/css" href="stylesheets/github-light.css" media="screen">
<style type="text/css"> <!-- .tab { margin-left: 40px; } --> </style>
</head>
<body>
<section class="page-header">
<h1 class="project-name">Introduction to Data Science</h1>
<h2 class="project-tagline">Columbia University Science Honor Program Fall 2018</h2>
</section>
<section class="main-content">
<h3>
<p , style="color:black;"> <b> 1. Calculus Review</b> </p>
<p class="tab", style="color:black;"> - Common functions (polynomial/trig/exponential/log) </p>
<p class="tab", style="color:black;"> - Derivatives </p>
<p class="tab", style="color:black;"> - Taylor Series </p>
<p class="tab", style="color:black;"> - Maximum and Minimum </p>
<p class="tab", style="color:black;"> - Lagrange Multiplier</p>
<p class="tab", style="color:black;">- Probability with counts</p>
<p class="tab", style="color:black;">- Binomial pmf</p>
<p class="tab", style="color:black;">- Geometric pmf</p>
<p class="tab", style="color:black;">- Negative Binomial pmf</p>
<p> <br></p>
<p , style="color:black;"> <b> 2. Probability & Statistics Review</b> </p>
<p> <b> Probability Review:</b> <a href="reading/prob_review.pdf"> view </a> </p>
<p> <b> Probability Tutorial:</b> <a href="reading/prob_tutorial.pdf"> view </a> </p>
<p> <br></p>
<p, style="color:green;"> <b>Extended Readings</b> </p>
<p, style="color:black;"> <a href="https://en.wikipedia.org/wiki/Taylor_series" target="_blank">Taylor Series</a> </p>
<p> <a href="https://en.wikipedia.org/wiki/Lagrange_multiplier" target="_blank">Lagrange Multiplier</a> </p>
<p> <a href="https://www.mathsisfun.com/combinatorics/combinations-permutations.html" target="_blank">Permutations and Combinations</a> </p>
<p> <a href="https://en.wikipedia.org/wiki/Binomial_coefficient" target="_blank">Binomial Coefficients</a>: this is where the name "binomial" distribution comes from. </p>
<p> <a href="https://en.wikipedia.org/wiki/Bayes%27_theorem" target="_blank">Bayes Theorem</a> </p>
</section>
</body>
</html>