Module 4: Goursat and Cauchy Theorems

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:

  • State and understand Goursat's theorem.
  • State and understand Cauchy's theorem.
  • Make use of Cauchy's integral formulas.

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 4.
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Readings

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

Please read Chapter 2, Sections 4, 5.1-5.2 (pp. 45-55).

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Video Lectures

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Q&A

Cell description

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

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

Technical
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Assignment 4

Cell description

Complete the problems in the Assignment 4 document

and upload your final document as a PDF.

This assignment is due by the end of Module 4, following the Assignment Guidelines.

Technical
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        "body": "\n    <div> \n <p>Complete the problems in the \n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8273897-dt-content-rid-91349510_2/xid-91349510_2\" target=\"_blank\" rel=\"noreferrer noopener\">Assignment 4 document</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module04/Assignment4.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00if&amp;course_id=_207703_1&amp;ctxMenuXythosId=91349510_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_b90f7866cd1c4534abfbfc6bb7964c8f,open_with_browser_b90f7866cd1c4534abfbfc6bb7964c8f,open_with_bbdrive_b90f7866cd1c4534abfbfc6bb7964c8f,openWebId_b90f7866cd1c4534abfbfc6bb7964c8f,view360Id_b90f7866cd1c4534abfbfc6bb7964c8f,*separator*,*separator*,ax-ally-placeholder_b90f7866cd1c4534abfbfc6bb7964c8f,ax-ally-markForAxAnalysis_b90f7866cd1c4534abfbfc6bb7964c8f,*separator*,*separator*,content_settings_b90f7866cd1c4534abfbfc6bb7964c8f,content_editSettings_b90f7866cd1c4534abfbfc6bb7964c8f,content_edit_b90f7866cd1c4534abfbfc6bb7964c8f,properties_folder_b90f7866cd1c4534abfbfc6bb7964c8f,itemcarot_managerecord_b90f7866cd1c4534abfbfc6bb7964c8f,comments_tool_b90f7866cd1c4534abfbfc6bb7964c8f,subscriptions_list_b90f7866cd1c4534abfbfc6bb7964c8f,content_readfile_b90f7866cd1c4534abfbfc6bb7964c8f,content_overwrite_b90f7866cd1c4534abfbfc6bb7964c8f,passes_tool_b90f7866cd1c4534abfbfc6bb7964c8f,permissions_tool_b90f7866cd1c4534abfbfc6bb7964c8f,content_add_alignment_b90f7866cd1c4534abfbfc6bb7964c8f,content_tracking_b90f7866cd1c4534abfbfc6bb7964c8f,content_versions_b90f7866cd1c4534abfbfc6bb7964c8f,*separator*,*separator*,bookmarkId_b90f7866cd1c4534abfbfc6bb7964c8f,itemsId_b90f7866cd1c4534abfbfc6bb7964c8f,packagesId_b90f7866cd1c4534abfbfc6bb7964c8f,emailId_b90f7866cd1c4534abfbfc6bb7964c8f,removeContentFolderId_b90f7866cd1c4534abfbfc6bb7964c8f,*separator*,copyContentId_b90f7866cd1c4534abfbfc6bb7964c8f,moveContentId_b90f7866cd1c4534abfbfc6bb7964c8f,*separator*,removeContentId_b90f7866cd1c4534abfbfc6bb7964c8f,*separator*,Metadata_General_b90f7866cd1c4534abfbfc6bb7964c8f,Metadata_Dublin_Core_b90f7866cd1c4534abfbfc6bb7964c8f,Metadata_IMS_b90f7866cd1c4534abfbfc6bb7964c8f,Metadata_Full_IMS_b90f7866cd1c4534abfbfc6bb7964c8f,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_b90f7866cd1c4534abfbfc6bb7964c8f\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_b90f7866cd1c4534abfbfc6bb7964c8f',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_b90f7866cd1c4534abfbfc6bb7964c8f',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 4</strong>, following the Assignment Guidelines.</p> \n</div>\n  "
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