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_6789_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. 2658918; index.php; 18.217.98.175; GET; url=courses/6789/me205-numerical-methods-for-engineers.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 >ME205: Numerical Methods for Engineers</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="rating6789" data-rating="3" ></div>
								</div>
				<div class="col-xs-6 text-left" >
				<span class="votes" id="votes6789" >4 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_mechanical_engineering1.jpg" alt="ME205: Numerical Methods for Engineers" />
		</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="6789" 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="6789" 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="6789" 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">(1)</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">(8)</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;">Numerical methods have been used to solve mathematical expressions of engineering and scientific problems for at least 4000 years (for some historical discussion you may wish to browse the Ethnomathematics Digital Library [1] or the MacTutor History of Mathematics Archive [2] from St. Andrews University).*  Such methods apply numerical approximation in order to convert continuous mathematical problems (for example, determining the mechanical stress throughout a loaded truss) into systems of discrete equations that can be solved with sufficient accuracy by machine.   Numerical methods provide a way for the engineer to translate the language of mathematics and physics into information that may be used to make engineering decisions. Often, this translation is implemented so that calculations may be done by machines (computers). The types of problems that you encounter as an engineer may involve a wide variety of mathematical phenomena, and hence it will benefit you to have an equally wide range of numerical met&hellip;</p>
		<div class="linfo tagslist" style="margin-bottom:5px;"><span class="grayedtext">Tags:</span> 
			<span class="tag"><a href="/search/tag/International+development.htm">International development</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/me205/" target="_blank" style="color:#3C7F8C">http://www.saylor.org/courses/me205/</a></span>
					</div>
		<div class="linfo categorieslist" style="margin-bottom:5px;"><span class="grayedtext">Categories:</span> 
			<span class="category">
				<a href="/category/22/physical-sciences.htm" >
					Physical Sciences</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/6789/me205-numerical-methods-for-engineers.htm'; // Replace PAGE_URL with your page's canonical URL variable
			this.page.identifier = 'c_6789'; // 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/6789/me205-numerical-methods-for-engineers/addreview.htm" >make the first review</a>
						<div class="morelink2" >
			
			<a href="/courses/6789/me205-numerical-methods-for-engineers/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/17/physics.htm">Physics</a><br>
					<p class="hint">Physics education path.</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="6789" 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/1829_32.jpg">
				<a href="/student/1829/daniel-pastushchak.htm">Daniel Pastushchak</a>
				</span>
								<span class="student">
				<img src="/images/photos/427_32.jpg">
				<a href="/student/427/dennis-samuel.htm">dennis samuel</a>
				</span>
								<span class="student">
				<img src="/home/gelembjuk/domains/myeducationpath.com/app/../html/images/photos/default.jpg