Error occured ! We are notified and will try and resolve this as soon as possible. <br>WARNING! [2] file_put_contents(/home/gelembjuk/domains/myeducationpath.com/app/../html/cache/memory/course_6775_0_e086762d743c0218beb85ea6e1b456cae.txt): Failed to open stream: No such file or directory .  Line 75 in file /home/gelembjuk/domains/myeducationpath.com/html/include/class.cache.php. Continue execution. 670737; index.php; 3.15.140.0; GET; url=courses/6775/ma243-complex-analysis.htm&; ; Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com); ; Executon time: 0<link href="/js/bootstrap_plugins/bootstrap_datetimepicker/css/bootstrap-datetimepicker.min.css" rel="stylesheet" type="text/css" />

<script src="/js/moment/moment.min.js"></script>
<script src="/js/moment/moment-with-locales.min.js"></script>
<script src="/js/bootstrap_plugins/bootstrap_datetimepicker/js/bootstrap-datetimepicker.min.js"></script>



<div class="coursefullinfo">
<a name="top" class="menutargetlink"></a>
<script type="text/javascript" src="/js/jquery.raty.min.js"></script>




<div class="courseslistitem">

	<table width="100%" border="0">
	<tr>
	<td colspan="3">
		<div class="row">
			<div class="col-md-6 col-sm-12 col-xs-12"><h3><span >MA243: Complex Analysis</span></h3></div>
			<div class="col-md-3 col-sm-6 col-xs-12" >
				<div class="row">
				<div class="col-xs-6 text-right" style="margin-right:0px;text-align:right;">
								<div class="ratingstar" id="rating6775" data-rating="3.85714" ></div>
								</div>
				<div class="col-xs-6 text-left" >
				<span class="votes" id="votes6775" >7 votes</span>
				</div>
				</div>
			</div>
			<div class="col-md-3 col-sm-6 col-xs-12">
								<span class="label label-success">Free</span>				<span class="label label-warning">Closed <a href="/content/faq.htm#question_closedcourse" target="_blank" style="color:white">[?]</a></span>			</div>
		</div>
	</td>
	</tr>
	<tr >
		
	<td class="image" valign="top" rowspan="2" id="toolbar">
				<div class="courseimage">
		<img border="0" src="http://www.saylor.org/site/wp-content/uploads/2011/12/icon_mathematics1.jpg" alt="MA243: Complex Analysis" />
		</div>
				
		<div style="clear: both;"> </div>
		<div id="coursemenudiv-wrapper">
		<div id="coursemenudiv">
		<div  class="coursetoolsbar2">
									<div class="personal" style="margin-bottom:0px;"><span class="toolbarsect" style="width:170px;" id="addtomypathspan">
								<a href="javascript:void(0)" datacourseid="6775" class="addpath">
				Add to My Path</a>
								</span>
				<span class="toolbarhelpsect"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonpath">[?]</a></span></div>
				
			<div class="personal"><span class="toolbarsect" style="width:170px;" id="addtomypassportspan">
								<a href="javascript:void(0)" datacourseid="6775" class="addpassport">Add to My Passport</a>
								</span>
				<span class="toolbarhelpsect"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonpassport">[?]</a></span></div>
						<div class="personal"><span class="toolbarsect" style="width:170px;" id="connecttoexamspan">
								<a href="javascript:void(0)" datacourseid="6775" class="addexam">Connect My Exam</a>
								</span>
				<span class="toolbarhelpsect"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonexam">[?]</a></span></div>
						<div class="coursemenuitem" style="margin-top:8px;">
				<span ><a href="#comments" class="menuitemlink">Comments <span class="itemsnumber">(0)</span></a></span></div>
			<div class="coursemenuitem">
				<span ><a href="#reviews"  class="menuitemlink">Reviews <span class="itemsnumber">(0)</span> 
					, Forum</a></span></div>
			<div class="coursemenuitem">
				<span ><a href="#alternatives"  class="menuitemlink">Alternatives <span class="itemsnumber">(0)</span></a></span></div>
			<div class="coursemenuitem">
				<span ><a href="#prerequisites"  class="menuitemlink">Prerequisites <span class="itemsnumber">(0)</span></a></span></div>
			<div class="coursemenuitem menuwithcontent">
				<span ><a href="#paths"  class="menuitemlink">Paths <span class="itemsnumber">(2)</span></a></span></div>
						<div class="coursemenuitem">
				<span ><a href="#certification"  class="menuitemlink">Certification <span class="itemsnumber">(0)</span></a></span></div>
									<div class="coursemenuitem menuwithcontent">
				<span ><a href="#students"  class="menuitemlink">Students <span class="itemsnumber">(10)</span></a></span></div>
						<div class="coursemenuitem menuwithcontent">
				<span ><a href="#similar"  class="menuitemlink">Similar courses <span class="itemsnumber">(10)</span></a></span></div>
											</div>
		<div style="margin-top:8px;">
		 

<div style="width:210px;">
<script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>
<!-- MyEduPath course 2 -->
<ins class="adsbygoogle"
     style="display:block"
     data-ad-client="ca-pub-2164536875802568"
     data-ad-slot="5024807934"
     data-ad-format="auto"></ins>
<script>
(adsbygoogle = window.adsbygoogle || []).push({});
</script></div>


		</div>
		</div>
		</div>
	</td>
	
	<td class="coursebasicdescription" valign="top" align="left" style="padding-bottom:20px;">
		<p style="margin:0;">This course is an introduction to complex analysis, or the theory of the analytic functions of a complex variable.  Put differently, complex analysis is the theory of the differentiation and integration of functions that depend on one complex variable.  Such functions, beautiful on their own, are immediately useful in Physics, Engineering, and Signal Processing.  Because of the algebraic properties of the complex numbers and the inherently geometric flavor of complex analysis, this course will feel quite different from Real Analysis, although many of the same concepts, such as open sets, metrics, and limits will reappear.  Simply put, you will be working with lines and sets and very specific functions on the complex planedrawing pictures of them and teasing out all of their idiosyncrasies.  You will again find yourself calculating line integrals, just as in multivariable calculus.  However, the techniques you learn in this course will help you get past many of the seeming dead-ends you ran up against in&hellip;</p>
		<div class="linfo tagslist" style="margin-bottom:5px;"><span class="grayedtext">Tags:</span> 
			<span class="tag"><a href="/search/tag/Customer+Service+Certification+Program.htm">Customer Service Certification Program</a></span><span class="tag"><a href="/search/tag/Nutrition.htm">Nutrition</a></span><span class="tag"><a href="/search/tag/Taking+derivatives.htm">Taking derivatives</a></span></div>
		<div class="linfo"><span class="grayedtext">Details:</span> <span>
		<a class="newtablink" href="http://www.saylor.org/courses/ma243/" target="_blank" style="color:#3C7F8C">http://www.saylor.org/courses/ma243/</a></span>
					</div>
		<div class="linfo categorieslist" style="margin-bottom:5px;"><span class="grayedtext">Categories:</span> 
			<span class="category">
				<a href="/category/6/mathematics.htm" >
					Mathematics</a>
						
					</span></div>
				
			</td>
	<td valign="top" style="width:100px;text-align:center;">
		<div class="smallvendorlogo smalllogo">
			<a href="/providers/36/Saylor.org.htm" title="Saylor.org">
				<img src="/images/vendorlogo/36_small.jpg" alt="Saylor.org"></a>
		</div>
		<div style="margin-top:10px;"><a href="/providers/36/Saylor.org.htm" title="Saylor.org">Saylor.org</a></div>
	</td>
	</tr>
	<tr>
	<td colspan="2" valign="top" style="background:#f1f1f1;">
		<div class="fragment">
		<h1 class="yellow"><a name="comments" class="menutargetlink"></a>Comments </h1>
		
		<div id="disqus_thread"></div>
		
		<script>
		/**
		*/
		
		var disqus_config = function () {
			this.page.url = 'courses/6775/ma243-complex-analysis.htm'; // Replace PAGE_URL with your page's canonical URL variable
			this.page.identifier = 'c_6775'; // Replace PAGE_IDENTIFIER with your page's unique identifier variable
		
			this.callbacks.onNewComment = [function(comment) {
				saveComment(comment);
			      //alert(comment.id);
			      //alert(comment.text);
			}];
		};
		
		(function() { // DON'T EDIT BELOW THIS LINE
		var d = document, s = d.createElement('script');
		
		s.src = '//myeducationpatmyeducationpathh.disqus.com/embed.js';
		
		s.setAttribute('data-timestamp', +new Date());
		(d.head || d.body).appendChild(s);
		})();
		</script>
		<noscript>Please enable JavaScript to view the <a href="https://disqus.com/?ref_noscript" rel="nofollow">comments powered by Disqus.</a></noscript>
				
				
	</div>
		
	<div class="fragment" style="position: relative;">
			<h1 class="yellow"><a name="reviews" class="menutargetlink"></a>Reviews</h1>
			
			<br><br>
			
						-- no reviews yet -- <a href="/courses/6775/ma243-complex-analysis/addreview.htm" >make the first review</a>
						<div class="morelink2" >
			
			<a href="/courses/6775/ma243-complex-analysis/addreview.htm" class="button buttonwide whitebutton middlebutton">Add review</a>
			<span class="helpbuttonspan"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonreview">[?]</a></span>
						<a style="margin-left:200px;" href="/forum/forumdisplay.php?fid=212" class="button buttonwide whitebutton middlebutton">Discuss on the Forum</a>
						</div>
			
			
						
						
		</div>
			
		<div class="fragment shortinfocourselisting">
			<h1 class="yellow"><a name="alternatives" class="menutargetlink"></a>Alternatives
			
			<div class="morelinktoright">
				<a href="/alternatives/36/Saylor.org.htm" style="font-size:16px;">All alternatives to all Saylor.org courses</a>
			</div>
			</h1>
		
						<p><center>-- no alternatives found for the course --<br> If you know any alternatives, please <a href="javascript:void(0)"  class="addalternativecourselink">let us know</a>.</center></p>
				
			<div class="morelink2" >
			<a href="javascript:void(0)"  class="addalternativecourselink button buttonwide whitebutton middlebutton">Add alternative course</a>
			
			<span class="helpbuttonspan"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonalternative">[?]</a></span>
			</div>
		</div>
	    
		<div class="fragment shortinfocourselisting">
			<h1 class="yellow"><a name="prerequisites" class="menutargetlink"></a>Prerequisites</h1>
			
						<p><center>-- no prerequsites found for the course --<br> If you can suggest any prerequisite, please <a href="javascript:void(0)"  class="addprerequisitecourselink">let us know</a>.</center></p>
						
			<div class="morelink2" >
			<a href="javascript:void(0)"  class="addprerequisitecourselink button buttonwide whitebutton middlebutton">Add prerequisite</a>
			<span class="helpbuttonspan"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonprerequisite">[?]</a></span>
			</div>
		</div>
		
		<div class="fragment">
			<h1 class="yellow"><a name="paths" class="menutargetlink"></a>Paths</h1>
							<ul>
								<li><a href="/paths/4/applied-mathematics.htm">Applied Mathematics</a><br>
					<p class="hint">Applied Mathematics degree</p></li>
								<li><a href="/paths/13/mathematics.htm">Mathematics</a><br>
					<p class="hint">This is the path to get alternative degree in Mathematics with MOOCs
and other online courses</p></li>
								</ul>
				<br>
				<br>
				<a href="/paths/">See all Education Paths</a>
					</div>
				<div class="fragment">
			<h1 class="yellow"><a name="certification" class="menutargetlink"></a>Certification Exams</h1>
						-- there are no exams to get certification after this course --<br>
			If your company does certification for those who completed this course then register your company as certification vendor and add your exams to the Exams Directory. 
						<br><br>
			<div class="morelink2" >
			<a href="javascript:void(0)" datacourseid="6775" class="addexam button buttonwide whitebutton middlebutton">Add My Exams</a>
			</div>
		</div>
						<div class="fragment">
			<h1 class="yellow"><a name="students" class="menutargetlink"></a>Students </h1>
				
				<p>People who learned this course or plan to learn. These people added the course to their Education Passport or their Personal Education Path.</p>
				
								<span class="student">
				<img src="/images/photos/674_32.jpg">
				<a href="/student/674/alberto-mesa.htm">Alberto Mesa</a>
				</span>
								<span class="student">
				<img src="/images/photos/1439_32.jpg">
				<a href="/student/1439/andrey-kirillov.htm">Andrey Kirillov</a>
				</span>
								<span class="student">
				<img src="/images/photos/1465_32.jpg">
				<a href="/student/1465/derek-feng-feng-ce.htm">Derek FENG 冯策</a>
				</span>
								<span class="student">
				<img src="/home/gelembjuk/domains/myeducationpath.com/app/../html/images/photos/default.jpg