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<h2 class="hd hd-2 unit-title">1. Syllabus and Schedule</h2>
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<span><h2>Syllabus and Schedule</h2><div class="hideshowbox"><table style="margin:0px; border:hidden;"><col style="width:45%"/><col style="width:25%"/><col style="width:25%"/><col style="width:15%"/><tbody><tr><th style="padding:0px; border-top-left-radius: 5px;"><h4 onclick="hideshow(this);" style="margin: 0px;">Getting started</h4></th><th style="padding:0px"><h4 onclick="hideshow(this);" style="margin:0px">Released: 26 Feb</h4></th><th style="padding:0px"><h4 onclick="hideshow(this);" style="margin:0px"/></th><th style="padding:0px; border-top-right-radius: 5px;"><h4 onclick="hideshow(this);" style="margin: 0px"><img src="/assets/courseware/v1/ea3cb52c272a3010db3cfe92f68f23e8/asset-v1:MITx+18.01.3x+1T2020+type@asset+block/js_down.png" class="toggleimage"/></h4></th></tr></tbody></table><div class="hideshowcontent"><table cellspacing="0" class="tabular" style="table-layout:auto;"><tr><td style="text-align:left;" rowspan="6"><span style="color:#27408C"><b class="bf">Overview and logistics</b></span></td><td style="text-align:left;">
Meet the course team</td></tr><tr><td style="text-align:left;">
Course description</td></tr><tr><td style="text-align:left;">
Prerequisites and resources</td></tr><tr><td style="text-align:left;">
Syllabus</td></tr><tr><td style="text-align:left;">
Grading and certification</td></tr><tr><td style="text-align:left;">
Discussion forum</td></tr><tr><td style="text-align:left;" rowspan="3"><span style="color:#27408C"><b class="bf">Tutorial on using the edX platform</b></span></td><td style="text-align:left;">
Navigating courseware</td></tr><tr><td style="text-align:left;">
Interactive problems</td></tr><tr><td style="text-align:left;">
Discussion forum</td></tr><tr><td style="text-align:left;"><span style="color:#27408C"><b class="bf">Getting to know you</b></span></td><td style="text-align:left;">
Diagnostics </td></tr><tr><td style="text-align:left;" colspan="2"><span style="color:#27408C"><b class="bf">Entrance survey</b></span></td></tr></table></div><p class="hideshowbottom" onclick="hideshow(this);"><a href="javascript: {return false;}">Show</a></p></div><div class="hideshowbox"><table style="margin:0px; border:hidden;"><col style="width:45%"/><col style="width:25%"/><col style="width:25%"/><col style="width:15%"/><tbody><tr><th style="padding:0px; border-top-left-radius: 5px;"><h4 onclick="hideshow(this);" style="margin: 0px;">Unit 1: Coordinate Systems</h4></th><th style="padding:0px"><h4 onclick="hideshow(this);" style="margin:0px">Released: 26 Feb</h4></th><th style="padding:0px"><h4 onclick="hideshow(this);" style="margin:0px">Due: 25 March</h4></th><th style="padding:0px; border-top-right-radius: 5px;"><h4 onclick="hideshow(this);" style="margin: 0px"><img src="/assets/courseware/v1/ea3cb52c272a3010db3cfe92f68f23e8/asset-v1:MITx+18.01.3x+1T2020+type@asset+block/js_down.png" class="toggleimage"/></h4></th></tr></tbody></table><div class="hideshowcontent"><table cellspacing="0" class="tabular" style="table-layout:auto"><tr><td style="text-align:left;" rowspan="4"><span style="color:#27408C"><b class="bf">Parametric Curves</b></span></td><td style="text-align:left;">
Eliminating parameters and sketching parametric curves</td></tr><tr><td style="text-align:left;">
Arc length of and speed along parametric curves</td></tr><tr><td style="text-align:left;">
Area and surface area
</td></tr><tr><td style="text-align:left;">
Finding parameterizations and the cycloid
</td></tr><tr><td style="text-align:left;" rowspan="3"><span style="color:#27408C"><b class="bf">Polar Coordinates</b></span></td><td style="text-align:left;">
Converting between polar and cartesian coordinates</td></tr><tr><td style="text-align:left;">
Graphing polar functions</td></tr><tr><td style="text-align:left;">
Areas of polar functions</td></tr><tr><td style="text-align:left;" colspan="2"><span style="color:#27408C"><b class="bf">Homework 1 Part A</b></span></td></tr><tr><td style="text-align:left;" colspan="2"><span style="color:#27408C"><b class="bf">Homework 1 Part B</b></span></td></tr></table></div><p class="hideshowbottom" onclick="hideshow(this);"><a href="javascript: {return false;}">Show</a></p></div><div class="hideshowbox"><table style="margin:0px; border:hidden"><col style="width:45%"/><col style="width:25%"/><col style="width:25%"/><col style="width:15%"/><tbody><tr><th style="padding:0px; border-top-left-radius: 5px;"><h4 onclick="hideshow(this);" style="margin: 0px">Unit 2: Understanding Infinity</h4></th><th style="padding:0px"><h4 onclick="hideshow(this);" style="margin:0px">Released: 26 Feb</h4></th><th style="padding:0px"><h4 onclick="hideshow(this);" style="margin:0px">Due: 22 April</h4></th><th style="padding:0px; border-top-right-radius: 5px;"><h4 onclick="hideshow(this);" style="margin: 0px"><img src="/assets/courseware/v1/ea3cb52c272a3010db3cfe92f68f23e8/asset-v1:MITx+18.01.3x+1T2020+type@asset+block/js_down.png" class="toggleimage"/></h4></th></tr></tbody></table><div class="hideshowcontent"><table cellspacing="0" class="tabular" style="table-layout:auto"><tr><td style="text-align:left;" rowspan="3"><span style="color:#27408C"><b class="bf">Improper Integral</b></span></td><td style="text-align:left;">
Review of l'hopital's rule</td></tr><tr><td style="text-align:left;">
Evalutating improper integrals</td></tr><tr><td style="text-align:left;">
Convergent and divergent improper integrals</td></tr><tr><td style="text-align:left;" rowspan="9"><span style="color:#27408C"><b class="bf">Infinite Series</b></span></td><td style="text-align:left;">
Definition and notation </td></tr><tr><td style="text-align:left;">
Convergent and divergent infinite series </td></tr><tr><td style="text-align:left;">
Divergence test </td></tr><tr><td style="text-align:left;">
Integral test </td></tr><tr><td style="text-align:left;">
Limit test </td></tr><tr><td style="text-align:left;">
Limit comparison test </td></tr><tr><td style="text-align:left;">
Ratio test </td></tr><tr><td style="text-align:left;">
Root test </td></tr><tr><td style="text-align:left;">
Alternating series test </td></tr><tr><td style="text-align:left;" rowspan="5"><span style="color:#27408C"><b class="bf">Taylor Series</b></span></td><td style="text-align:left;">
Taylor polynomial approximations and error bounds</td></tr><tr><td style="text-align:left;">
Maclaurin series and Taylor series </td></tr><tr><td style="text-align:left;">
Formal manipulation of Taylor series </td></tr><tr><td style="text-align:left;">
Power series </td></tr><tr><td style="text-align:left;">
Radius and interval of convergence </td></tr><tr><td style="text-align:left;" colspan="2"><span style="color:#27408C"><b class="bf">Homework 2 Part A</b></span></td></tr><tr><td style="text-align:left;" colspan="2"><span style="color:#27408C"><b class="bf">Homework 2 Part B</b></span></td></tr></table></div><p class="hideshowbottom" onclick="hideshow(this);"><a href="javascript: {return false;}">Show</a></p></div><div class="hideshowbox"><table style="margin:0px; border:hidden"><col style="width:45%"/><col style="width:25%"/><col style="width:25%"/><col style="width:15%"/><tbody><tr><th style="padding:0px; border-top-left-radius: 5px;"><h4 onclick="hideshow(this);" style="margin: 0px">Final exam</h4></th><th style="padding:0px"><h4 onclick="hideshow(this);" style="margin:0px">Released: 22 April</h4></th><th style="padding:0px"><h4 onclick="hideshow(this);" style="margin:0px">Due: 29 April</h4></th><th style="padding:0px; border-top-right-radius: 5px;"><h4 onclick="hideshow(this);" style="margin: 0px"><img src="/assets/courseware/v1/ea3cb52c272a3010db3cfe92f68f23e8/asset-v1:MITx+18.01.3x+1T2020+type@asset+block/js_down.png" class="toggleimage"/></h4></th></tr></tbody></table><div class="hideshowcontent"><p><span style="color:#27408C"><b class="bf">Final exam </b><br/><b class="bf">Exit survey</b></span></p></div><p class="hideshowbottom" onclick="hideshow(this);"><a href="javascript: {return false;}">Show</a></p></div><SCRIPT type="text/javascript" src="/assets/courseware/v1/fc085e94a38cb4fc1aee3ede2cd00018/asset-v1:MITx+18.01.3x+1T2020+type@asset+block/js_showhidescript.js"/></span>
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