Module 6: Two Dimensional Nonlinear Systems

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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=\"_7048755_1\">\n\n <h3 id=\"anonymous_element_10\">\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&amp;content_id=_7048755_1\"><span style=\"color:#0067AC;\">Lectures and Related Content</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_7048755_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Lectures and Related Content\n      </span>\n</a>\n\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 6 instructional content. Module 6 contains the following:</p> \n <ul> \n  <li>06A: Phase Portraits</li> \n  <li>06B:&nbsp;Linearization</li> \n  <li>06C:&nbsp;Example of Linearization</li> \n  <li>06D:&nbsp;Lotka-Volterra Models</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_7048755_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 6 instructional content. Module 6 contains the following:</p> \n <ul> \n  <li>06A: Phase Portraits</li> \n  <li>06B:&nbsp;Linearization</li> \n  <li>06C:&nbsp;Example of Linearization</li> \n  <li>06D:&nbsp;Lotka-Volterra Models</li> \n </ul> \n</div>\n  "
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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=\"_7048754_1\">\n\n <h3 id=\"anonymous_element_8\">\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><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_7048754_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n\n     Module at a Glance\n </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>We begin our study of two dimensional nonlinear dynamical systems, and extend our knowledge of one-dimensional flows and two-dimensional linear flow to nonlinear systems.</p> \n <p><strong><span style=\"font-size: small; color: #0067ac;\">Objectives</span></strong></p> \n <p>By the end of this module, you will be able to:</p> \n <ul> \n  <li>Illustrate fixed points, orbits, trajectories near fixed points and orbits.</li> \n  <li>Judge stability of fixed points and orbits.</li> \n  <li>Linearize a nonlinear system in order to approximate a phase portrait near a fixed point of a corresponding linear system.</li> \n  <li>Consider the population dynamics of competitive species rabbits and sheep.</li> \n </ul> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_9\"><span style=\"font-size: small;\">How to complete this module:</span></h3> \n <ol> \n  <li>Watch the video lectures 6A through 6E.&nbsp;</li> \n  <li>Complete the reading assignment.</li> \n  <li>Respond to the discussion board question.</li> \n  <li>Complete the assignment.</li> \n </ol> \n</div>\n  </div>\n\n <div id=\"_7048754_1previewModule\" class=\"moduleSample\">\n </div>\n",
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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=\"_7048754_1\">\n\n <h3 id=\"anonymous_element_8\">\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><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_7048754_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n\n     Module at a Glance\n </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>We begin our study of two dimensional nonlinear dynamical systems, and extend our knowledge of one-dimensional flows and two-dimensional linear flow to nonlinear systems.</p> \n <p><strong><span style=\"font-size: small; color: #0067ac;\">Objectives</span></strong></p> \n <p>By the end of this module, you will be able to:</p> \n <ul> \n  <li>Illustrate fixed points, orbits, trajectories near fixed points and orbits.</li> \n  <li>Judge stability of fixed points and orbits.</li> \n  <li>Linearize a nonlinear system in order to approximate a phase portrait near a fixed point of a corresponding linear system.</li> \n  <li>Consider the population dynamics of competitive species rabbits and sheep.</li> \n </ul> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_9\"><span style=\"font-size: small;\">How to complete this module:</span></h3> \n <ol> \n  <li>Watch the video lectures 6A through 6E.&nbsp;</li> \n  <li>Complete the reading assignment.</li> \n  <li>Respond to the discussion board question.</li> \n  <li>Complete the assignment.</li> \n </ol> \n</div>\n  </div>\n\n <div id=\"_7048754_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "body": "\n    <div> \n <p>We begin our study of two dimensional nonlinear dynamical systems, and extend our knowledge of one-dimensional flows and two-dimensional linear flow to nonlinear systems.</p> \n <p><strong><span>Objectives</span></strong></p> \n <p>By the end of this module, you will be able to:</p> \n <ul> \n  <li>Illustrate fixed points, orbits, trajectories near fixed points and orbits.</li> \n  <li>Judge stability of fixed points and orbits.</li> \n  <li>Linearize a nonlinear system in order to approximate a phase portrait near a fixed point of a corresponding linear system.</li> \n  <li>Consider the population dynamics of competitive species rabbits and sheep.</li> \n </ul> \n <h3 id=\"anonymous_element_9\"><span>How to complete this module:</span></h3> \n <ol> \n  <li>Watch the video lectures 6A through 6E.&nbsp;</li> \n  <li>Complete the reading assignment.</li> \n  <li>Respond to the discussion board question.</li> \n  <li>Complete the assignment.</li> \n </ol> \n</div>\n  "
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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=\"_7048756_1\">\n\n <h3 id=\"anonymous_element_11\">\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&amp;content_id=_7048756_1&amp;mode=view\"><span style=\"color:#0067AC;\">Readings</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_7048756_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Readings\n      </span>\n</a>\n\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\">.&nbsp;</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\">.&nbsp;</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">CRC Press, 2018.</span><span data-ccp-props=\"{&quot;134233279&quot;:true,&quot;469777462&quot;:[360],&quot;469777927&quot;:[0],&quot;469777928&quot;:[1]}\">&nbsp;</span> \n   <ul> \n    <li><span data-ccp-props=\"{&quot;134233279&quot;:true,&quot;469777462&quot;:[360],&quot;469777927&quot;:[0],&quot;469777928&quot;:[1]}\"></span><span data-contrast=\"auto\" xml:lang=\"EN-US\">Chapter 5</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">&nbsp;(pp. 125-141)&nbsp;</span></li> \n   </ul> </li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_7048756_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_194578_1&content_id=_7048756_1&mode=view",
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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=\"_7048756_1\">\n\n <h3 id=\"anonymous_element_11\">\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&amp;content_id=_7048756_1&amp;mode=view\"><span style=\"color:#0067AC;\">Readings</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_7048756_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Readings\n      </span>\n</a>\n\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\">.&nbsp;</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\">.&nbsp;</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">CRC Press, 2018.</span><span data-ccp-props=\"{&quot;134233279&quot;:true,&quot;469777462&quot;:[360],&quot;469777927&quot;:[0],&quot;469777928&quot;:[1]}\">&nbsp;</span> \n   <ul> \n    <li><span data-ccp-props=\"{&quot;134233279&quot;:true,&quot;469777462&quot;:[360],&quot;469777927&quot;:[0],&quot;469777928&quot;:[1]}\"></span><span data-contrast=\"auto\" xml:lang=\"EN-US\">Chapter 5</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">&nbsp;(pp. 125-141)&nbsp;</span></li> \n   </ul> </li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_7048756_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "title": "Readings",
        "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\">.&nbsp;</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\">.&nbsp;</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">CRC Press, 2018.</span><span data-ccp-props=\"{&quot;134233279&quot;:true,&quot;469777462&quot;:[360],&quot;469777927&quot;:[0],&quot;469777928&quot;:[1]}\">&nbsp;</span> \n   <ul> \n    <li><span data-contrast=\"auto\" xml:lang=\"EN-US\">Chapter 5</span><span data-contrast=\"auto\" xml:lang=\"EN-US\">&nbsp;(pp. 125-141)&nbsp;</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=\"_7048757_1\">\n\n <h3 id=\"anonymous_element_12\">\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&amp;content_id=_7048757_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 6 Discussion</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_7048757_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 6 Discussion\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>Watch this video about the Lotka-Volterra competition model from the perspective of an ecologist. Describe another application where Lotka-Volterra may apply. Is Lotka-Volterra sufficient? Comment on at least two other student described applications.&nbsp;</p> \n <p>You may access the discussion forum by selecting the link above or by going to the discussion area from the left menu bar.</p> \n <div style=\"width: 604px; overflow: hidden;\"> \n  <div style=\"float: left; clear: left;\"> \n   <div style=\"float: left; clear: both;\"> \n    <iframe width=\"320\" height=\"240\" style=\"width: 604px; height: 386px;\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"true\" allow=\"autoplay *; fullscreen *; encrypted-media *; camera *; microphone *;\" src=\"/webapps/osv-kaltura-bb_bb60/content/iframe.jsp?url=..%2FLtiMashupPlayIframeWrapperResponsive%3FplayUrl%3D%2Fbrowseandembed%2Findex%2Fmedia%2Fentryid%2F1_hgscxtx7%2FshowDescription%2Ffalse%2FshowTitle%2Ffalse%2FshowTags%2Ffalse%2FshowDuration%2Ffalse%2FshowOwner%2Ffalse%2FshowUploadDate%2Ffalse%2FplayerSize%2F400x285%2FplayerSkin%2F30749451%2F&amp;thumbnail=https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_hgscxtx7/version/0&amp;title=Lotka-Volterra+Competition+Model&amp;course_id=_194578_1&amp;content_id=_7048757_1\"></iframe> \n   </div> \n  </div> \n  <div id=\"container_0.03935931060109277\" class=\"hide-icon hidden\" style=\"margin-top: 30px; float: left; clear: left;\"> \n   <div style=\"float: left; clear: left; margin-right: 8px;\"> \n    <div style=\"float: left; clear: both;\"> \n     <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"../LtiMashupPlayIframeWrapperResponsive?playUrl=/browseandembed/index/media/entryid/1_hgscxtx7/showDescription/false/showTitle/false/showTags/false/showDuration/false/showOwner/false/showUploadDate/false/playerSize/400x285/playerSkin/30749451/&amp;course_id=_194578_1\" target=\"_blank\" title=\"Lotka-Volterra Competition Model\"> <img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_hgscxtx7/version/0\"> </a> \n    </div> \n    <div style=\"float: left; clear: both; width: 100%; background: url('/images/ci/ng/rumble_button_back.gif') 50% 50%; padding-top: 2px; padding-bottom: 2px; text-decoration: none; color: #333333; text-align: center;\"> \n     <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"../LtiMashupPlayIframeWrapperResponsive?playUrl=/browseandembed/index/media/entryid/1_hgscxtx7/showDescription/false/showTitle/false/showTags/false/showDuration/false/showOwner/false/showUploadDate/false/playerSize/400x285/playerSkin/30749451/&amp;course_id=_194578_1\" target=\"_blank\" title=\"Lotka-Volterra Competition Model\"> Watch Media </a> \n    </div> \n   </div> \n   <div style=\"float: left; clear: right;\"> \n    <table style=\"margin: 0px !important; border-collapse: collapse;\"> \n     <tbody> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\"><b>Name:</b></td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\"><b>Lotka-Volterra Competition Model</b></td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Duration:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">&nbsp;</td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Added:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">07 Aug 2019 11:13 AM</td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Added By:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">DIANE BANNER</td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Description:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">&nbsp;</td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Tags:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">535.614, stein</td> \n      </tr> \n     </tbody> \n    </table> \n   </div> \n  </div> \n </div> \n <p><br></p> \n <div style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal !important;\"> \n  <strong style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: bold; font-style: inherit; font-size: 13px;\"><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px;\"></span></strong> \n </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;\">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</div>\n  </div>\n\n <div id=\"_7048757_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_194578_1&content_id=_7048757_1&mode=view",
        "title": "Module 6 Discussion"
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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=\"_7048757_1\">\n\n <h3 id=\"anonymous_element_12\">\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&amp;content_id=_7048757_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 6 Discussion</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_7048757_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 6 Discussion\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>Watch this video about the Lotka-Volterra competition model from the perspective of an ecologist. Describe another application where Lotka-Volterra may apply. Is Lotka-Volterra sufficient? Comment on at least two other student described applications.&nbsp;</p> \n <p>You may access the discussion forum by selecting the link above or by going to the discussion area from the left menu bar.</p> \n <div style=\"width: 604px; overflow: hidden;\"> \n  <div style=\"float: left; clear: left;\"> \n   <div style=\"float: left; clear: both;\"> \n    <iframe width=\"320\" height=\"240\" style=\"width: 604px; height: 386px;\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"true\" allow=\"autoplay *; fullscreen *; encrypted-media *; camera *; microphone *;\" src=\"/webapps/osv-kaltura-bb_bb60/content/iframe.jsp?url=..%2FLtiMashupPlayIframeWrapperResponsive%3FplayUrl%3D%2Fbrowseandembed%2Findex%2Fmedia%2Fentryid%2F1_hgscxtx7%2FshowDescription%2Ffalse%2FshowTitle%2Ffalse%2FshowTags%2Ffalse%2FshowDuration%2Ffalse%2FshowOwner%2Ffalse%2FshowUploadDate%2Ffalse%2FplayerSize%2F400x285%2FplayerSkin%2F30749451%2F&amp;thumbnail=https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_hgscxtx7/version/0&amp;title=Lotka-Volterra+Competition+Model&amp;course_id=_194578_1&amp;content_id=_7048757_1\"></iframe> \n   </div> \n  </div> \n  <div id=\"container_0.03935931060109277\" class=\"hide-icon hidden\" style=\"margin-top: 30px; float: left; clear: left;\"> \n   <div style=\"float: left; clear: left; margin-right: 8px;\"> \n    <div style=\"float: left; clear: both;\"> \n     <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"../LtiMashupPlayIframeWrapperResponsive?playUrl=/browseandembed/index/media/entryid/1_hgscxtx7/showDescription/false/showTitle/false/showTags/false/showDuration/false/showOwner/false/showUploadDate/false/playerSize/400x285/playerSkin/30749451/&amp;course_id=_194578_1\" target=\"_blank\" title=\"Lotka-Volterra Competition Model\"> <img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_hgscxtx7/version/0\"> </a> \n    </div> \n    <div style=\"float: left; clear: both; width: 100%; background: url('/images/ci/ng/rumble_button_back.gif') 50% 50%; padding-top: 2px; padding-bottom: 2px; text-decoration: none; color: #333333; text-align: center;\"> \n     <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"../LtiMashupPlayIframeWrapperResponsive?playUrl=/browseandembed/index/media/entryid/1_hgscxtx7/showDescription/false/showTitle/false/showTags/false/showDuration/false/showOwner/false/showUploadDate/false/playerSize/400x285/playerSkin/30749451/&amp;course_id=_194578_1\" target=\"_blank\" title=\"Lotka-Volterra Competition Model\"> Watch Media </a> \n    </div> \n   </div> \n   <div style=\"float: left; clear: right;\"> \n    <table style=\"margin: 0px !important; border-collapse: collapse;\"> \n     <tbody> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\"><b>Name:</b></td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\"><b>Lotka-Volterra Competition Model</b></td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Duration:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">&nbsp;</td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Added:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">07 Aug 2019 11:13 AM</td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Added By:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">DIANE BANNER</td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Description:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">&nbsp;</td> \n      </tr> \n      <tr style=\"vertical-align: top;\"> \n       <td style=\"padding: 0px !important;\">Tags:</td> \n       <td style=\"padding: 0px 0px 0px 20px !important;\">535.614, stein</td> \n      </tr> \n     </tbody> \n    </table> \n   </div> \n  </div> \n </div> \n <p><br></p> \n <div style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal !important;\"> \n  <strong style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: bold; font-style: inherit; font-size: 13px;\"><span data-contrast=\"auto\" xml:lang=\"EN-US\" style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px;\"></span></strong> \n </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;\">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</div>\n  </div>\n\n <div id=\"_7048757_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "title": "Module 6 Discussion",
        "body": "\n    <div> \n <p>Watch this video about the Lotka-Volterra competition model from the perspective of an ecologist. Describe another application where Lotka-Volterra may apply. Is Lotka-Volterra sufficient? Comment on at least two other student described applications.&nbsp;</p> \n <p>You may access the discussion forum by selecting the link above or by going to the discussion area from the left menu bar.</p> \n <div> \n  <div> \n   <div> \n     \n   </div> \n  </div> \n  <div id=\"container_0.03935931060109277\"> \n   <div> \n    <div> \n     <a href=\"../LtiMashupPlayIframeWrapperResponsive?playUrl=/browseandembed/index/media/entryid/1_hgscxtx7/showDescription/false/showTitle/false/showTags/false/showDuration/false/showOwner/false/showUploadDate/false/playerSize/400x285/playerSkin/30749451/&amp;course_id=_194578_1\" target=\"_blank\" title=\"Lotka-Volterra Competition Model\">  </a> \n    </div> \n    <div> \n     <a href=\"../LtiMashupPlayIframeWrapperResponsive?playUrl=/browseandembed/index/media/entryid/1_hgscxtx7/showDescription/false/showTitle/false/showTags/false/showDuration/false/showOwner/false/showUploadDate/false/playerSize/400x285/playerSkin/30749451/&amp;course_id=_194578_1\" target=\"_blank\" title=\"Lotka-Volterra Competition Model\"> Watch Media </a> \n    </div> \n   </div> \n   <div> \n    <table> \n     <tbody> \n      <tr> \n       <td><b>Name:</b></td> \n       <td><b>Lotka-Volterra Competition Model</b></td> \n      </tr> \n      <tr> \n       <td>Duration:</td> \n       <td>&nbsp;</td> \n      </tr> \n      <tr> \n       <td>Added:</td> \n       <td>07 Aug 2019 11:13 AM</td> \n      </tr> \n      <tr> \n       <td>Added By:</td> \n       <td>DIANE BANNER</td> \n      </tr> \n      <tr> \n       <td>Description:</td> \n       <td>&nbsp;</td> \n      </tr> \n      <tr> \n       <td>Tags:</td> \n       <td>535.614, stein</td> \n      </tr> \n     </tbody> \n    </table> \n   </div> \n  </div> \n </div> \n  \n <div> \n   \n </div> \n <p><strong>Due: Sunday 11:59 pm</strong></p> \n  \n</div>\n  "
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        "title": "Module 6 Assignment",
        "body": "\n    <div> \n <ul> \n  <li>Complete the following problems from chapter 6 of&nbsp;the Strogatz&nbsp;textbook:&nbsp;<span><strong>6.1.1</strong> (4 pts.); <strong>6.1.5</strong> (4 pts.);&nbsp;<strong>6.3.1</strong> (5 pts.); <strong>6.3.3</strong> (5 pts.);&nbsp;<strong>6.4.1</strong> (6 pts.)</span></li> \n  <li><span>Upload your work in PDF format by selecting the link above.</span></li> \n </ul> \n  \n <div> \n   \n </div> \n <p><strong>Due: Tuesday 11:59&nbsp;pm</strong></p> \n  \n</div>\n  "
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