Lectures & Content

6A: Introducing the Laplace Transform

Cell description

Duration: 00:11:01

 
Technical
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6B: Some Examples of Simple Laplace Transforms

Cell description

Duration: 00:06:06

 
Technical
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Example 1: First Order Linear ODE Initial Value Problem

Cell description

Duration: 00:03:35

 
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6C: Radioactive Decay Solved by Laplace Transform

Cell description

Duration: 00:05:01

 
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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p><strong>Duration: 00:05:01</strong></p> \n <table cellpadding=\"0\" cellspacing=\"0\" style=\"margin: 0 !important;\"> \n  <tbody> \n   <tr valign=\"top\"> \n    <td style=\"padding-right: 10px; padding-top: 10px; padding-bottom: 10px;\"><a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_0dnkosmc&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6C\"><img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_0dnkosmc/version/100000/acv/81\"> </a> \n     <div style=\"background-image: url('/images/ci/ng/rumble_button_back.gif'); padding: 2px; text-decoration: none; color: #333333; text-align: center; background-position: 50% 50%;\"> \n      <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_0dnkosmc&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6C\">Watch Video</a> \n     </div> </td> \n    <td style=\"padding-top: 10px;\">&nbsp;</td> \n   </tr> \n  </tbody> \n </table> \n</div>\n  </div>\n\n <div id=\"_5740780_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_169707_1&content_id=_5740772_1#",
        "title": "\n    \n  \n\n\n\n     6C: Radioactive Decay Solved by Laplace Transform\n \n"
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src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('fcebf6c055a54117bbcb2f9abcb9e6ee');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script> (<span id=\"/xid-51355568_2_fileSize\">135.686 KB</span>) </li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p><strong>Duration: 00:05:01</strong></p> \n <table cellpadding=\"0\" cellspacing=\"0\" style=\"margin: 0 !important;\"> \n  <tbody> \n   <tr valign=\"top\"> \n    <td style=\"padding-right: 10px; padding-top: 10px; padding-bottom: 10px;\"><a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_0dnkosmc&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6C\"><img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_0dnkosmc/version/100000/acv/81\"> </a> \n     <div style=\"background-image: url('/images/ci/ng/rumble_button_back.gif'); padding: 2px; text-decoration: none; color: #333333; text-align: center; background-position: 50% 50%;\"> \n      <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" 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}

Example 2: Superposition Solutions for Linear First Order ODEs

Cell description

Duration: 00:04:28

 
Technical
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        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_169707_1&content_id=_5740772_1#",
        "title": "\n    \n  \n\n\n\n     Example 2: Superposition Solutions for Linear First Order ODEs\n \n"
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        "title": "Example 2: Superposition Solutions for Linear First Order ODEs",
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6D: Damped Harmonic Oscillator

Cell description

Duration: 00:06:53

 
Technical
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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p><strong>Duration: 00:06:53</strong></p> \n <table cellpadding=\"0\" cellspacing=\"0\" style=\"margin: 0 !important;\"> \n  <tbody> \n   <tr valign=\"top\"> \n    <td style=\"padding-right: 10px; padding-top: 10px; padding-bottom: 10px;\"><a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_1cspbfrr&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6D\"><img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_1cspbfrr/version/100000/acv/81\"> </a> \n     <div style=\"background-image: url('/images/ci/ng/rumble_button_back.gif'); padding: 2px; text-decoration: none; color: #333333; text-align: center; background-position: 50% 50%;\"> \n      <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" 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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p><strong>Duration: 00:06:53</strong></p> \n <table cellpadding=\"0\" cellspacing=\"0\" style=\"margin: 0 !important;\"> \n  <tbody> \n   <tr valign=\"top\"> \n    <td style=\"padding-right: 10px; padding-top: 10px; padding-bottom: 10px;\"><a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_1cspbfrr&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6D\"><img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_1cspbfrr/version/100000/acv/81\"> </a> \n     <div style=\"background-image: url('/images/ci/ng/rumble_button_back.gif'); padding: 2px; text-decoration: none; color: #333333; text-align: center; background-position: 50% 50%;\"> \n      <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" 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6E: Control of Blood Sugar as Seen by Minimal Compartment Models

Cell description

Duration: 00:08:41

 
Technical
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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p><strong>Duration: 00:08:41</strong></p> \n <table cellpadding=\"0\" cellspacing=\"0\" style=\"margin: 0 !important;\"> \n  <tbody> \n   <tr valign=\"top\"> \n    <td style=\"padding-right: 10px; padding-top: 10px; padding-bottom: 10px;\"><a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_mlvt6d9f&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6E\"><img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_mlvt6d9f/version/100000/acv/81\"> </a> \n     <div style=\"background-image: url('/images/ci/ng/rumble_button_back.gif'); padding: 2px; text-decoration: none; color: #333333; text-align: center; background-position: 50% 50%;\"> \n      <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" 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        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_169707_1&content_id=_5740772_1#",
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u_floatThis-left\"><ul class=\"attachments clearfix\"><li><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_51355572_2\"></span></span>\n<a href=\"/bbcswebdav/pid-5740783-dt-content-rid-51355572_2/xid-51355572_2\" target=\"_blank\"><img src=\"/images/ci/ng/cal_year_event.gif\" alt=\"File\">&nbsp;Module 6E Slides.pdf</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/Module%206/6E_Control_of_Blood_Sugar_compartment_models.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd01s2&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355572_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p><strong>Duration: 00:08:41</strong></p> \n <table cellpadding=\"0\" cellspacing=\"0\" style=\"margin: 0 !important;\"> \n  <tbody> \n   <tr valign=\"top\"> \n    <td style=\"padding-right: 10px; padding-top: 10px; padding-bottom: 10px;\"><a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_mlvt6d9f&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6E\"><img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_mlvt6d9f/version/100000/acv/81\"> </a> \n     <div style=\"background-image: url('/images/ci/ng/rumble_button_back.gif'); padding: 2px; text-decoration: none; color: #333333; text-align: center; background-position: 50% 50%;\"> \n      <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" 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}

Example 3: First Order ODEs with Physical Inputs

Cell description

Duration: 00:04:57

 
Technical
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        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_169707_1&content_id=_5740772_1#",
        "title": "\n    \n  \n\n\n\n     Example 3: First Order ODEs with Physical Inputs\n \n"
    },
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        "title": "Example 3: First Order ODEs with Physical Inputs",
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}

Example 4: First Order ODEs Superposition with Delay

Cell description

Duration: 00:02:31

 
Technical
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        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_169707_1&content_id=_5740772_1#",
        "title": "\n    \n  \n\n\n\n     Example 4: First Order ODEs Superposition with Delay\n \n"
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    "has_attachments": 0,
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        "title": "Example 4: First Order ODEs Superposition with Delay",
        "body": "\n    <div> \n <p><strong>Duration: 00:02:31</strong></p> \n <table cellpadding=\"0\" cellspacing=\"0\"> \n  <tbody> \n   <tr valign=\"top\"> \n    <td><a href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_nwxyp950&amp;course_id=_169707_1\" target=\"_blank\" title=\"Example 4: First Order ODEs Superposition with Delay\"> </a> \n     <div> \n      <a href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_nwxyp950&amp;course_id=_169707_1\" target=\"_blank\" title=\"Example 4: First Order ODEs Superposition with Delay\">Watch Video</a> \n     </div> </td> \n    <td>&nbsp;</td> \n   </tr> \n  </tbody> \n </table> \n</div>\n  "
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6F: Glucose and Insulin Control in Maximal Models

Cell description

Duration: 00:09:54

 
Technical
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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p><strong>Duration: 00:09:54</strong></p> \n <table cellpadding=\"0\" cellspacing=\"0\" style=\"margin: 0 !important;\"> \n  <tbody> \n   <tr valign=\"top\"> \n    <td style=\"padding-right: 10px; padding-top: 10px; padding-bottom: 10px;\"><a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_zykp8yg6&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6F\"><img border=\"0\" src=\"https://cdnsecakmi.kaltura.com/p/1458241/sp/145824100/thumbnail/entry_id/1_zykp8yg6/version/100000/acv/81\"> </a> \n     <div style=\"background-image: url('/images/ci/ng/rumble_button_back.gif'); padding: 2px; text-decoration: none; color: #333333; text-align: center; background-position: 50% 50%;\"> \n      <a class=\"lb\" style=\"text-decoration: none; color: #333333;\" href=\"https://blackboard.jhu.edu/webapps/osv-kaltura-bb_bb60/jsp/viewContent1_Iframe.jsp?entry_id=1_zykp8yg6&amp;course_id=_169707_1\" target=\"_blank\" title=\"Module6F\">Watch Video</a> \n     </div> </td> \n    <td style=\"padding-top: 10px;\">&nbsp;</td> \n   </tr> \n  </tbody> \n </table> \n</div>\n  </div>\n\n <div id=\"_5740786_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Example 5: First Order ODEs Response to Step Input

Cell description

Duration: 00:05:01

 
Technical
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