Please click the folder link above to access the Module 1 instructional content. Module 1 contains the following:
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"html": "\n\n<img alt=\"Content Folder\" src=\"/images/ci/sets/set01/folder_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_7048699_1\">\n\n <h3>\n <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n <a href=\"/webapps/blackboard/content/listContent.jsp?course_id=_194578_1&content_id=_7048699_1\"><span style=\"color:#0067AC;\">Lectures and Related Content</span></a>\n </h3>\n \n </div>\n\n\n\n<div class=\"details\">\n <div class=\"vtbegenerated\"> \n <p>Please click the folder link above to access the Module 1 instructional content. Module 1 contains the following:</p> \n <ul> \n <li>Lecture 1A: Geometric Consideration of Differential Equations</li> \n <li>Lecture 1B: Fixed Points of Stability</li> \n <li>Lecture 1C: Fixed Points of Stability, another example</li> \n <li>Lecture 1D: Population Growth</li> \n <li>Lecture 1E: Linear Stability Analysis</li> \n <li>Lecture1F: Linear Stability Analysis, another example</li> \n </ul> \n</div>\n </div>\n\n <div id=\"_7048699_1previewModule\" class=\"moduleSample\">\n </div>\n",
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"body": "\n <div> \n <p>Please click the folder link above to access the Module 1 instructional content. Module 1 contains the following:</p> \n <ul> \n <li>Lecture 1A: Geometric Consideration of Differential Equations</li> \n <li>Lecture 1B: Fixed Points of Stability</li> \n <li>Lecture 1C: Fixed Points of Stability, another example</li> \n <li>Lecture 1D: Population Growth</li> \n <li>Lecture 1E: Linear Stability Analysis</li> \n <li>Lecture1F: Linear Stability Analysis, another example</li> \n </ul> \n</div>\n "
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}This module serves as a review of first order linear differential equations. Most of these equations are general to the field of ordinary differential equations and the techniques used will inform subsequent modules.
By the end of this module, you will be able to:
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"html": "\n\n<img alt=\"Item\" src=\"/images/ci/sets/set01/document_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_7048698_1\">\n\n <h3>\n <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n\n <span style=\"color:#0067ac;\">Module at a Glance</span>\n </h3>\n \n </div>\n\n\n\n<div class=\"details\">\n <div class=\"vtbegenerated\"> \n <h3><strong>In this course module weeks begin on Wednesday.</strong></h3> \n <p>This module serves as a review of first order linear differential equations. Most of these equations are general to the field of ordinary differential equations and the techniques used will inform subsequent modules.</p> \n <h3 style=\"color: #0067ac;\"><span style=\"font-size: small;\">Objectives</span></h3> \n <p>By the end of this module, you will be able to:</p> \n <ul> \n <li>Solve first order initial value problems. </li> \n <li>Identify fixed points and classify sinks and sources. </li> \n <li>Describe solutions with a phase line. </li> \n <li>Identify stability and bifurcation. </li> \n <li>Discuss real world applications for logistics growth. </li> \n </ul> \n <h3 style=\"color: #0067ac;\"><span style=\"font-size: small;\">How to complete this module:</span></h3> \n <ol> \n <li>If you have not already done so view the instructor and course introduction, and read the other information posted in the Getting Started section. </li> \n <li> Also ensure that you have read through the Syllabus and Course Outline. </li> \n <li>Introduce yourself to the class in the Introductions forum. </li> \n <li>Watch the video lectures 1A through 1F. </li> \n <li>Complete the reading assignment. </li> \n <li>Participate in the discussion assignment. </li> \n <li>Complete the problem assignment.</li> \n </ol> \n</div>\n </div>\n\n <div id=\"_7048698_1previewModule\" class=\"moduleSample\">\n </div>\n"
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}This week's reading assignment includes the following:
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"html": "\n\n<img alt=\"Tools Area\" src=\"/webapps/ATLS-AresCourseReserves-bb_bb60/images/ares.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_7048700_1\">\n\n <h3>\n <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n <a href=\"/webapps/blackboard/content/launchLink.jsp?course_id=_194578_1&content_id=_7048700_1&mode=view\"><span style=\"color:#0067AC;\">Readings</span></a>\n </h3>\n \n </div>\n\n\n\n<div class=\"details\">\n <div class=\"vtbegenerated\"> \n <p><span style=\"font-size: 13px;\">This week's reading assignment includes the following:</span></p> \n <ul> \n <li><span style=\"font-size: 13px;\"></span><span data-contrast=\"auto\" xml:lang=\"EN-US\">Strogatz, Steven H</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">. </span><em><span data-contrast=\"none\" xml:lang=\"EN-US\">Nonlinear Dynamics and Chaos with Student Solutions Manual: With Applications to Physics, Biology, Chemistry, and Engineering</span></em><span data-contrast=\"auto\" xml:lang=\"EN-US\">. </span><span data-contrast=\"auto\" xml:lang=\"EN-US\">CRC Press, 2018.</span><span data-ccp-props=\"{"134233279":true,"469777462":[360],"469777927":[0],"469777928":[1]}\"> </span> \n <ul> \n <li><span data-ccp-props=\"{"134233279":true,"469777462":[360],"469777927":[0],"469777928":[1]}\"></span><span data-contrast=\"auto\" xml:lang=\"EN-US\">Chapter 2</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> (pp. 15-31) </span></li> \n </ul> </li> \n </ul> \n</div>\n </div>\n\n <div id=\"_7048700_1previewModule\" class=\"moduleSample\">\n </div>\n",
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}In the discussion forum area titled Introductions, respond to the following prompt:
Due: Tuesday 11:59 pm
The discussion forum may be access by selecting the link above or by going to the Discussions area from the left menu bar.
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"body": "\n <div> \n <p>In the discussion forum area titled Introductions, respond to the following prompt:</p> \n <ul> \n <li>Let us know a little bit about yourself. Tell us why you are taking the course, what you hope to learn from the course, and something interesting and unique about yourself. </li> \n <li>Upload a picture of yourself or a representative icon. (Do this by going to the My Institution tab at the top of the Blackboard interface, then choose Personal Information.)</li> \n <li>Greet at least two of your classmates</li> \n </ul> \n <p><strong>Due: Tuesday 11:59 pm</strong></p> \n <p>The discussion forum may be access by selecting the link above or by going to the Discussions area from the left menu bar.</p> \n \n</div>\n "
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}We will be discussing videos (and other media) that demonstrate real-world applications of the math content we are working on each week. After viewing the video below, provide a responds to the prompt by clicking on the discussion link above.
Respond to the following prompt when you comment on the video. In addition, respond to at least two of your classmates posts.
The discussion activity is worth 12 points.
Due: Sunday 11:59 pm
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"html": "\n\n<img alt=\"Assignment\" src=\"/images/ci/sets/set01/assignment_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_7048703_1\">\n\n <h3>\n <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n <a href=\"/webapps/assignment/uploadAssignment?content_id=_7048703_1&course_id=_194578_1&group_id=&mode=view\"><span style=\"color:#0067ac;\">Module 1 Assignment</span></a>\n </h3>\n \n </div>\n\n\n\n<div class=\"details\">\n <div class=\"vtbegenerated\"> \n <div> \n <ul> \n <li><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">Complete the following problems from </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">chapter 2 of the </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">Strogatz</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">text</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">book</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">:</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.2.1</strong> (5 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.2.4</strong> (5 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.2.8</strong> (3 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.2.9</strong> (3 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.4.1</strong> (4 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.4.2</strong> (4 pts.)</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">.</span></li> \n <li><span data-ccp-props=\"{"134233279":true}\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"></span><span data-contrast=\"auto\" xml:lang=\"EN-US\">Upload your work in PDF format by selecting the link above. </span><span data-ccp-props=\"{"134233279":true}\"> </span></li> \n </ul> \n </div> \n <div> \n <span data-contrast=\"auto\" xml:lang=\"EN-US\"></span> \n <span data-ccp-props=\"{}\"> </span> \n </div> \n <div> \n <strong><span data-contrast=\"auto\" xml:lang=\"EN-US\">Due: Tuesday 11:59 PM</span><span data-ccp-props=\"{}\"> </span></strong> \n </div> \n <p><br></p> \n</div>\n </div>\n\n <div id=\"_7048703_1previewModule\" class=\"moduleSample\">\n </div>\n",
"url": "https://blackboard.jhu.edu/webapps/assignment/uploadAssignment?content_id=_7048703_1&course_id=_194578_1&group_id=&mode=view",
"title": "Module 1 Assignment"
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"html": "\n\n<img alt=\"Assignment\" src=\"/images/ci/sets/set01/assignment_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_7048703_1\">\n\n <h3>\n <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n <a href=\"/webapps/assignment/uploadAssignment?content_id=_7048703_1&course_id=_194578_1&group_id=&mode=view\"><span style=\"color:#0067ac;\">Module 1 Assignment</span></a>\n </h3>\n \n </div>\n\n\n\n<div class=\"details\">\n <div class=\"vtbegenerated\"> \n <div> \n <ul> \n <li><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">Complete the following problems from </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">chapter 2 of the </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">Strogatz</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">text</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">book</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">:</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.2.1</strong> (5 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.2.4</strong> (5 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.2.8</strong> (3 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.2.9</strong> (3 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.4.1</strong> (4 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"><strong>2.4.2</strong> (4 pts.)</span><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\">.</span></li> \n <li><span data-ccp-props=\"{"134233279":true}\" style=\"font-family: 'Open Sans', sans-serif; font-size: small;\"></span><span data-contrast=\"auto\" xml:lang=\"EN-US\">Upload your work in PDF format by selecting the link above. </span><span data-ccp-props=\"{"134233279":true}\"> </span></li> \n </ul> \n </div> \n <div> \n <span data-contrast=\"auto\" xml:lang=\"EN-US\"></span> \n <span data-ccp-props=\"{}\"> </span> \n </div> \n <div> \n <strong><span data-contrast=\"auto\" xml:lang=\"EN-US\">Due: Tuesday 11:59 PM</span><span data-ccp-props=\"{}\"> </span></strong> \n </div> \n <p><br></p> \n</div>\n </div>\n\n <div id=\"_7048703_1previewModule\" class=\"moduleSample\">\n </div>\n",
"url": "https://blackboard.jhu.edu/webapps/assignment/uploadAssignment?content_id=_7048703_1&course_id=_194578_1&group_id=&mode=view",
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"title": "Module 1 Assignment",
"body": "\n <div> \n <div> \n <ul> \n <li><span data-contrast=\"auto\" xml:lang=\"EN-US\">Complete the following problems from </span><span data-contrast=\"auto\" xml:lang=\"EN-US\">chapter 2 of the </span><span data-contrast=\"auto\" xml:lang=\"EN-US\">Strogatz</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\">text</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">book</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">:</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\"><strong>2.2.1</strong> (5 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\"><strong>2.2.4</strong> (5 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\"><strong>2.2.8</strong> (3 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\"><strong>2.2.9</strong> (3 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\"><strong>2.4.1</strong> (4 pts.);</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> </span><span data-contrast=\"auto\" xml:lang=\"EN-US\"><strong>2.4.2</strong> (4 pts.)</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">.</span></li> \n <li><span data-contrast=\"auto\" xml:lang=\"EN-US\">Upload your work in PDF format by selecting the link above. </span><span data-ccp-props=\"{"134233279":true}\"> </span></li> \n </ul> \n </div> \n <div> \n \n <span data-ccp-props=\"{}\"> </span> \n </div> \n <div> \n <strong><span data-contrast=\"auto\" xml:lang=\"EN-US\">Due: Tuesday 11:59 PM</span><span data-ccp-props=\"{}\"> </span></strong> \n </div> \n \n</div>\n "
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