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| ## Other common binary file types | ||
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| *.xlsx binary |
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| # List of untracked files to ignore |
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| %% Calculus — Integrals | ||
| % | ||
| % <html> | ||
| % <span style="font-family:Arial"> | ||
| % <span style="font-size:12pt"> | ||
| % <h2> Information </h2> | ||
| % This curriculum module contains interactive | ||
| % <a href="https://www.mathworks.com/products/matlab/live-editor.html">live scripts</a> | ||
| % and a <a href="https://www.mathworks.com/products/matlab/app-designer.html">MATLAB®</a> | ||
| % app that teach basic concepts of integral calculus. There is a focus on numerical approximation | ||
| % and graphical representation as tools for understanding the concepts of | ||
| % integral calculus. | ||
| % <br> | ||
| % <br> | ||
| % <a href=#module>Calculus — Integrals</a> covers <a href=#riem>Riemann sum approximations</a> to definite integrals, | ||
| % indefinite integrals as <a href=#antider>antiderivatives</a>, and the <a href=#ftc>fundamental theorem of calculus</a>. It | ||
| % also covers the <a href=#antider>indefinite integrals of powers, exponentials, natural logarithms, | ||
| % sines and cosines</a> as well as <a href=#sub>substitution</a> and <a href=#ibp>integration by parts</a>. Applications | ||
| % include area and <a href=#riem>power</a>. | ||
| % <br> | ||
| % <br> | ||
| % These live scripts can be used as part of a lecture, as activities in an instructional setting, | ||
| % or as interactive assignments to be completed outside of class. The module is divided into | ||
| % three folders with the same content offered for different use: <a href=#fullscripts>Full | ||
| % Scripts</a>, <a href=#viz>Visualizations</a>, and <a href=#practice>Practice</a>. | ||
| % <br> | ||
| % <br> | ||
| % The instructions inside the live scripts will guide you through the exercises and activities. | ||
| % Get started with each live script by running it one section at a time. To stop running the script | ||
| % or a section midway (for example, when an animation is in progress), use the Stop button in the | ||
| % RUN section of the Live Editor tab in the MATLAB Toolstrip. | ||
| % <br> | ||
| % <br> | ||
| % If you find an issue, | ||
| % or have a suggestion, email the MathWorks online teaching team at | ||
| % onlineteaching@mathworks.com | ||
| % <br> | ||
| % <br> | ||
| % <h2> Getting Started </h2> | ||
| % <ol> | ||
| % <li> | ||
| % Make sure that you have all the required products (listed below) | ||
| % installed. If you are missing a product, add it using the | ||
| % <a href="https://www.mathworks.com/products/matlab/add-on-explorer.html"> | ||
| % Add-On Explorer.</a> To install an add-on, go to the <b>Home</b> | ||
| % tab and select <img src="../Images/add-ons.png" style="margin:0px;" height=12> <b> Add-Ons > Get Add-Ons</b>. | ||
| % </li> | ||
| % <li> | ||
| % Get started with each topic by clicking the link in the first column of the table below to access the | ||
| % full script example. The instructions inside each live script will walk | ||
| % you through the live scripts and apps. | ||
| % </li> | ||
| % <li> | ||
| % Scripts containing focused exercises and randomized practice are located in the last column of the table to | ||
| % allow students to apply the concepts. | ||
| % </li> | ||
| % </ol> | ||
| % <h2> Products </h2> | ||
| % MATLAB, Symbolic Math Toolbox | ||
| % <br> | ||
| % <br> | ||
| % <h2> <a name="module">Modules</a> </h2> | ||
| % <table border=1 style="margin-left:20px; cellpadding:15px;"> | ||
| % <caption>Organization of the Calculus — Integrals Module</caption> | ||
| % <tr> | ||
| % <th scope="col">Topic</th> | ||
| % <th scope="col"><a name="fullscripts"> Full Scripts</th> | ||
| % <th scope="col"><a name="viz"> Visualizations</th> | ||
| % <th scope="col">Learning Goals</th> | ||
| % <th scope="col"><a name="practice">Practice</th> | ||
| % </tr> | ||
| % <tr> | ||
| % <th scope="row"> | ||
| % <a name="antider"><b>Antiderivatives</b></a> | ||
| % </th> | ||
| % <td> | ||
| % <a href="matlab:edit integralAntiderivatives.mlx;"><code>integralAntiderivatives.mlx</code><br> | ||
| % <img src = "../Images/adf.png" width=150 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit vizAntiderivatives.mlx;"><code>vizAntiderivatives.mlx</code><br> | ||
| % <img src = "../Images/family.gif" width=150 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % <td> | ||
| % <ul style="margin-top:5px; margin-bottom:10px"> | ||
| % <li>Explain the existence of a general family of antiderivatives.</li> | ||
| % <li>Compute integrals of linear combinations of powers, sines, cosines, and exponentials by hand.</li> | ||
| % </ul> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit practiceAntiderivatives.mlx;">practiceAntiderivatives.mlx</a> | ||
| % </td> | ||
| % </tr> | ||
| % <tr> | ||
| % <th scope="row"> | ||
| % <a name="ftc"><b>Fundamental Theorem of Calculus</b></a> | ||
| % </th> | ||
| % <td> | ||
| % <a href="matlab:edit integralFundamentalTheorem.mlx;"><code>integralFundamentalTheorem.mlx</code><br> | ||
| % <img src = "../Images/Ski-Area.png" width=125 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit vizFundamentalTheorem.mlx;"><code>vizFundamentalTheorem.mlx</code><br> | ||
| % <img src = "../Images/FTC-generated.png" width=125 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % <td> | ||
| % <ul style="margin-top:5px; margin-bottom:10px"> | ||
| % <li>Explain the fundamental theorem of calculus.</li> | ||
| % <li>Fluently recognize and apply the rules for computing definite integrals. </li> | ||
| % </ul> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit practiceFundamentalTheorem.mlx;">practiceFundamentalTheorem.mlx</a> | ||
| % </td> | ||
| % </tr> | ||
| % <tr> | ||
| % <th scope="row"> | ||
| % <a name="riem"><b>Riemann Sums</b></a> | ||
| % </th> | ||
| % <td> | ||
| % <a href="matlab:edit integralRiemann.mlx;"><code>integralRiemann.mlx</code><br> | ||
| % <img src = "../Images/animSolar.gif" width=125 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit vizRiemann.mlx;"><code>vizRiemann.mlx</code><br> | ||
| % <img src = "../Images/AreaUnderCurve.png" width=125 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % <td> | ||
| % <ul style="margin-top:5px; margin-bottom:10px"> | ||
| % <li>Discuss the implications for applying calculus in applications | ||
| % with values that are discrete or continuous.</li> | ||
| % <li>Explain and apply the different approximations computed by a left-endpoint, | ||
| % right-endpoint, midpoint, maximum, or minimum method of selecting a height | ||
| % value in a Riemann sum.</li> | ||
| % <li>Explain and apply the trapezoidal approximation.</li> | ||
| % </ul> | ||
| % </td> | ||
| % <td> | ||
| % None currently. If requested, it can be developed. | ||
| % </td> | ||
| % </tr> | ||
| % <tr> | ||
| % <th scope="row"> | ||
| % <a name="sub"><b>Substitution</b> </a> | ||
| % </th> | ||
| % <td> | ||
| % <a href="matlab:edit integralSubstitution.mlx;"><code>integralSubstitution.mlx</code><br> | ||
| % <img src = "../Images/SubstIm.png" width=125 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit vizSubstitution.mlx;"><code>vizSubstitution.mlx</code><br> | ||
| % <img src = "../Images/animSubst.gif" width=125 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % <td> | ||
| % <ul style="margin-top:5px; margin-bottom:10px"> | ||
| % <li>Explain what the method of substitution is and how it works. </li> | ||
| % <li>Compute integrals of combinations of powers, sines, cosines, | ||
| % exponentials and logarithms that are solvable by substitution by hand.</li> | ||
| % </ul> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit practiceSubstitution.mlx;">practiceSubstitution.mlx</a> | ||
| % </td> | ||
| % </tr> | ||
| % <tr> | ||
| % <th> <a name="ibp"> | ||
| % <b>Integration by Parts</b></a> | ||
| % </th> | ||
| % <td> | ||
| % <a href="matlab:edit integralByParts.mlx;"><code>integralByParts.mlx</code><br> | ||
| % <img src = "../Images/IBP.png" width=125 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit vizSubstitution.mlx;"><code>vizSubstitution.mlx</code><br> | ||
| % <img src = "../Images/ibp-generated.png" width=125 style="margin-top:5px; margin-bottom:0px"></a> | ||
| % <td> | ||
| % <ul style="margin-top:5px; margin-bottom:10px"> | ||
| % <li>Explain what the method of integration by parts is and how it works. </li> | ||
| % <li>Compute integrals involving powers, sines, cosines, | ||
| % exponentials and logarithms that are solvable by integration by parts by hand.</li> | ||
| % </ul> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab:edit practiceByParts.mlx;">practiceByParts.mlx</a> | ||
| % </td> | ||
| % </tr> | ||
| % </table> | ||
| % <br> | ||
| % <h2> Calculus Flashcards App </h2> | ||
| % <table border=1 style="margin-left:20px; cellpadding:15px;" align="center"> | ||
| % <tr> | ||
| % <td> | ||
| % <a href="matlab: CalculusFlashcards"> Choose the type of practice. <br> | ||
| % <img | ||
| % src="../Images/CalcFlashcardsSettings.png" | ||
| % height=200 style="margin-top:5px; margin-bottom:0px"> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab: CalculusFlashcards"> Solve problems. <br> | ||
| % <img | ||
| % src="../Images/CalcFlashcardsPractice.png" | ||
| % height=200 style="margin-top:5px; margin-bottom:0px"> | ||
| % </td> | ||
| % <td> | ||
| % <a href="matlab: CalculusFlashcards"> Analyze your progress. <br> | ||
| % <img | ||
| % src="../Images/CalcFlashcardsAnalysis.png" | ||
| % height=200 style="margin-top:5px; margin-bottom:0px"> | ||
| % </td> | ||
| % </tr> | ||
| % </table> | ||
| % </span> | ||
| % </span> | ||
| % </html> | ||
| % | ||
| % Copyright 2022 The MathWorks(TM), Inc. |
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