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_5077_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. 2696299; index.php; 13.59.129.141; GET; url=courses/5077/mathematical-exposition.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 >Mathematical Exposition</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="rating5077" data-rating="4.0625" ></div>
								</div>
				<div class="col-xs-6 text-left" >
				<span class="votes" id="votes5077" >16 votes</span>
				</div>
				</div>
			</div>
			<div class="col-md-3 col-sm-6 col-xs-12">
								<span class="label label-success">Free</span>							</div>
		</div>
	</td>
	</tr>
	<tr >
		
	<td class="image" valign="top" rowspan="2" id="toolbar">
				<div class="courseimage">
		<img border="0" src="http://ocw.mit.edu/courses/mathematics/18-091-mathematical-exposition-spring-2005/18-091s05.jpg" alt="Mathematical Exposition" />
		</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="5077" 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="5077" 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="5077" 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">
				<span ><a href="#paths"  class="menuitemlink">Paths <span class="itemsnumber">(0)</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">(1)</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 provides techniques of effective presentation of mathematical material. Each section of this course is associated with a regular mathematics subject, and uses the material of that subject as a basis for written and oral presentations. The section presented here is on chaotic dynamical systems.</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/Infor.htm">Infor</a></span><span class="tag"><a href="/search/tag/Information+control.htm">Information control</a></span><span class="tag"><a href="/search/tag/Information+Theory.htm">Information Theory</a></span><span class="tag"><a href="/search/tag/Nutrition.htm">Nutrition</a></span></div>
		<div class="linfo"><span class="grayedtext">Details:</span> <span>
		<a class="newtablink" href="http://ocw.mit.edu/courses/mathematics/18-091-mathematical-exposition-spring-2005" target="_blank" style="color:#3C7F8C">http://ocw.mit.edu/courses/m...tical-exposition-spring-2005</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>
				
		<div class="linfo"><span class="grayedtext">Starts :</span> 
			<span class="grayedtext" style="text-decoration: line-through;">2005-02-01</span></div>	</td>
	<td valign="top" style="width:100px;text-align:center;">
		<div class="smallvendorlogo smalllogo">
			<a href="/providers/24/MIT OpenCourseWare (OCW).htm" title="MIT OpenCourseWare (OCW)">
				<img src="/images/vendorlogo/24_small.jpg" alt="MIT OpenCourseWare (OCW)"></a>
		</div>
		<div style="margin-top:10px;"><a href="/providers/24/MIT OpenCourseWare (OCW).htm" title="MIT OpenCourseWare (OCW)">MIT OpenCourseWare (OCW)</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/5077/mathematical-exposition.htm'; // Replace PAGE_URL with your page's canonical URL variable
			this.page.identifier = 'c_5077'; // 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/5077/mathematical-exposition/addreview.htm" >make the first review</a>
						<div class="morelink2" >
			
			<a href="/courses/5077/mathematical-exposition/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=209" 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/24/MIT OpenCourseWare (OCW).htm" style="font-size:16px;">All alternatives to all MIT OpenCourseWare (OCW) 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>
							No <a href="/paths/">Paths</a> inclusing the course. You can <a href="/page/pathbuilder.htm">build and share</a> a path with this course included.
					</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="5077" 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="/home/gelembjuk/domains/myeducationpath.com/app/../html/images/photos/default.jpg