Module 2: Continuous and Holomorphic Functions and Power Series

Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

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

Determine when a function is continous.
Determine where a function is holomorphic.
Determine power series radius of convergence.

How to Complete This Module:

Complete the assigned reading.
View the video lectures.
Participate in the class discussion in Piazza.
Complete Assignment 1 - Part 2.
Complete Assignment 2 - Part 1.

Technical

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Readings

Cell description

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

Please read all of Chapter 1 (pp. 1-24).

Complex Analysis: Introduction and Chapter 1

Technical

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Video Lectures

Cell description

02A_Slides

02B_Slides

02C_Slides

Technical

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841px;\"> \n  <div class=\"gtx-trans-icon\"></div> \n </div> \n</div>\n  </div>\n\n <div id=\"_8031076_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_207703_1&content_id=_8031076_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_104rflow?iframeembed=true&amp;playerId=kaltura_player_&amp;flashvars[playlistAPI.kpl0Id]=1_a5d9550i&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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841px;\"> \n  <div class=\"gtx-trans-icon\"></div> \n </div> \n</div>\n  </div>\n\n <div id=\"_8031076_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Continuous_Functions.mp4
./attachments/cell_235/Continuous_Functions.mp4

Holomorphic_Functions.mp4
./attachments/cell_235/Holomorphic_Functions.mp4

Power_Series.mp4
./attachments/cell_235/Power_Series.mp4

file_1.pdf
./attachments/cell_235/file_1.pdf

file_2.pdf
./attachments/cell_235/file_2.pdf

file_3.pdf
./attachments/cell_235/file_3.pdf

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 1 - Part 2

Cell description

Complete the problems in the Assignment 1 document

and upload your final document as a PDF.

The second half of this assignment is due by the end of Module 2, following the Assignment Guidelines.

Technical

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file_1.pdf
./attachments/cell_237/file_1.pdf

Assignment 2 - Part 1

Cell description

Complete the problems in the Assignment 2 document

and upload your final document as a PDF.

The first part of this assignment is due by the end of Module 2, following the Assignment Guidelines.

Technical

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bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_8e7bca9e921749e3beb4958cafad03fd\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_8e7bca9e921749e3beb4958cafad03fd',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_8e7bca9e921749e3beb4958cafad03fd',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_8e7bca9e921749e3beb4958cafad03fd',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"90960542_2_fileReadWritePermAvl\" id=\"90960542_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('8e7bca9e921749e3beb4958cafad03fd');\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>The first part of this&nbsp;assignment is due <b>by the end of Module 2</b>, following the Assignment Guidelines.</p> \n</div>\n  </div>\n\n <div id=\"_8031111_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "title": "Assignment 2 - Part 1",
        "body": "\n    <div> \n <p><strong>Complete</strong> the problems in the \n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8031111-dt-content-rid-90960542_2/xid-90960542_2\" target=\"_blank\" rel=\"noreferrer noopener\">Assignment 2 document</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module02/Assignment2.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00i3&amp;course_id=_207703_1&amp;ctxMenuXythosId=90960542_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_8e7bca9e921749e3beb4958cafad03fd,open_with_browser_8e7bca9e921749e3beb4958cafad03fd,open_with_bbdrive_8e7bca9e921749e3beb4958cafad03fd,openWebId_8e7bca9e921749e3beb4958cafad03fd,view360Id_8e7bca9e921749e3beb4958cafad03fd,*separator*,*separator*,ax-ally-placeholder_8e7bca9e921749e3beb4958cafad03fd,ax-ally-markForAxAnalysis_8e7bca9e921749e3beb4958cafad03fd,*separator*,*separator*,content_settings_8e7bca9e921749e3beb4958cafad03fd,content_editSettings_8e7bca9e921749e3beb4958cafad03fd,content_edit_8e7bca9e921749e3beb4958cafad03fd,properties_folder_8e7bca9e921749e3beb4958cafad03fd,itemcarot_managerecord_8e7bca9e921749e3beb4958cafad03fd,comments_tool_8e7bca9e921749e3beb4958cafad03fd,subscriptions_list_8e7bca9e921749e3beb4958cafad03fd,content_readfile_8e7bca9e921749e3beb4958cafad03fd,content_overwrite_8e7bca9e921749e3beb4958cafad03fd,passes_tool_8e7bca9e921749e3beb4958cafad03fd,permissions_tool_8e7bca9e921749e3beb4958cafad03fd,content_add_alignment_8e7bca9e921749e3beb4958cafad03fd,content_tracking_8e7bca9e921749e3beb4958cafad03fd,content_versions_8e7bca9e921749e3beb4958cafad03fd,*separator*,*separator*,bookmarkId_8e7bca9e921749e3beb4958cafad03fd,itemsId_8e7bca9e921749e3beb4958cafad03fd,packagesId_8e7bca9e921749e3beb4958cafad03fd,emailId_8e7bca9e921749e3beb4958cafad03fd,removeContentFolderId_8e7bca9e921749e3beb4958cafad03fd,*separator*,copyContentId_8e7bca9e921749e3beb4958cafad03fd,moveContentId_8e7bca9e921749e3beb4958cafad03fd,*separator*,removeContentId_8e7bca9e921749e3beb4958cafad03fd,*separator*,Metadata_General_8e7bca9e921749e3beb4958cafad03fd,Metadata_Dublin_Core_8e7bca9e921749e3beb4958cafad03fd,Metadata_IMS_8e7bca9e921749e3beb4958cafad03fd,Metadata_Full_IMS_8e7bca9e921749e3beb4958cafad03fd,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_8e7bca9e921749e3beb4958cafad03fd\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_8e7bca9e921749e3beb4958cafad03fd',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_8e7bca9e921749e3beb4958cafad03fd',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>The first part of this&nbsp;assignment is due <b>by the end of Module 2</b>, following the Assignment Guidelines.</p> \n</div>\n  "
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file_1.pdf
./attachments/cell_238/file_1.pdf