Module 5: Cauchy's Integral Formulas

Module at a Glance ObjectivesHow to Complete This Module:

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Objectives

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

  • Utilize Cauchy's integral formulas.
  • Explain the fundamental theorem of algebra.
  • Compute integrals using residues.

How to Complete This Module:

  1. Complete the assigned reading.
  2. View the video lectures.
  3. Participate in the class discussion on Piazza.
  4. Complete Assignment 5.
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Readings

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Stein, E, & Shakarchi, R. (2003), Complex Analysis, Princeton University Press.

Please read Chapter 3, Sections 1-3, and 6 (pp. 71-89 and pp. 97-101).

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Video Lectures

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Q&A

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

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

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Assignment 5

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Complete the problems in the Assignment 5 document

and upload your final document as a PDF.

This assignment is due by the end of Module 5, following the Assignment Guidelines.

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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('1cd405809f8c4211ad4c9c10254e8ee2');\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> and upload your final document as a PDF.<p></p> \n <p>This&nbsp;assignment is due by the <strong>end of Module 5</strong>, following the Assignment Guidelines.</p> \n</div>\n  </div>\n\n <div id=\"_8299143_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "title": "Assignment 5",
        "body": "\n    <div> \n <p>Complete the problems in the \n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8299143-dt-content-rid-91569728_2/xid-91569728_2\" target=\"_blank\" rel=\"noreferrer noopener\">Assignment 5 document</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module05/Assignment5.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00ik&amp;course_id=_207703_1&amp;ctxMenuXythosId=91569728_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_1cd405809f8c4211ad4c9c10254e8ee2,open_with_browser_1cd405809f8c4211ad4c9c10254e8ee2,open_with_bbdrive_1cd405809f8c4211ad4c9c10254e8ee2,openWebId_1cd405809f8c4211ad4c9c10254e8ee2,view360Id_1cd405809f8c4211ad4c9c10254e8ee2,*separator*,*separator*,ax-ally-placeholder_1cd405809f8c4211ad4c9c10254e8ee2,ax-ally-markForAxAnalysis_1cd405809f8c4211ad4c9c10254e8ee2,*separator*,*separator*,content_settings_1cd405809f8c4211ad4c9c10254e8ee2,content_editSettings_1cd405809f8c4211ad4c9c10254e8ee2,content_edit_1cd405809f8c4211ad4c9c10254e8ee2,properties_folder_1cd405809f8c4211ad4c9c10254e8ee2,itemcarot_managerecord_1cd405809f8c4211ad4c9c10254e8ee2,comments_tool_1cd405809f8c4211ad4c9c10254e8ee2,subscriptions_list_1cd405809f8c4211ad4c9c10254e8ee2,content_readfile_1cd405809f8c4211ad4c9c10254e8ee2,content_overwrite_1cd405809f8c4211ad4c9c10254e8ee2,passes_tool_1cd405809f8c4211ad4c9c10254e8ee2,permissions_tool_1cd405809f8c4211ad4c9c10254e8ee2,content_add_alignment_1cd405809f8c4211ad4c9c10254e8ee2,content_tracking_1cd405809f8c4211ad4c9c10254e8ee2,content_versions_1cd405809f8c4211ad4c9c10254e8ee2,*separator*,*separator*,bookmarkId_1cd405809f8c4211ad4c9c10254e8ee2,itemsId_1cd405809f8c4211ad4c9c10254e8ee2,packagesId_1cd405809f8c4211ad4c9c10254e8ee2,emailId_1cd405809f8c4211ad4c9c10254e8ee2,removeContentFolderId_1cd405809f8c4211ad4c9c10254e8ee2,*separator*,copyContentId_1cd405809f8c4211ad4c9c10254e8ee2,moveContentId_1cd405809f8c4211ad4c9c10254e8ee2,*separator*,removeContentId_1cd405809f8c4211ad4c9c10254e8ee2,*separator*,Metadata_General_1cd405809f8c4211ad4c9c10254e8ee2,Metadata_Dublin_Core_1cd405809f8c4211ad4c9c10254e8ee2,Metadata_IMS_1cd405809f8c4211ad4c9c10254e8ee2,Metadata_Full_IMS_1cd405809f8c4211ad4c9c10254e8ee2,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_1cd405809f8c4211ad4c9c10254e8ee2\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_1cd405809f8c4211ad4c9c10254e8ee2',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_1cd405809f8c4211ad4c9c10254e8ee2',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n and upload your final document as a PDF. \n <p>This&nbsp;assignment is due by the <strong>end of Module 5</strong>, following the Assignment Guidelines.</p> \n</div>\n  "
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