Module 10: Conformal Mapping

Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

By the end of this module, you will be able to:

  • Use linear fractional transformations to map among lines and circles (half-planes and discs).
  • Apply the reflection principle for lines and circles to identify symmetries associated with certain mappings and to construct rational mappings from half-planes and discs into half-planes and discs.
  • Construct rational Laplace and z-transforms that meet certain prescribed conditions on the Fourier transform.

How to Complete This Module:

  1. View the video lectures in sequence. As you go through the videos, participate in the class discussion group.
  2. Read the assigned problems.
  3. Read the instructions for Mini-Project 2. Note that Mini-Project 2 covers material from Modules 10 and 11.
  4. Read the Lecture Notes that accompany the module.
  5. Submit Assignment 10. As you work on the problems:
    • Participate in the class discussions.
    • Refer to the notes or review certain videos as necessary.
    • You may find that you need to review some topics covered in prior modules. It is important to pose questions to the instructor who can guide you through a review process if it is necessary.
  6. Start work on Mini-Project 2. In principle you should be able to do all of it based on the material from this module, though the next module (which continues the study of conformal mapping) will reinforce your understanding of the subject.
Technical
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Readings

Cell description
  • Module 10 Lecture Notes (PDF) : Read the Lecture Notes at least once through, after viewing the complete set of videos. The subject matter is a bit visualize in nature, focusing significantly on certain types of symmetry. A number of examples are illustrated in Figures. Make sure you understand the concept behind each Figure.
  • A portion of the topics in this module are covered in the Stein book, with the specific references given in the Assignment pages. However, there is no single external source to supplement the notes. You should contact the instructor if there is a particular topic you would like to see in another source, whether for now or after the course ends. In any case, your time is most productively spent on going through the given notes and videos, working on the problems and Mini-Project, and discussing the material with other students and the instructor.
Technical
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href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392379-dt-content-rid-92402703_2/xid-92402703_2\" target=\"_blank\" rel=\"noreferrer noopener\">Module 10 Lecture Notes&nbsp;(PDF)</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/Module%2010%20Lecture%20Notes.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kp&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402703_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('c2a8ba334de94b7d84b90ddf8619db39');\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>:&nbsp;Read the Lecture Notes at least once through, after viewing the complete 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target=\"_blank\" rel=\"noreferrer noopener\">Module 10 Lecture Notes&nbsp;(PDF)</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/Module%2010%20Lecture%20Notes.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kp&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402703_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('c2a8ba334de94b7d84b90ddf8619db39');\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>:&nbsp;Read the Lecture Notes at least once through, after viewing the complete 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data-ally-scoreindicator=\"_92402395_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402395_2/xid-92402395_2\" target=\"_blank\" rel=\"noreferrer noopener\">10D_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10D_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kx&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402395_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_cb39495cb1a043b5956e23274ad831fd,open_with_browser_cb39495cb1a043b5956e23274ad831fd,open_with_bbdrive_cb39495cb1a043b5956e23274ad831fd,openWebId_cb39495cb1a043b5956e23274ad831fd,view360Id_cb39495cb1a043b5956e23274ad831fd,*separator*,*separator*,ax-ally-placeholder_cb39495cb1a043b5956e23274ad831fd,ax-ally-markForAxAnalysis_cb39495cb1a043b5956e23274ad831fd,*separator*,*separator*,content_settings_cb39495cb1a043b5956e23274ad831fd,content_editSettings_cb39495cb1a043b5956e23274ad831fd,content_edit_cb39495cb1a043b5956e23274ad831fd,properties_folder_cb39495cb1a043b5956e23274ad831fd,itemcarot_managerecord_cb39495cb1a043b5956e23274ad831fd,comments_tool_cb39495cb1a043b5956e23274ad831fd,subscriptions_list_cb39495cb1a043b5956e23274ad831fd,content_readfile_cb39495cb1a043b5956e23274ad831fd,content_overwrite_cb39495cb1a043b5956e23274ad831fd,passes_tool_cb39495cb1a043b5956e23274ad831fd,permissions_tool_cb39495cb1a043b5956e23274ad831fd,content_add_alignment_cb39495cb1a043b5956e23274ad831fd,content_tracking_cb39495cb1a043b5956e23274ad831fd,content_versions_cb39495cb1a043b5956e23274ad831fd,*separator*,*separator*,bookmarkId_cb39495cb1a043b5956e23274ad831fd,itemsId_cb39495cb1a043b5956e23274ad831fd,packagesId_cb39495cb1a043b5956e23274ad831fd,emailId_cb39495cb1a043b5956e23274ad831fd,removeContentFolderId_cb39495cb1a043b5956e23274ad831fd,*separator*,copyContentId_cb39495cb1a043b5956e23274ad831fd,moveContentId_cb39495cb1a043b5956e23274ad831fd,*separator*,removeContentId_cb39495cb1a043b5956e23274ad831fd,*separator*,Metadata_General_cb39495cb1a043b5956e23274ad831fd,Metadata_Dublin_Core_cb39495cb1a043b5956e23274ad831fd,Metadata_IMS_cb39495cb1a043b5956e23274ad831fd,Metadata_Full_IMS_cb39495cb1a043b5956e23274ad831fd,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_cb39495cb1a043b5956e23274ad831fd\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_cb39495cb1a043b5956e23274ad831fd',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_cb39495cb1a043b5956e23274ad831fd',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_cb39495cb1a043b5956e23274ad831fd',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"92402395_2_fileReadWritePermAvl\" id=\"92402395_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" 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('cb39495cb1a043b5956e23274ad831fd');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402396_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402396_2/xid-92402396_2\" target=\"_blank\" rel=\"noreferrer noopener\">10E_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10E_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kz&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402396_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_77e9941ef18c45659b6c35cc80988a56,open_with_browser_77e9941ef18c45659b6c35cc80988a56,open_with_bbdrive_77e9941ef18c45659b6c35cc80988a56,openWebId_77e9941ef18c45659b6c35cc80988a56,view360Id_77e9941ef18c45659b6c35cc80988a56,*separator*,*separator*,ax-ally-placeholder_77e9941ef18c45659b6c35cc80988a56,ax-ally-markForAxAnalysis_77e9941ef18c45659b6c35cc80988a56,*separator*,*separator*,content_settings_77e9941ef18c45659b6c35cc80988a56,content_editSettings_77e9941ef18c45659b6c35cc80988a56,content_edit_77e9941ef18c45659b6c35cc80988a56,properties_folder_77e9941ef18c45659b6c35cc80988a56,itemcarot_managerecord_77e9941ef18c45659b6c35cc80988a56,comments_tool_77e9941ef18c45659b6c35cc80988a56,subscriptions_list_77e9941ef18c45659b6c35cc80988a56,content_readfile_77e9941ef18c45659b6c35cc80988a56,content_overwrite_77e9941ef18c45659b6c35cc80988a56,passes_tool_77e9941ef18c45659b6c35cc80988a56,permissions_tool_77e9941ef18c45659b6c35cc80988a56,content_add_alignment_77e9941ef18c45659b6c35cc80988a56,content_tracking_77e9941ef18c45659b6c35cc80988a56,content_versions_77e9941ef18c45659b6c35cc80988a56,*separator*,*separator*,bookmarkId_77e9941ef18c45659b6c35cc80988a56,itemsId_77e9941ef18c45659b6c35cc80988a56,packagesId_77e9941ef18c45659b6c35cc80988a56,emailId_77e9941ef18c45659b6c35cc80988a56,removeContentFolderId_77e9941ef18c45659b6c35cc80988a56,*separator*,copyContentId_77e9941ef18c45659b6c35cc80988a56,moveContentId_77e9941ef18c45659b6c35cc80988a56,*separator*,removeContentId_77e9941ef18c45659b6c35cc80988a56,*separator*,Metadata_General_77e9941ef18c45659b6c35cc80988a56,Metadata_Dublin_Core_77e9941ef18c45659b6c35cc80988a56,Metadata_IMS_77e9941ef18c45659b6c35cc80988a56,Metadata_Full_IMS_77e9941ef18c45659b6c35cc80988a56,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_77e9941ef18c45659b6c35cc80988a56\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_77e9941ef18c45659b6c35cc80988a56',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_77e9941ef18c45659b6c35cc80988a56',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_77e9941ef18c45659b6c35cc80988a56',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"92402396_2_fileReadWritePermAvl\" id=\"92402396_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" 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('77e9941ef18c45659b6c35cc80988a56');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402397_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402397_2/xid-92402397_2\" target=\"_blank\" rel=\"noreferrer noopener\">10F_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10F_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00l1&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402397_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_fa7b8efe39ea49d6b21ff172ed8a4671,open_with_browser_fa7b8efe39ea49d6b21ff172ed8a4671,open_with_bbdrive_fa7b8efe39ea49d6b21ff172ed8a4671,openWebId_fa7b8efe39ea49d6b21ff172ed8a4671,view360Id_fa7b8efe39ea49d6b21ff172ed8a4671,*separator*,*separator*,ax-ally-placeholder_fa7b8efe39ea49d6b21ff172ed8a4671,ax-ally-markForAxAnalysis_fa7b8efe39ea49d6b21ff172ed8a4671,*separator*,*separator*,content_settings_fa7b8efe39ea49d6b21ff172ed8a4671,content_editSettings_fa7b8efe39ea49d6b21ff172ed8a4671,content_edit_fa7b8efe39ea49d6b21ff172ed8a4671,properties_folder_fa7b8efe39ea49d6b21ff172ed8a4671,itemcarot_managerecord_fa7b8efe39ea49d6b21ff172ed8a4671,comments_tool_fa7b8efe39ea49d6b21ff172ed8a4671,subscriptions_list_fa7b8efe39ea49d6b21ff172ed8a4671,content_readfile_fa7b8efe39ea49d6b21ff172ed8a4671,content_overwrite_fa7b8efe39ea49d6b21ff172ed8a4671,passes_tool_fa7b8efe39ea49d6b21ff172ed8a4671,permissions_tool_fa7b8efe39ea49d6b21ff172ed8a4671,content_add_alignment_fa7b8efe39ea49d6b21ff172ed8a4671,content_tracking_fa7b8efe39ea49d6b21ff172ed8a4671,content_versions_fa7b8efe39ea49d6b21ff172ed8a4671,*separator*,*separator*,bookmarkId_fa7b8efe39ea49d6b21ff172ed8a4671,itemsId_fa7b8efe39ea49d6b21ff172ed8a4671,packagesId_fa7b8efe39ea49d6b21ff172ed8a4671,emailId_fa7b8efe39ea49d6b21ff172ed8a4671,removeContentFolderId_fa7b8efe39ea49d6b21ff172ed8a4671,*separator*,copyContentId_fa7b8efe39ea49d6b21ff172ed8a4671,moveContentId_fa7b8efe39ea49d6b21ff172ed8a4671,*separator*,removeContentId_fa7b8efe39ea49d6b21ff172ed8a4671,*separator*,Metadata_General_fa7b8efe39ea49d6b21ff172ed8a4671,Metadata_Dublin_Core_fa7b8efe39ea49d6b21ff172ed8a4671,Metadata_IMS_fa7b8efe39ea49d6b21ff172ed8a4671,Metadata_Full_IMS_fa7b8efe39ea49d6b21ff172ed8a4671,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_fa7b8efe39ea49d6b21ff172ed8a4671\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_fa7b8efe39ea49d6b21ff172ed8a4671',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_fa7b8efe39ea49d6b21ff172ed8a4671',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_fa7b8efe39ea49d6b21ff172ed8a4671',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"92402397_2_fileReadWritePermAvl\" id=\"92402397_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" 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('fa7b8efe39ea49d6b21ff172ed8a4671');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402398_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402398_2/xid-92402398_2\" target=\"_blank\" rel=\"noreferrer noopener\">10G_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10G_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00l3&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402398_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_8a1c8ca0b7024c5aa1863878249ebeb4,open_with_browser_8a1c8ca0b7024c5aa1863878249ebeb4,open_with_bbdrive_8a1c8ca0b7024c5aa1863878249ebeb4,openWebId_8a1c8ca0b7024c5aa1863878249ebeb4,view360Id_8a1c8ca0b7024c5aa1863878249ebeb4,*separator*,*separator*,ax-ally-placeholder_8a1c8ca0b7024c5aa1863878249ebeb4,ax-ally-markForAxAnalysis_8a1c8ca0b7024c5aa1863878249ebeb4,*separator*,*separator*,content_settings_8a1c8ca0b7024c5aa1863878249ebeb4,content_editSettings_8a1c8ca0b7024c5aa1863878249ebeb4,content_edit_8a1c8ca0b7024c5aa1863878249ebeb4,properties_folder_8a1c8ca0b7024c5aa1863878249ebeb4,itemcarot_managerecord_8a1c8ca0b7024c5aa1863878249ebeb4,comments_tool_8a1c8ca0b7024c5aa1863878249ebeb4,subscriptions_list_8a1c8ca0b7024c5aa1863878249ebeb4,content_readfile_8a1c8ca0b7024c5aa1863878249ebeb4,content_overwrite_8a1c8ca0b7024c5aa1863878249ebeb4,passes_tool_8a1c8ca0b7024c5aa1863878249ebeb4,permissions_tool_8a1c8ca0b7024c5aa1863878249ebeb4,content_add_alignment_8a1c8ca0b7024c5aa1863878249ebeb4,content_tracking_8a1c8ca0b7024c5aa1863878249ebeb4,content_versions_8a1c8ca0b7024c5aa1863878249ebeb4,*separator*,*separator*,bookmarkId_8a1c8ca0b7024c5aa1863878249ebeb4,itemsId_8a1c8ca0b7024c5aa1863878249ebeb4,packagesId_8a1c8ca0b7024c5aa1863878249ebeb4,emailId_8a1c8ca0b7024c5aa1863878249ebeb4,removeContentFolderId_8a1c8ca0b7024c5aa1863878249ebeb4,*separator*,copyContentId_8a1c8ca0b7024c5aa1863878249ebeb4,moveContentId_8a1c8ca0b7024c5aa1863878249ebeb4,*separator*,removeContentId_8a1c8ca0b7024c5aa1863878249ebeb4,*separator*,Metadata_General_8a1c8ca0b7024c5aa1863878249ebeb4,Metadata_Dublin_Core_8a1c8ca0b7024c5aa1863878249ebeb4,Metadata_IMS_8a1c8ca0b7024c5aa1863878249ebeb4,Metadata_Full_IMS_8a1c8ca0b7024c5aa1863878249ebeb4,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_8a1c8ca0b7024c5aa1863878249ebeb4\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_8a1c8ca0b7024c5aa1863878249ebeb4',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_8a1c8ca0b7024c5aa1863878249ebeb4',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_8a1c8ca0b7024c5aa1863878249ebeb4',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"92402398_2_fileReadWritePermAvl\" id=\"92402398_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" 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('8a1c8ca0b7024c5aa1863878249ebeb4');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402399_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402399_2/xid-92402399_2\" target=\"_blank\" rel=\"noreferrer noopener\">10H_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10H_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00l5&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402399_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('f6ce9dcdac8b4098bd3e85e59e8ea970');\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><p></p> \n</div>\n  </div>\n\n <div id=\"_8392380_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_207703_1&content_id=_8392380_1&mode=view",
        "title": "Video Lectures"
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src=\"https://www.kaltura.com/p/1458241/sp/145824100/embedIframeJs/uiconf_id/16721441/partner_id/1458241/widget_id/1_72n6w623?iframeembed=true&amp;playerId=kaltura_player_&amp;flashvars[playlistAPI.kpl0Id]=1_hjxyq0s1&amp;flashvars[ks]=&amp;&amp;flashvars[imageDefaultDuration]=30&amp;flashvars[localizationCode]=en&amp;flashvars[leadWithHTML5]=true&amp;flashvars[forceMobileHTML5]=true&amp;flashvars[nextPrevBtn.plugin]=true&amp;flashvars[sideBarContainer.plugin]=true&amp;flashvars[sideBarContainer.position]=left&amp;flashvars[sideBarContainer.clickToClose]=true&amp;flashvars[chapters.plugin]=true&amp;flashvars[chapters.layout]=vertical&amp;flashvars[chapters.thumbnailRotator]=false&amp;flashvars[streamSelector.plugin]=true&amp;flashvars[EmbedPlayer.SpinnerTarget]=videoHolder&amp;flashvars[dualScreen.plugin]=true&amp;flashvars[playlistAPI.playlistUrl]=https://kaf.ep.jhu.edu/playlist/details/{playlistAPI.kpl0Id}/categoryid/165308111\" allowfullscreen=\"\" webkitallowfullscreen=\"\" 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bb:contextparameters=\"\" 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data-ally-scoreindicator=\"_92402705_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402705_2/xid-92402705_2\" target=\"_blank\" rel=\"noreferrer noopener\">10B_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10B_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kt&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402705_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('3c58d05c2b3a47adbc509a5987486ba4');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402706_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402706_2/xid-92402706_2\" target=\"_blank\" rel=\"noreferrer noopener\">10C_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10C_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kv&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402706_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('9f2e4017480642bb887689b7a3979e71');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span 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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('cb39495cb1a043b5956e23274ad831fd');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span 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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('77e9941ef18c45659b6c35cc80988a56');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402397_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402397_2/xid-92402397_2\" target=\"_blank\" rel=\"noreferrer noopener\">10F_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10F_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00l1&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402397_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('fa7b8efe39ea49d6b21ff172ed8a4671');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402398_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402398_2/xid-92402398_2\" target=\"_blank\" rel=\"noreferrer noopener\">10G_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10G_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00l3&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402398_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('8a1c8ca0b7024c5aa1863878249ebeb4');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402399_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402399_2/xid-92402399_2\" target=\"_blank\" rel=\"noreferrer noopener\">10H_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10H_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00l5&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402399_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_ec77c5cb6ae049329e9cef26760f2644,open_with_browser_ec77c5cb6ae049329e9cef26760f2644,open_with_bbdrive_ec77c5cb6ae049329e9cef26760f2644,openWebId_ec77c5cb6ae049329e9cef26760f2644,view360Id_ec77c5cb6ae049329e9cef26760f2644,*separator*,*separator*,ax-ally-placeholder_ec77c5cb6ae049329e9cef26760f2644,ax-ally-markForAxAnalysis_ec77c5cb6ae049329e9cef26760f2644,*separator*,*separator*,content_settings_ec77c5cb6ae049329e9cef26760f2644,content_editSettings_ec77c5cb6ae049329e9cef26760f2644,content_edit_ec77c5cb6ae049329e9cef26760f2644,properties_folder_ec77c5cb6ae049329e9cef26760f2644,itemcarot_managerecord_ec77c5cb6ae049329e9cef26760f2644,comments_tool_ec77c5cb6ae049329e9cef26760f2644,subscriptions_list_ec77c5cb6ae049329e9cef26760f2644,content_readfile_ec77c5cb6ae049329e9cef26760f2644,content_overwrite_ec77c5cb6ae049329e9cef26760f2644,passes_tool_ec77c5cb6ae049329e9cef26760f2644,permissions_tool_ec77c5cb6ae049329e9cef26760f2644,content_add_alignment_ec77c5cb6ae049329e9cef26760f2644,content_tracking_ec77c5cb6ae049329e9cef26760f2644,content_versions_ec77c5cb6ae049329e9cef26760f2644,*separator*,*separator*,bookmarkId_ec77c5cb6ae049329e9cef26760f2644,itemsId_ec77c5cb6ae049329e9cef26760f2644,packagesId_ec77c5cb6ae049329e9cef26760f2644,emailId_ec77c5cb6ae049329e9cef26760f2644,removeContentFolderId_ec77c5cb6ae049329e9cef26760f2644,*separator*,copyContentId_ec77c5cb6ae049329e9cef26760f2644,moveContentId_ec77c5cb6ae049329e9cef26760f2644,*separator*,removeContentId_ec77c5cb6ae049329e9cef26760f2644,*separator*,Metadata_General_ec77c5cb6ae049329e9cef26760f2644,Metadata_Dublin_Core_ec77c5cb6ae049329e9cef26760f2644,Metadata_IMS_ec77c5cb6ae049329e9cef26760f2644,Metadata_Full_IMS_ec77c5cb6ae049329e9cef26760f2644,\" 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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('ec77c5cb6ae049329e9cef26760f2644');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_92402400_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402400_2/xid-92402400_2\" target=\"_blank\" rel=\"noreferrer noopener\">10I_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10I_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00l7&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402400_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('f6ce9dcdac8b4098bd3e85e59e8ea970');\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><p></p> \n</div>\n  </div>\n\n <div id=\"_8392380_1previewModule\" class=\"moduleSample\">\n </div>\n",
    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_207703_1&content_id=_8392380_1&mode=view",
    "parent": 62,
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        "title": "Video Lectures",
        "body": "\n    <div> \n  \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402704_2/xid-92402704_2\" target=\"_blank\" rel=\"noreferrer noopener\">10A_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10A_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kr&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402704_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_1816e87c030e4dd6806d8ea7c8652c10,open_with_browser_1816e87c030e4dd6806d8ea7c8652c10,open_with_bbdrive_1816e87c030e4dd6806d8ea7c8652c10,openWebId_1816e87c030e4dd6806d8ea7c8652c10,view360Id_1816e87c030e4dd6806d8ea7c8652c10,*separator*,*separator*,ax-ally-placeholder_1816e87c030e4dd6806d8ea7c8652c10,ax-ally-markForAxAnalysis_1816e87c030e4dd6806d8ea7c8652c10,*separator*,*separator*,content_settings_1816e87c030e4dd6806d8ea7c8652c10,content_editSettings_1816e87c030e4dd6806d8ea7c8652c10,content_edit_1816e87c030e4dd6806d8ea7c8652c10,properties_folder_1816e87c030e4dd6806d8ea7c8652c10,itemcarot_managerecord_1816e87c030e4dd6806d8ea7c8652c10,comments_tool_1816e87c030e4dd6806d8ea7c8652c10,subscriptions_list_1816e87c030e4dd6806d8ea7c8652c10,content_readfile_1816e87c030e4dd6806d8ea7c8652c10,content_overwrite_1816e87c030e4dd6806d8ea7c8652c10,passes_tool_1816e87c030e4dd6806d8ea7c8652c10,permissions_tool_1816e87c030e4dd6806d8ea7c8652c10,content_add_alignment_1816e87c030e4dd6806d8ea7c8652c10,content_tracking_1816e87c030e4dd6806d8ea7c8652c10,content_versions_1816e87c030e4dd6806d8ea7c8652c10,*separator*,*separator*,bookmarkId_1816e87c030e4dd6806d8ea7c8652c10,itemsId_1816e87c030e4dd6806d8ea7c8652c10,packagesId_1816e87c030e4dd6806d8ea7c8652c10,emailId_1816e87c030e4dd6806d8ea7c8652c10,removeContentFolderId_1816e87c030e4dd6806d8ea7c8652c10,*separator*,copyContentId_1816e87c030e4dd6806d8ea7c8652c10,moveContentId_1816e87c030e4dd6806d8ea7c8652c10,*separator*,removeContentId_1816e87c030e4dd6806d8ea7c8652c10,*separator*,Metadata_General_1816e87c030e4dd6806d8ea7c8652c10,Metadata_Dublin_Core_1816e87c030e4dd6806d8ea7c8652c10,Metadata_IMS_1816e87c030e4dd6806d8ea7c8652c10,Metadata_Full_IMS_1816e87c030e4dd6806d8ea7c8652c10,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_1816e87c030e4dd6806d8ea7c8652c10\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_1816e87c030e4dd6806d8ea7c8652c10',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_1816e87c030e4dd6806d8ea7c8652c10',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402705_2/xid-92402705_2\" target=\"_blank\" rel=\"noreferrer noopener\">10B_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10B_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kt&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402705_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_3c58d05c2b3a47adbc509a5987486ba4,open_with_browser_3c58d05c2b3a47adbc509a5987486ba4,open_with_bbdrive_3c58d05c2b3a47adbc509a5987486ba4,openWebId_3c58d05c2b3a47adbc509a5987486ba4,view360Id_3c58d05c2b3a47adbc509a5987486ba4,*separator*,*separator*,ax-ally-placeholder_3c58d05c2b3a47adbc509a5987486ba4,ax-ally-markForAxAnalysis_3c58d05c2b3a47adbc509a5987486ba4,*separator*,*separator*,content_settings_3c58d05c2b3a47adbc509a5987486ba4,content_editSettings_3c58d05c2b3a47adbc509a5987486ba4,content_edit_3c58d05c2b3a47adbc509a5987486ba4,properties_folder_3c58d05c2b3a47adbc509a5987486ba4,itemcarot_managerecord_3c58d05c2b3a47adbc509a5987486ba4,comments_tool_3c58d05c2b3a47adbc509a5987486ba4,subscriptions_list_3c58d05c2b3a47adbc509a5987486ba4,content_readfile_3c58d05c2b3a47adbc509a5987486ba4,content_overwrite_3c58d05c2b3a47adbc509a5987486ba4,passes_tool_3c58d05c2b3a47adbc509a5987486ba4,permissions_tool_3c58d05c2b3a47adbc509a5987486ba4,content_add_alignment_3c58d05c2b3a47adbc509a5987486ba4,content_tracking_3c58d05c2b3a47adbc509a5987486ba4,content_versions_3c58d05c2b3a47adbc509a5987486ba4,*separator*,*separator*,bookmarkId_3c58d05c2b3a47adbc509a5987486ba4,itemsId_3c58d05c2b3a47adbc509a5987486ba4,packagesId_3c58d05c2b3a47adbc509a5987486ba4,emailId_3c58d05c2b3a47adbc509a5987486ba4,removeContentFolderId_3c58d05c2b3a47adbc509a5987486ba4,*separator*,copyContentId_3c58d05c2b3a47adbc509a5987486ba4,moveContentId_3c58d05c2b3a47adbc509a5987486ba4,*separator*,removeContentId_3c58d05c2b3a47adbc509a5987486ba4,*separator*,Metadata_General_3c58d05c2b3a47adbc509a5987486ba4,Metadata_Dublin_Core_3c58d05c2b3a47adbc509a5987486ba4,Metadata_IMS_3c58d05c2b3a47adbc509a5987486ba4,Metadata_Full_IMS_3c58d05c2b3a47adbc509a5987486ba4,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_3c58d05c2b3a47adbc509a5987486ba4\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_3c58d05c2b3a47adbc509a5987486ba4',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_3c58d05c2b3a47adbc509a5987486ba4',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402706_2/xid-92402706_2\" target=\"_blank\" rel=\"noreferrer noopener\">10C_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10C_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kv&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402706_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_9f2e4017480642bb887689b7a3979e71,open_with_browser_9f2e4017480642bb887689b7a3979e71,open_with_bbdrive_9f2e4017480642bb887689b7a3979e71,openWebId_9f2e4017480642bb887689b7a3979e71,view360Id_9f2e4017480642bb887689b7a3979e71,*separator*,*separator*,ax-ally-placeholder_9f2e4017480642bb887689b7a3979e71,ax-ally-markForAxAnalysis_9f2e4017480642bb887689b7a3979e71,*separator*,*separator*,content_settings_9f2e4017480642bb887689b7a3979e71,content_editSettings_9f2e4017480642bb887689b7a3979e71,content_edit_9f2e4017480642bb887689b7a3979e71,properties_folder_9f2e4017480642bb887689b7a3979e71,itemcarot_managerecord_9f2e4017480642bb887689b7a3979e71,comments_tool_9f2e4017480642bb887689b7a3979e71,subscriptions_list_9f2e4017480642bb887689b7a3979e71,content_readfile_9f2e4017480642bb887689b7a3979e71,content_overwrite_9f2e4017480642bb887689b7a3979e71,passes_tool_9f2e4017480642bb887689b7a3979e71,permissions_tool_9f2e4017480642bb887689b7a3979e71,content_add_alignment_9f2e4017480642bb887689b7a3979e71,content_tracking_9f2e4017480642bb887689b7a3979e71,content_versions_9f2e4017480642bb887689b7a3979e71,*separator*,*separator*,bookmarkId_9f2e4017480642bb887689b7a3979e71,itemsId_9f2e4017480642bb887689b7a3979e71,packagesId_9f2e4017480642bb887689b7a3979e71,emailId_9f2e4017480642bb887689b7a3979e71,removeContentFolderId_9f2e4017480642bb887689b7a3979e71,*separator*,copyContentId_9f2e4017480642bb887689b7a3979e71,moveContentId_9f2e4017480642bb887689b7a3979e71,*separator*,removeContentId_9f2e4017480642bb887689b7a3979e71,*separator*,Metadata_General_9f2e4017480642bb887689b7a3979e71,Metadata_Dublin_Core_9f2e4017480642bb887689b7a3979e71,Metadata_IMS_9f2e4017480642bb887689b7a3979e71,Metadata_Full_IMS_9f2e4017480642bb887689b7a3979e71,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_9f2e4017480642bb887689b7a3979e71\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_9f2e4017480642bb887689b7a3979e71',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_9f2e4017480642bb887689b7a3979e71',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402395_2/xid-92402395_2\" target=\"_blank\" rel=\"noreferrer noopener\">10D_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10D_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kx&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402395_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_cb39495cb1a043b5956e23274ad831fd,open_with_browser_cb39495cb1a043b5956e23274ad831fd,open_with_bbdrive_cb39495cb1a043b5956e23274ad831fd,openWebId_cb39495cb1a043b5956e23274ad831fd,view360Id_cb39495cb1a043b5956e23274ad831fd,*separator*,*separator*,ax-ally-placeholder_cb39495cb1a043b5956e23274ad831fd,ax-ally-markForAxAnalysis_cb39495cb1a043b5956e23274ad831fd,*separator*,*separator*,content_settings_cb39495cb1a043b5956e23274ad831fd,content_editSettings_cb39495cb1a043b5956e23274ad831fd,content_edit_cb39495cb1a043b5956e23274ad831fd,properties_folder_cb39495cb1a043b5956e23274ad831fd,itemcarot_managerecord_cb39495cb1a043b5956e23274ad831fd,comments_tool_cb39495cb1a043b5956e23274ad831fd,subscriptions_list_cb39495cb1a043b5956e23274ad831fd,content_readfile_cb39495cb1a043b5956e23274ad831fd,content_overwrite_cb39495cb1a043b5956e23274ad831fd,passes_tool_cb39495cb1a043b5956e23274ad831fd,permissions_tool_cb39495cb1a043b5956e23274ad831fd,content_add_alignment_cb39495cb1a043b5956e23274ad831fd,content_tracking_cb39495cb1a043b5956e23274ad831fd,content_versions_cb39495cb1a043b5956e23274ad831fd,*separator*,*separator*,bookmarkId_cb39495cb1a043b5956e23274ad831fd,itemsId_cb39495cb1a043b5956e23274ad831fd,packagesId_cb39495cb1a043b5956e23274ad831fd,emailId_cb39495cb1a043b5956e23274ad831fd,removeContentFolderId_cb39495cb1a043b5956e23274ad831fd,*separator*,copyContentId_cb39495cb1a043b5956e23274ad831fd,moveContentId_cb39495cb1a043b5956e23274ad831fd,*separator*,removeContentId_cb39495cb1a043b5956e23274ad831fd,*separator*,Metadata_General_cb39495cb1a043b5956e23274ad831fd,Metadata_Dublin_Core_cb39495cb1a043b5956e23274ad831fd,Metadata_IMS_cb39495cb1a043b5956e23274ad831fd,Metadata_Full_IMS_cb39495cb1a043b5956e23274ad831fd,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_cb39495cb1a043b5956e23274ad831fd\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_cb39495cb1a043b5956e23274ad831fd',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_cb39495cb1a043b5956e23274ad831fd',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402396_2/xid-92402396_2\" target=\"_blank\" rel=\"noreferrer noopener\">10E_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10E_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00kz&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402396_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_77e9941ef18c45659b6c35cc80988a56,open_with_browser_77e9941ef18c45659b6c35cc80988a56,open_with_bbdrive_77e9941ef18c45659b6c35cc80988a56,openWebId_77e9941ef18c45659b6c35cc80988a56,view360Id_77e9941ef18c45659b6c35cc80988a56,*separator*,*separator*,ax-ally-placeholder_77e9941ef18c45659b6c35cc80988a56,ax-ally-markForAxAnalysis_77e9941ef18c45659b6c35cc80988a56,*separator*,*separator*,content_settings_77e9941ef18c45659b6c35cc80988a56,content_editSettings_77e9941ef18c45659b6c35cc80988a56,content_edit_77e9941ef18c45659b6c35cc80988a56,properties_folder_77e9941ef18c45659b6c35cc80988a56,itemcarot_managerecord_77e9941ef18c45659b6c35cc80988a56,comments_tool_77e9941ef18c45659b6c35cc80988a56,subscriptions_list_77e9941ef18c45659b6c35cc80988a56,content_readfile_77e9941ef18c45659b6c35cc80988a56,content_overwrite_77e9941ef18c45659b6c35cc80988a56,passes_tool_77e9941ef18c45659b6c35cc80988a56,permissions_tool_77e9941ef18c45659b6c35cc80988a56,content_add_alignment_77e9941ef18c45659b6c35cc80988a56,content_tracking_77e9941ef18c45659b6c35cc80988a56,content_versions_77e9941ef18c45659b6c35cc80988a56,*separator*,*separator*,bookmarkId_77e9941ef18c45659b6c35cc80988a56,itemsId_77e9941ef18c45659b6c35cc80988a56,packagesId_77e9941ef18c45659b6c35cc80988a56,emailId_77e9941ef18c45659b6c35cc80988a56,removeContentFolderId_77e9941ef18c45659b6c35cc80988a56,*separator*,copyContentId_77e9941ef18c45659b6c35cc80988a56,moveContentId_77e9941ef18c45659b6c35cc80988a56,*separator*,removeContentId_77e9941ef18c45659b6c35cc80988a56,*separator*,Metadata_General_77e9941ef18c45659b6c35cc80988a56,Metadata_Dublin_Core_77e9941ef18c45659b6c35cc80988a56,Metadata_IMS_77e9941ef18c45659b6c35cc80988a56,Metadata_Full_IMS_77e9941ef18c45659b6c35cc80988a56,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_77e9941ef18c45659b6c35cc80988a56\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_77e9941ef18c45659b6c35cc80988a56',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_77e9941ef18c45659b6c35cc80988a56',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8392380-dt-content-rid-92402397_2/xid-92402397_2\" target=\"_blank\" rel=\"noreferrer noopener\">10F_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module10/10F_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00l1&amp;course_id=_207703_1&amp;ctxMenuXythosId=92402397_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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Q&A

Cell description

Continue to ask questions and answer your classmates' questions in Piazza.

Participation in the class discussion is expected. It is unlikely you will go through the material without any questions. Please be sure to make at least one technically relevant posting, whether a question or comment.

To access Piazza, click Piazza Discussions on the course menu.

Technical
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Assignment 10

Cell description

Assignment 10

 has three problems. The first and third deal with applying conformal mapping concepts in specific contexts. However, the solution to all three problems in the end involve fairly straightforward application of the concepts in the module.

The assignment is due by the end of Module 10, following the Assignment Guidelines.

To submit the assignment, click the Assignment 10 title above.

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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('9a8efc60a8444c80956463dfbc6b2126');\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>&nbsp;has three problems. The first and third deal with applying conformal mapping concepts in specific contexts. However, the solution to all three problems in the end involve fairly straightforward application of the concepts in the module.<p></p> \n <p>The assignment is due&nbsp;<strong>by the&nbsp;end of Module 10</strong>, following the Assignment Guidelines.</p> \n <p>To submit the assignment, click the&nbsp;<strong>Assignment 10</strong>&nbsp;title above.</p> \n</div>\n  </div>\n\n <div id=\"_8394742_1previewModule\" class=\"moduleSample\">\n </div>\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('9a8efc60a8444c80956463dfbc6b2126');\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>&nbsp;has three problems. The first and third deal with applying conformal mapping concepts in specific contexts. However, the solution to all three problems in the end involve fairly straightforward application of the concepts in the module.<p></p> \n <p>The assignment is due&nbsp;<strong>by the&nbsp;end of Module 10</strong>, following the Assignment Guidelines.</p> \n <p>To submit the assignment, click the&nbsp;<strong>Assignment 10</strong>&nbsp;title above.</p> \n</div>\n  </div>\n\n <div id=\"_8394742_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Mini-Project 2

Cell description

Mini-Project 2

addresses application of complex analysis and specifically conformal mapping to modeling one-dimensional electromagnetic waves, leading to a visualization aid called a Smith Chart. As such, it is an important tool in fields such as RF (microwave) engineering.

The Mini-Project is due by the end of Module 11, following the Mini-Project Guidelines. You should make as much progress as you can, however, by Day 7 of Module 10, so that you can complete the assignment on time. You are welcome to submit partial work for feedback and review by the instructor before the final due date, and indeed you are encouraged to inform the instructor of your progress by Day 7 of Module 10. Your grade for the project will be based on your final submission only, so do not be concerned if some of your preliminary work is incomplete or has errors.

Technical
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