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<h2 class="hd hd-2 unit-title">This Course on Open Learning Library</h2>
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<p style="font-size: 16px;">In this version of <strong>Calculus 1B: Integration</strong> 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>
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<h2 class="hd hd-2 unit-title">1. Meet the course team</h2>
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<h2 class="hd hd-2 unit-title">2. Course Description</h2>
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<p>
Discover the integral—what it is and how to compute it. See how to use calculus to model real world phenomena. Part 2 of 3. </p><p>
How long should the handle of your spoon be so that your fingers do not burn while mixing chocolate fondue? Can you find a shape that has finite volume, but infinite surface area? How does the weight of the rider change the trajectory of a zip line ride? These and many other questions can be answered by harnessing the power of the integral. But what is an integral? You will learn to interpret it geometrically as an area under a graph, and discover its connection to the derivative. You will encounter functions that you cannot integrate without a computer and develop a big bag of tricks to attack the functions that you can integrate by hand. The integral is vital in engineering design, scientific analysis, probability and statistics. You will use integrals to find centers of mass, the stress on a beam during construction, the power exerted by a motor, and the distance traveled by a rocket. </p><p>
This course, in combination with 18.01.1x Calculus 1A: Differentiation, covers the AP Calculus AB curriculum. This course, in combination with 18.01.1x Calculus 1A: Differentiation and 18.01.3x Calculus 1C: Coordinate Systems and Infinite Series, 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>
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<h2 class="hd hd-2 unit-title">3. The making of this course</h2>
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<p><img src="/assets/courseware/v1/2e0031be7d9c4be10810acd7c4667d88/asset-v1:MITx+18.01.2x+3T2019+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>
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<h2 class="hd hd-2 unit-title">4. How to Succeed</h2>
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<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>
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<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>
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<h2 class="hd hd-2 unit-title">5. Grading</h2>
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<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>
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