Module 1: Introduction to Complex Numbers and Sets in the Complex Plane

Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

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

  • State basic properties of complex numbers.
  • Explain open and closed sets in the the complex plane.
  • Define continuous and holomorphic functions.

How to Complete This Module:

  1. Complete the assigned reading.
  2. View the video lectures.
  3. Introduce yourself to the class in Piazza.
  4. Complete Assignment 1 - Part 1.
Technical
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Readings

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

Read the introduction (pp. xv-xvii) and pages 1-13 in Chapter 1.

Complex Analysis: Introduction and Chapter 1

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Video Lectures

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    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_207703_1&content_id=_8010574_1&mode=view",
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Introductions

Cell description

Introduce yourself to your classmates and instructors in Piazza. This is also where you can ask any questions about the course. Participation in Piazza is highly encouraged!

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

Technical
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Assignment 1 - Part 1

Cell description

Complete the problems in the Assignment 1 document

 and upload your final document as a PDF.

The first part of this assignment is due by the end of Module 1, following the Assignment Guidelines.

Technical
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        "body": "\n    <div> \n <p><strong>Complete</strong> the problems in the \n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8010576-dt-content-rid-90812160_2/xid-90812160_2\" target=\"_blank\" rel=\"noreferrer noopener\">Assignment 1 document</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module01/Assignment1.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00hr&amp;course_id=_207703_1&amp;ctxMenuXythosId=90812160_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_8f6cdc4fb43644f387cbcbdfb0af87e3,open_with_browser_8f6cdc4fb43644f387cbcbdfb0af87e3,open_with_bbdrive_8f6cdc4fb43644f387cbcbdfb0af87e3,openWebId_8f6cdc4fb43644f387cbcbdfb0af87e3,view360Id_8f6cdc4fb43644f387cbcbdfb0af87e3,*separator*,*separator*,ax-ally-placeholder_8f6cdc4fb43644f387cbcbdfb0af87e3,ax-ally-markForAxAnalysis_8f6cdc4fb43644f387cbcbdfb0af87e3,*separator*,*separator*,content_settings_8f6cdc4fb43644f387cbcbdfb0af87e3,content_editSettings_8f6cdc4fb43644f387cbcbdfb0af87e3,content_edit_8f6cdc4fb43644f387cbcbdfb0af87e3,properties_folder_8f6cdc4fb43644f387cbcbdfb0af87e3,itemcarot_managerecord_8f6cdc4fb43644f387cbcbdfb0af87e3,comments_tool_8f6cdc4fb43644f387cbcbdfb0af87e3,subscriptions_list_8f6cdc4fb43644f387cbcbdfb0af87e3,content_readfile_8f6cdc4fb43644f387cbcbdfb0af87e3,content_overwrite_8f6cdc4fb43644f387cbcbdfb0af87e3,passes_tool_8f6cdc4fb43644f387cbcbdfb0af87e3,permissions_tool_8f6cdc4fb43644f387cbcbdfb0af87e3,content_add_alignment_8f6cdc4fb43644f387cbcbdfb0af87e3,content_tracking_8f6cdc4fb43644f387cbcbdfb0af87e3,content_versions_8f6cdc4fb43644f387cbcbdfb0af87e3,*separator*,*separator*,bookmarkId_8f6cdc4fb43644f387cbcbdfb0af87e3,itemsId_8f6cdc4fb43644f387cbcbdfb0af87e3,packagesId_8f6cdc4fb43644f387cbcbdfb0af87e3,emailId_8f6cdc4fb43644f387cbcbdfb0af87e3,removeContentFolderId_8f6cdc4fb43644f387cbcbdfb0af87e3,*separator*,copyContentId_8f6cdc4fb43644f387cbcbdfb0af87e3,moveContentId_8f6cdc4fb43644f387cbcbdfb0af87e3,*separator*,removeContentId_8f6cdc4fb43644f387cbcbdfb0af87e3,*separator*,Metadata_General_8f6cdc4fb43644f387cbcbdfb0af87e3,Metadata_Dublin_Core_8f6cdc4fb43644f387cbcbdfb0af87e3,Metadata_IMS_8f6cdc4fb43644f387cbcbdfb0af87e3,Metadata_Full_IMS_8f6cdc4fb43644f387cbcbdfb0af87e3,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_8f6cdc4fb43644f387cbcbdfb0af87e3\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_8f6cdc4fb43644f387cbcbdfb0af87e3',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_8f6cdc4fb43644f387cbcbdfb0af87e3',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n&nbsp;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 1</b>, following the Assignment Guidelines.</p> \n</div>\n  "
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