<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@vertical+block@fd113b82c7514fd3bea384c7634393ac" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<h2 class="hd hd-2 unit-title">This Course on Open Learning Library</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@9e45e44404194fe49093f4367fea399e">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@9e45e44404194fe49093f4367fea399e" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p style="font-size: 16px;">In this version of <b>Calculus 1C: Coordinate Systems & Infinite Series</b> on MIT Open Learning Library :</p>
<ul>
<li>No certificates can be earned on Open Learning Library</li>
<li>Runs as ‘self-paced’ and all dates mentioned within are irrelevant</li>
<li>Some assessment material may have been removed and grading adjusted accordingly</li>
<li>Any discussion forums have been removed</li>
<li>All assessments have been set to unlimited attempts</li>
<li>Some course content may have been removed</li>
</ul>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@vertical+block@logistics-tab1" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<h2 class="hd hd-2 unit-title">1. Meet the course team</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab1-text1">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab1-text1" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<iframe src="/asset-v1:MITx+18.01.3x+1T2020+type@asset+block/courseteam_2.html" width="1200px" height="2000px" style="border:0px"/>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@vertical+block@logistics-tab2" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<h2 class="hd hd-2 unit-title">2. Course Description</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab2-text1">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab2-text1" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p>
Master the calculus of curves and coordinate systems; approximate functions with polynomials and infinite series. Part 3 of 3. </p><p>
How did Newton describe the orbits of the planets? To do this, he created calculus. But he used a different coordinate system more appropriate for planetary motion. We will learn to shift our perspective to do calculus with parameterized curves and polar coordinates. And then we will dive deep into exploring the infinite to gain a deeper understanding and powerful descriptions of functions. </p><p>
How does a computer make accurate computations? Absolute precision does not exist in the real world, and computers cannot handle infinitesimals or infinity. Fortunately, just as we approximate numbers using the decimal system, we can approximate functions using series of much simpler functions. These approximations provide a powerful framework for scientific computing and still give highly accurate results. They allow us to solve all sorts of engineering problems based on models of our world represented in the language of calculus. </p><p>
This course, in combination with 18.01.1x Calculus 1A: Differentiation and 18.01.2x Calculus 1B: Integration, covers the AP Calculus BC curriculum. If you intend to take an AP exam, we strongly suggest that you familiarize yourself with the AP exam to prepare for it. </p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@vertical+block@logistics-tab3" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<h2 class="hd hd-2 unit-title">3. The making of this course</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab3-text1">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab3-text1" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><img src="/assets/courseware/v1/2e0031be7d9c4be10810acd7c4667d88/asset-v1:MITx+18.01.3x+1T2020+type@asset+block/images_latex2edx_icon.png" width="400" style="200"/></p><p>
This course was created using latex2edX, a free tool developed at MIT for creating content for edX written in LaTeX. LaTeX is a typesetting language that is fantastic for writing math! Occasionally, the equations you see in the webpage (which are rendered in mathjax) do not load appropriately. Our apologies. The easiest fix is to simply reload the page. Another solution is to change browsers. (Firefox seems to render mathjax less reliably than Chrome or Safari. However, frequent changes to edX will cause disruptions in our content.) </p><p>
Note edX is not supported on tablet devices. That said, users report that 95% of the problems can be done on a tablet device, but if weird errors are creeping in (especially with formula input type problems) you may try switching to a laptop or desktop computer. </p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@vertical+block@logistics-tab4" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<h2 class="hd hd-2 unit-title">4. How to Succeed</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab4-text1">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab4-text1" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><b class="bfseries">Prerequisites</b></p><p>
This course has a global audience with students from a wide variety of backgrounds. To succeed in this course, you must have a solid foundation in </p><ul class="itemize"><li><p>
algebra, </p></li><li><p>
geometry, </p></li><li><p>
trigonometry, </p></li><li><p>
exponents, </p></li><li><p>
logarithms, and </p></li><li><p>
limits </p></li></ul><p>
Because we know you come from different backgrounds, we want to help you to choose the best path through this content. To aid us in this, please take the “Choose your calculus adventure" diagnostics. This will help you to determine if you have the skills to succeed, what skills you may need to review, and which units you may be able to skip! </p>
</div>
</div>
<div class="vert vert-1" data-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab4-text2">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab4-text2" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><b class="bfseries">Reference materials</b></p><p>
The material we provide in the Courseware contains all of the content you need for this course. However, there are many good calculus texts that have a great deal of problems and alternate explanations that may help you. Most widely used calculus texts are adequate. </p><p>
There is also the free web resource <a href="https://www.khanacademy.org/"> Khan Academy.</a> </p><p>
Links to other web resources can be found on the Course Info page under the header “Related Links". Feel free to share other resources on the course wiki or through the discussion forum. </p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@vertical+block@logistics-tab5" data-init="VerticalStudentView" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="vertical" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<h2 class="hd hd-2 unit-title">5. Grading</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab5-text1">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-usage-id="block-v1:MITx+18.01.3x+1T2020+type@html+block@logistics-tab5-text1" data-init="XBlockToXModuleShim" data-runtime-version="1" data-course-id="course-v1:MITx+18.01.3x+1T2020" data-block-type="html" data-has-score="False" data-graded="False" data-request-token="1e7fab6afe6711ee9b9416fff75c5923">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p>There are 4 categories of graded problems in 18.01.3x: in-lecture Exercises, Part A Homework, Part B Homework, and the Final Exam. <span style="color: #313131; font-family: 'Open Sans', 'Helvetica Neue', Helvetica, Arial, sans-serif;">Part A Homework, Part B Homework, and the Final Exam have been removed from this Open Learning Library course.</span></p>
<ul class="itemize">
<li>
<p><b class="bf">Exercises</b> These are the problems that are interspersed between videos in each lecture. These problems count for 100% of your grade</p>
<p>These problems will be used to motivate theory, practice a concept you just learned, and review material from previous sequences that we are using. While you are graded on these problems, they are low-stakes: you have multiple attempts, and have the opportunity to look at the answer after you have submitted a correct answer or run out of attempts. This is where you will do the majority of your learning. We encourage you to make mistakes and learn from them!</p>
</li>
</ul>
<p></p>
</div>
</div>
</div>
</div>
© All Rights Reserved