Please click the folder link above to access the Module 4 instructional content. Module 4 contains the following:
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}Analyze the flow of a one-dimensional dynamical system on a circle.
By the end of this module, you will be able to:
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"body": "\n <div> \n <p>Analyze the flow of a one-dimensional dynamical system on a circle.</p> \n <h3><span>Objectives</span></h3> \n <p>By the end of this module, you will be able to:</p> \n <ul> \n <li>Infer how the behavior of periodic dynamical systems leads to periodic solutions.</li> \n <li>Relate the dynamics that lead to non-uniform oscillations through damping.</li> \n <li>Examine the real-world problem of the dynamics of an overdamped pendulum.</li> \n </ul> \n <h3><span>How to complete this module:</span></h3> \n <ol> \n <li>Watch the video lectures 4A through 4E. </li> \n <li>Complete the reading assignment. </li> \n <li>Participate in the discussion board question. </li> \n <li>Complete the assignment.</li> \n </ol> \n</div>\n "
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}This week's reading assignment includes the following:
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"body": "\n <div> \n <p><span>This week's reading assignment includes the following:</span></p> \n <ul> \n <li><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-contrast=\"auto\" xml:lang=\"EN-US\">Chapter 4</span><span data-contrast=\"auto\" xml:lang=\"EN-US\"> (pp. 95-108) </span></li> \n </ul> </li> \n </ul> \n</div>\n "
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"html": "\n\n<img alt=\"Discussion Board\" src=\"/images/ci/sets/set01/discussion_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_7048735_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=_7048735_1&mode=view\"><span style=\"color:#0067ac;\">Module 4 Discussion</span></a>\n </h3>\n \n </div>\n\n\n\n<div class=\"details\">\n <div class=\"vtbegenerated\"> \n <ul> \n <li>Watch the BBC Classic video from the Trials of Life, posted below. This video is recommended in the reading assignment. You may not want to watch the entire video; however, at least watch from 25:50 to 31:50. </li> \n <li>The video does not have any apparent man-made stimulus. Can you observe natural entrainment in the video?</li> \n <li>Select the link above to be directed to the discussion forum area in this course site.</li> \n <li>Comment on the concept of the “range of entrainment.” Respond to at least two other student's posts'.</li> \n </ul> \n <p><iframe width=\"480\" height=\"270\" frameborder=\"0\" src=\"https://www.dailymotion.com/embed/video/x6von0e\" allowfullscreen=\"\" allow=\"autoplay\"></iframe></p> \n <ul> \n <li><span style=\"font-size: 13px;\">You may also access the discussion forum by going to the discussion area from the left menu bar.</span></li> \n </ul> \n <p style=\"margin-left: 30px;\"></p> \n <div style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal !important;\"></div> \n <p><strong style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: bold; font-style: normal; font-size: 13px; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #ffffff; text-decoration-style: initial; text-decoration-color: initial;\"></strong></p> \n <p><strong style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: bold; font-style: normal; font-size: 13px; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #ffffff; text-decoration-style: initial; text-decoration-color: initial;\">Due: Sunday 11:59 pm</strong></p> \n <p style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px 0px 1em; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px;\"></p> \n <p style=\"margin-left: 30px;\"></p> \n</div>\n </div>\n\n <div id=\"_7048735_1previewModule\" class=\"moduleSample\">\n </div>\n",
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"body": "\n <div> \n <ul> \n <li>Watch the BBC Classic video from the Trials of Life, posted below. This video is recommended in the reading assignment. You may not want to watch the entire video; however, at least watch from 25:50 to 31:50. </li> \n <li>The video does not have any apparent man-made stimulus. Can you observe natural entrainment in the video?</li> \n <li>Select the link above to be directed to the discussion forum area in this course site.</li> \n <li>Comment on the concept of the “range of entrainment.” Respond to at least two other student's posts'.</li> \n </ul> \n \n <ul> \n <li><span>You may also access the discussion forum by going to the discussion area from the left menu bar.</span></li> \n </ul> \n \n \n \n <p><strong>Due: Sunday 11:59 pm</strong></p> \n \n \n</div>\n "
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"rendered": {
"title": "Module 4 Assignment",
"body": "\n <div> \n <ul> \n <li>Complete the following problems from chapter 4 of the Strogatz textbook: <strong>4.1.3</strong> (3 pts.); <strong>4.1.5</strong> (3 pts.); <strong>4.2.1</strong> (3 pts.); <strong>4.2.3</strong> (4 pts.), <strong>4.3.3</strong> (5 pts.); <strong>4.4.2</strong> (5 pts.)</li> \n <li>Upload your work in PDF format by selecting the link above.</li> \n </ul> \n \n <div> \n \n </div> \n <p><strong>Due: Tuesday 11:59 pm</strong></p> \n \n \n</div>\n "
},
"attachments": []
}