Math 3410 - Differential Equations I, Spring 2012 .

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[[Syllabus]]

The first midterm is on February 14, Tuesday
[[Midterm 1 review]]

The second midterm is on March 15, Thursday

[[Final exam schedule | http://essc.unt.edu/registrar/schedule/spring/final.html]]

;Course evaluation: Please don't forget to go to SETE website (access via myunt) and do the course evaluation. 
Final exam will be based primarily on integration. Do as much practice as possible, including the last homework. Below are some practice problems but you should do more from the textbook (examples and exercises). 

Evaluate the following integrals (you may need to change the order of integration or convert to a different coordinate system, or simply compute directly.)
$$\int_{0}^1 \int_{2y}^{2}4 \cos(x^2)dx dy$$
$$\int_{0}^2 \int_{y/2}^{1}e^{x^2}dxdy$$
$$\int_{0}^8 \int_{x^{1/3}}^{2}\frac{dy dx}{y^4+1}$$
$$\int_{-1}^1 \int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\frac{2dy dx}{(1+x^2+y^2)^2}$$
$$\int_{-1}^1\int_{-\sqrt{1-y^2}}^{\sqrt{1-y^2}}\ln(x^2+y^2+1)dx dy $$
$$\int_{0}^{\pi}\int_{0}^{\pi}\int_{0}^{\pi} \cos(x+y+z)dx dy dz$$
$$\int_{\ln 6}^{\ln 7}\int_{0}^{\ln 2}\int_{\ln 4}^{\ln 5}e^{(x+y+z)}dz dy dx $$
$$\int_{0}^{\pi}\int_{0}^y \int_{0}^{\sin x}dz dx dy$$
$$\int_{0}^{1}\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{-(x^2+y^2)}^{(x^2+y^2)}21 xy^2 dz dy dx$$
$$\int_{0}^9 \int_{0}^1 \int_{2y}^2 \frac{4\sin(x^2)}{\sqrt{z}}dx dy dz$$
$$\int_{-2}^2 \int_{-1}^1 \int_{0}^{\sqrt{1-z^2}}\frac{1}{(1+x^2+z^2)^2}dx dz dy$$
$$\int_{0}^{2\pi}\int_{0}^{\pi/2}\int_{0}^{2\cos\phi}\rho^2\sin\phi d\rho d\phi d\theta$$
$$\int_{0}^{\pi}\int_{0}^{\pi/4}\int_{2\sec\phi}^{4\sec\phi}\rho^2\sin\phi d\rho d\phi d\theta$$

Find the volume of the solids:
: The region bounded by the plane \(z=25\) and the paraboloid \(z=x^2+y^2\).
:The region bounded by the cylinders \(r=1\) and \(r=2\) and the planes \(z=4-x-y\) and \(z=0\).
:The region outside the cone \(\phi=\pi/4\) and inside the sphere \(\rho=4\cos\phi\).
:The region bounded by the cylinders \(r=1\) and \(r=2\) and the cones \(\phi=\pi/6\) and \(\phi=\pi/3\).
:The region inside the sphere \(\rho=1\) and below the cone \(\phi=\pi/4\), for \(z\ge 0\).

Find the center of the solid bounded by the paraboloid \(z=4-x^2-y^2\) and \(z=0\) with the density \(\rho(x,y,z)=5-z\).

Evaluate the integral
$${\int\int}_R x^2\sqrt{x+2y}dA$$ where \(R=\{(x,y): 0\le x\le 2, -x/2\le y\le 1-x\}\) using the transformation \(x=2u\), \(y=v-u\).

[[Quick overview| DE-review.pdf]]

[[Laplace transform examples| Laplace-examples.pdf]]

;Sample problems

1. Find the Laplace transform of \(f(t)=\sin at\ \) from the definition of the Laplace transform.

2. Using Laplace transforms, solve the initial value problem 
$$y''+4y=\sin t +u_{\pi}(t)\sin (t-\pi),\ \ y'(0)=0,\ \ y(0)=0.$$

3. Find a series solution of \(y''-xy=0\) at \(x_0=1\). What is the radius of convergence of the solution?

4. Solve the initial value problem 
$$y''+4y=3\sin 2t,\ \ y(0)=2,\ \ y'(0)=-1.$$

5. Find the general solution (using variation of parameters) of
$$y''+y=\sec t, \ \ t>0.$$

6. Solve $$(e^{2y}-y\cos(xy))dx+(2xe^{2y}-x\cos(xy)+2y)dy=0.$$

To get started with this blank [[TiddlyWiki]], you'll need to modify the following tiddlers:
* [[SiteTitle]] & [[SiteSubtitle]]: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* [[MainMenu]]: The menu (usually on the left)
* [[DefaultTiddlers]]: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>

;Homework 1 (Due January 26)
Read Sections 1.1 and 1.2
Hand in exercises (Direction fields can be done by hand or by computer. Either is acceptable. Refer to [[Resources]] for computer help.)
:Section 1.1: 2, 4, 12, 15-20, 22, 23
:Section 1.2: 2, 5, 6, 8, 9

;Homework 2 (Due Feb 2)
Read 1.3, 1.4, and 2.1
:Section 1.3: 1-6, 8, 10, 22, 24
:Section 2.1: 2, 8, 16, 20, 24, 27

;Homework 3 (Due Feb 9)
Read 2.2, 2.4 (2.3 and 2.5 optional but good read)
:Section 2.2: 2, 6, 10, 14, 22, 24
:Section 2.4: 2, 4, 6, 8, 10, 14, 22, 24, 25, 26

;Homework 4 (Due Feb 16 but recommended to do before the test on Tuesday)
Read Section 2.6
:Section 2.6: 4, 6, 8, 10, 12, 14, 16, 25, 28, 30

;Homework 5 (Due Feb 23)
Read Sections 3.1, 3.2
:Section 3.1: 4, 8, 14, 18
:Section 3.2: 6, 8, 12

[[Summary of Theorems in 2.2|Lecture3.2.Theorems.pdf]]

;Homework 6 (Due March 1)
Read 3.3
:Section 3.3: 4, 8, 10, 18, 20

;Homework 6 (Due March 8)
Read 3.4 and 3.5
:Section 3.4: 8, 14,18, 22, 24, 27, 30, 33, 35

;Homework 7 (Due Mar 27)
In solving complicated linear equations arising from the method of undetermined coefficients, you can use Wolfram Alpha to solve them. Simply use command: "solve, equation 1, equation 2, equation 3", etc.
:Section 3.5: 4, 14, 18, 20, 22
:Section 3.6: 4, 8, 10, 14, 16, 18

;Homework 8 (Due Apr 5)
Read 5.1
:Section 5.1: 2, 6, 8, 14, 22, 24, 26, 28

;Homework 9 (Apr 12)
Read 5.2
:Section 5.2: 2, 6, 10, 12 

;Homework 10 (Apr 26)
Read 6.1 and 6.2
:Section 6.1: 5, 8, 18
:Section 6.2: 4, 8, 12, 14 

;Homework 11 (May 1)
Read 6.3 and 6.4
:Section 6.3: 20, 24, 25
:Section 6.4: 2, 8, 10

; Please don't forget to do course evaluation online at myUNT.

[[Syllabus]]
[[Homework]]
[[Exams]]
[[Resources]]
[[Midterm 1 review]]
[[Midterm 2 review]]
[[Midterm 3 review]]
[[Final review]]

/***
|''Name:''|MathJaxPlugin|
|''Description:''|Enable LaTeX formulas for TiddlyWiki|
|''Version:''|1.0.1|
|''Date:''|Feb 11, 2012|
|''Source:''|http://www.guyrutenberg.com/2011/06/25/latex-for-tiddlywiki-a-mathjax-plugin|
|''Author:''|Guy Rutenberg|
|''License:''|[[BSD open source license]]|
|''~CoreVersion:''|2.5.0|

!! Changelog
!!! 1.0.1 Feb 11, 2012
* Fixed interoperability with TiddlerBarPlugin
!! How to Use
Currently the plugin supports the following delemiters:
* """\(""".."""\)""" - Inline equations
* """$$""".."""$$""" - Displayed equations
* """\[""".."""\]""" - Displayed equations
!! Demo
This is an inline equation \(P(E)   = {n \choose k} p^k (1-p)^{ n-k}\) and this is a displayed equation:
\[J_\alpha(x) = \sum_{m=0}^\infty \frac{(-1)^m}{m! \, \Gamma(m + \alpha + 1)}{\left({\frac{x}{2}}\right)}^{2 m + \alpha}\]
This is another displayed equation $$e=mc^2$$
!! Code
***/
//{{{
config.extensions.MathJax = {
  mathJaxScript : "http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML",
  // uncomment the following line if you want to access MathJax using SSL
  // mathJaxScript : "https://d3eoax9i5htok0.cloudfront.net/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML",
  displayTiddler: function(TiddlerName) {
    config.extensions.MathJax.displayTiddler_old.apply(this, arguments);
    MathJax.Hub.Queue(["Typeset", MathJax.Hub]);
  }
};
 
 
jQuery.getScript(config.extensions.MathJax.mathJaxScript, function(){
   MathJax.Hub.Config({
      tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]},
      extensions: ["tex2jax.js"],
      "TML-CSS": { scale: 100 }
    });

 
    MathJax.Hub.Startup.onload();
    config.extensions.MathJax.displayTiddler_old = story.displayTiddler;
    story.displayTiddler = config.extensions.MathJax.displayTiddler;
});
 
config.formatters.push({
	name: "mathJaxFormula",
	match: "\\\\\\[|\\$\\$|\\\\\\(",
	//lookaheadRegExp: /(?:\\\[|\$\$)((?:.|\n)*?)(?:\\\]|$$)/mg,
	handler: function(w)
	{
		switch(w.matchText) {
		case "\\[": // displayed equations
			this.lookaheadRegExp = /\\\[((?:.|\n)*?)(\\\])/mg;
			break;
		case "$$": // inline equations
			this.lookaheadRegExp = /\$\$((?:.|\n)*?)(\$\$)/mg;
			break;
		case "\\(": // inline equations
			this.lookaheadRegExp = /\\\(((?:.|\n)*?)(\\\))/mg;
			break;
		default:
			break;
		}
		this.lookaheadRegExp.lastIndex = w.matchStart;
		var lookaheadMatch = this.lookaheadRegExp.exec(w.source);
		if(lookaheadMatch && lookaheadMatch.index == w.matchStart) {
			createTiddlyElement(w.output,"span",null,null,lookaheadMatch[0]);
			w.nextMatch = this.lookaheadRegExp.lastIndex;
		}
	}
});
//}}}

The first midterm will cover Chapter 1, Sections 2.1, 2.2, 2.3, 2.4, and 2.6.
Make sure to review all the textbook and lecture examples and homework problems. Here is a sample test.

;1. 
Solve the initial value problem and determine the interval in which the solution is valid
$$y'=\frac{2x}{y+x^2 y},  y(0)=-2.$$

;2. 
 A college graduate borrows $8000 to buy a car. The lender charges interest at annual rate of 10%. Assuming that interest rate is compounded continuously and that the borrower makes payments continuously at a constant annual rate \(k\), determine the payment \(k\) that is required to pay off the loan in 3 years. (If you don't have a calculator, leave the final answer in the form \(k=\ldots\).)

;3.
Find a solution of the equation 
$$(6xy-y^3)dx + (4y+3x^2-3xy^2)dy=0.$$

;4. 
Solve the initial value problem $$y'-\frac{1}{2}y=2 \cos t, y(0)=a.$$
Find the critical value \(a\), and describe the behavior of the solution corresponding to the initial value \(a\). 

;5.

Determine the interval in which the solution of the initial value problem 
$$y'+(\tan t)y=\sin t, y(\pi)=0.$$
is certain to exist. Do not solve the problem but quote the theorem you are using.

[[Midterm 2 review|mt2-review.pdf]]

;1.
: Find the power series expansion of $$f(x)=\frac{1}{(x-3)^2}$$ about $x_0=1$, and find the radius of convergence.

;2.
:Solve the differential equation \(y''-xy'-y=0\) using a series solution about \(x_0=0\).

;3.
:Explain why the differential equation \((x^2-x+1)y''+y=0\) has two solutions of the form \(y=\sum_{n=0}^{\infty}a_n (x+1)^n\) each with minimum radius of convergence \(\rho=\sqrt{3}\). (Do not solve for series solution.)

;4.
: For the differential equations  of the form
$$P(x)y''+Q(x)y'+R(x)y=0$$
explain what ordinary, regular singular, and irregular singular points are.

;5
:Find all the singular points of the differential equation \((1-x^2)^2 y''+x(1-x)y'+(1+x)y=0\), and determine if each is regular or irregular. 

;6. 
:Find the solution of the initial value problem 
$$2x^2y''+3xy'-y=0,\ \ y(1)=0, y'(1)=1,\ \ \ x>0.$$

<!--{{{-->
<!--
|Name|PageTemplateReadOnly|
|Source|http://www.TiddlyTools.com/#PageTemplateReadOnly|
|Version||
|Author|Eric Shulman|
|License|http://www.TiddlyTools.com/#LegalStatements|
|~CoreVersion|2.1|
|Type|template|
|Description|custom version of shadow template for controlling page layout|
-->
<div id='siteHeader' class='header'>
	<span id='siteTitle' class='siteTitle' refresh='content' tiddler='SiteTitle'></span>
	<span id='siteSubtitle' class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
</div>
<div id='siteMenu' class='siteMenu' refresh='content' tiddler='SiteMenu' style='clear:both'></div>
<div id='breadCrumbs' class='breadCrumbs'></div>
<div id='mainMenu'>
	<div>
		<div id='mainMenuStandard' refresh='content' tiddler='MainMenu'></div>
		<div class='center fine' style='padding-bottom:1em;' refresh='content' tiddler='ToggleReadOnly'></div>
	</div>
	<div id='mainMenuExtras' refresh='content' tiddler='MainMenuExtras'></div>
</div>
<div id='sidebar'>
	<div id='sidebarOptions' refresh='content' tiddler='SideBarOptions'></div>
	<div id='sidebarTabs' refresh='content' force='true' tiddler='SideBarTabs'></div>
</div>
<div id='displayArea'>
	<div id='messageArea'></div>
	<div id='storyMenu' class='storyMenu' refresh='content' force='false' tiddler='StoryMenu'></div>
	<div id='searchPanel' class='searchPanel smallform' style='display:none;margin:1em;clear:both' macro='moveablePanel name:searchresults undocked width:auto height:auto'></div>
	<div id='tiddlerDisplay' style="clear:both"></div>
</div>
<span style='display:none' macro='tiddler SiteStartup'></span>
<!--}}}-->

[[WolframAlpha| http://www.wolframalpha.com/]]

[[Mathematica | http://www.math.unt.edu/~bunyamin/mathematica/]] 

Sample Maple commands for graphing a direction field:
with(~DEtools):
~DEplot(diff(v(t),t)=9.8-v(t)/5,v(t),
	t=0..10,v=0..80,stepsize=.1,color=blue);

When graphing direction fields, be sure to use an appropriate window, in order to display all equilibrium solutions and relevant solution behavior.

/***
|Name|SinglePageModePlugin|
|Source|http://www.TiddlyTools.com/#SinglePageModePlugin|
|Documentation|http://www.TiddlyTools.com/#SinglePageModePluginInfo|
|Version|2.9.7|
|Author|Eric Shulman|
|License|http://www.TiddlyTools.com/#LegalStatements|
|~CoreVersion|2.1|
|Type|plugin|
|Description|Show tiddlers one at a time with automatic permalink, or always open tiddlers at top/bottom of page.|
This plugin allows you to configure TiddlyWiki to navigate more like a traditional multipage web site with only one tiddler displayed at a time.
!!!!!Documentation
>see [[SinglePageModePluginInfo]]
!!!!!Configuration
<<<
<<option chkSinglePageMode>> Display one tiddler at a time
><<option chkSinglePagePermalink>> Automatically permalink current tiddler
><<option chkSinglePageKeepFoldedTiddlers>> Don't close tiddlers that are folded
><<option chkSinglePageKeepEditedTiddlers>> Don't close tiddlers that are being edited
<<option chkTopOfPageMode>> Open tiddlers at the top of the page
<<option chkBottomOfPageMode>> Open tiddlers at the bottom of the page
<<option chkSinglePageAutoScroll>> Automatically scroll tiddler into view (if needed)

Notes:
* The "display one tiddler at a time" option can also be //temporarily// set/reset by including a 'paramifier' in the document URL: {{{#SPM:true}}} or {{{#SPM:false}}}.
* If more than one display mode is selected, 'one at a time' display takes precedence over both 'top' and 'bottom' settings, and if 'one at a time' setting is not used, 'top of page' takes precedence over 'bottom of page'.
* When using Apple's Safari browser, automatically setting the permalink causes an error and is disabled.
<<<
!!!!!Revisions
<<<
2010.11.30 2.9.7 use story.getTiddler()
2008.10.17 2.9.6 changed chkSinglePageAutoScroll default to false
| Please see [[SinglePageModePluginInfo]] for previous revision details |
2005.08.15 1.0.0 Initial Release.  Support for BACK/FORWARD buttons adapted from code developed by Clint Checketts.
<<<
!!!!!Code
***/
//{{{
version.extensions.SinglePageModePlugin= {major: 2, minor: 9, revision: 7, date: new Date(2010,11,30)};
//}}}
//{{{
config.paramifiers.SPM = { onstart: function(v) {
	config.options.chkSinglePageMode=eval(v);
	if (config.options.chkSinglePageMode && config.options.chkSinglePagePermalink && !config.browser.isSafari) {
		config.lastURL = window.location.hash;
		if (!config.SPMTimer) config.SPMTimer=window.setInterval(function() {checkLastURL();},1000);
	}
} };
//}}}
//{{{
if (config.options.chkSinglePageMode==undefined)
	config.options.chkSinglePageMode=false;
if (config.options.chkSinglePagePermalink==undefined)
	config.options.chkSinglePagePermalink=true;
if (config.options.chkSinglePageKeepFoldedTiddlers==undefined)
	config.options.chkSinglePageKeepFoldedTiddlers=false;
if (config.options.chkSinglePageKeepEditedTiddlers==undefined)
	config.options.chkSinglePageKeepEditedTiddlers=false;
if (config.options.chkTopOfPageMode==undefined)
	config.options.chkTopOfPageMode=false;
if (config.options.chkBottomOfPageMode==undefined)
	config.options.chkBottomOfPageMode=false;
if (config.options.chkSinglePageAutoScroll==undefined)
	config.options.chkSinglePageAutoScroll=false;
//}}}
//{{{
config.SPMTimer = 0;
config.lastURL = window.location.hash;
function checkLastURL()
{
	if (!config.options.chkSinglePageMode)
		{ window.clearInterval(config.SPMTimer); config.SPMTimer=0; return; }
	if (config.lastURL == window.location.hash) return; // no change in hash
	var tids=decodeURIComponent(window.location.hash.substr(1)).readBracketedList();
	if (tids.length==1) // permalink (single tiddler in URL)
		story.displayTiddler(null,tids[0]);
	else { // restore permaview or default view
		config.lastURL = window.location.hash;
		if (!tids.length) tids=store.getTiddlerText("DefaultTiddlers").readBracketedList();
		story.closeAllTiddlers();
		story.displayTiddlers(null,tids);
	}
}


if (Story.prototype.SPM_coreDisplayTiddler==undefined)
	Story.prototype.SPM_coreDisplayTiddler=Story.prototype.displayTiddler;
Story.prototype.displayTiddler = function(srcElement,tiddler,template,animate,slowly)
{
	var title=(tiddler instanceof Tiddler)?tiddler.title:tiddler;
	var tiddlerElem=story.getTiddler(title); // ==null unless tiddler is already displayed
	var opt=config.options;
	var single=opt.chkSinglePageMode && !startingUp;
	var top=opt.chkTopOfPageMode && !startingUp;
	var bottom=opt.chkBottomOfPageMode && !startingUp;
	if (single) {
		story.forEachTiddler(function(tid,elem) {
			// skip current tiddler and, optionally, tiddlers that are folded.
			if (	tid==title
				|| (opt.chkSinglePageKeepFoldedTiddlers && elem.getAttribute("folded")=="true"))
				return;
			// if a tiddler is being edited, ask before closing
			if (elem.getAttribute("dirty")=="true") {
				if (opt.chkSinglePageKeepEditedTiddlers) return;
				// if tiddler to be displayed is already shown, then leave active tiddler editor as is
				// (occurs when switching between view and edit modes)
				if (tiddlerElem) return;
				// otherwise, ask for permission
				var msg="'"+tid+"' is currently being edited.\n\n";
				msg+="Press OK to save and close this tiddler\nor press Cancel to leave it opened";
				if (!confirm(msg)) return; else story.saveTiddler(tid);
			}
			story.closeTiddler(tid);
		});
	}
	else if (top)
		arguments[0]=null;
	else if (bottom)
		arguments[0]="bottom";
	if (single && opt.chkSinglePagePermalink && !config.browser.isSafari) {
		window.location.hash = encodeURIComponent(String.encodeTiddlyLink(title));
		config.lastURL = window.location.hash;
		document.title = wikifyPlain("SiteTitle") + " - " + title;
		if (!config.SPMTimer) config.SPMTimer=window.setInterval(function() {checkLastURL();},1000);
	}
	if (tiddlerElem && tiddlerElem.getAttribute("dirty")=="true") { // editing... move tiddler without re-rendering
		var isTopTiddler=(tiddlerElem.previousSibling==null);
		if (!isTopTiddler && (single || top))
			tiddlerElem.parentNode.insertBefore(tiddlerElem,tiddlerElem.parentNode.firstChild);
		else if (bottom)
			tiddlerElem.parentNode.insertBefore(tiddlerElem,null);
		else this.SPM_coreDisplayTiddler.apply(this,arguments); // let CORE render tiddler
	} else
		this.SPM_coreDisplayTiddler.apply(this,arguments); // let CORE render tiddler
	var tiddlerElem=story.getTiddler(title);
	if (tiddlerElem&&opt.chkSinglePageAutoScroll) {
		// scroll to top of page or top of tiddler
		var isTopTiddler=(tiddlerElem.previousSibling==null);
		var yPos=isTopTiddler?0:ensureVisible(tiddlerElem);
		// if animating, defer scroll until after animation completes
		var delay=opt.chkAnimate?config.animDuration+10:0;
		setTimeout("window.scrollTo(0,"+yPos+")",delay); 
	}
}

if (Story.prototype.SPM_coreDisplayTiddlers==undefined)
	Story.prototype.SPM_coreDisplayTiddlers=Story.prototype.displayTiddlers;
Story.prototype.displayTiddlers = function() {
	// suspend single/top/bottom modes when showing multiple tiddlers
	var opt=config.options;
	var saveSPM=opt.chkSinglePageMode; opt.chkSinglePageMode=false;
	var saveTPM=opt.chkTopOfPageMode; opt.chkTopOfPageMode=false;
	var saveBPM=opt.chkBottomOfPageMode; opt.chkBottomOfPageMode=false;
	this.SPM_coreDisplayTiddlers.apply(this,arguments);
	opt.chkBottomOfPageMode=saveBPM;
	opt.chkTopOfPageMode=saveTPM;
	opt.chkSinglePageMode=saveSPM;
}
//}}}

/***
|Name|SinglePageModePluginInfo|
|Source|http://www.TiddlyTools.com/#SinglePageModePlugin|
|Documentation|http://www.TiddlyTools.com/#SinglePageModePluginInfo|
|Version|2.9.6|
|Author|Eric Shulman|
|License|http://www.TiddlyTools.com/#LegalStatements|
|~CoreVersion|2.1|
|Type|documentation|
|Description|Documentation for SinglePageModePlugin|
Normally, as you click on the links in TiddlyWiki, more and more tiddlers are displayed on the page. The order of this tiddler display depends upon when and where you have clicked. Some people like this non-linear method of reading the document, while others have reported that when many tiddlers have been opened, it can get somewhat confusing.  SinglePageModePlugin allows you to configure TiddlyWiki to navigate more like a traditional multipage web site with only one item displayed at a time.
!!!!!Usage
<<<
When the plugin is enabled, only one tiddler will be displayed at a time and the browser window's titlebar is updated to include the current tiddler title.  The browser's location URL is also updated with a 'permalink' for the current tiddler so that it is easier to create a browser 'bookmark' for the current tiddler.  Alternatively, even when displaying multiple tiddlers //is// permitted, you can still reduce the potential for confusion by forcing  tiddlers to always open at the top (or bottom) of the page instead of being displayed following the tiddler containing the link that was clicked.
<<<
!!!!!Configuration
<<<
<<option chkSinglePageMode>> Display one tiddler at a time
><<option chkSinglePagePermalink>> Automatically permalink current tiddler
><<option chkSinglePageKeepFoldedTiddlers>> Don't close tiddlers that are folded
><<option chkSinglePageKeepEditedTiddlers>> Don't close tiddlers that are being edited
<<option chkTopOfPageMode>> Open tiddlers at the top of the page
<<option chkBottomOfPageMode>> Open tiddlers at the bottom of the page
<<option chkSinglePageAutoScroll>> Automatically scroll tiddler into view (if needed)

Notes:
* {{block{
The "display one tiddler at a time" option can also be //temporarily// set/reset by including a 'paramifier' in the document URL: {{{#SPM:true}}} or {{{#SPM:false}}}. You can also use {{{SPM:expression}}}, where 'expression' is any javascript statement that evaluates to true or false.  This allows you to create hard-coded links in other documents that can selectively enable/disable the use of this option based on various programmatic conditions, such as the current username. For example, using
&nbsp;&nbsp;&nbsp;{{{#SPM:config.options.txtUserName!="SomeName"}}}
enables 'one tiddler at a time' display for all users //other than// "~SomeName")}}}
* If more than one display mode is selected, 'one at a time' display takes precedence over both 'top' and 'bottom' settings, and if 'one at a time' setting is not used, 'top of page' takes precedence over 'bottom of page'.
* When using Apple's Safari browser, automatically setting the permalink causes an error and is disabled.
<<<
!!!!!Revisions
<<<
2008.10.17 2.9.6 changed chkSinglePageAutoScroll default to false
2008.06.12 2.9.5 corrected 'scroll to top of page' logic in auto-scroll handling
2008.06.11 2.9.4 added chkSinglePageKeepEditedTiddlers option
2008.06.05 2.9.3 in displayTiddler(), bypass single/top/bottom mode handling if startingUp.  Allows multiple tiddlers to be displayed during startup processing (e.g., #story:DefaultTiddlers), even if single/top/bottom mode is enabled.
2008.04.18 2.9.2 in displayTiddler() and checkLastURL(), handling for Unicode in tiddler titles (remove explicit conversion between Unicode and UTF, as this is apparently done automatically by encode/decodeURIComponent, resulting in double-encoding!
2008.04.08 2.9.1 don't automatically add options to AdvancedOptions shadow tiddler
2008.04.02 2.9.0 in displayTiddler(), when single-page mode is in use and a tiddler is being edited, ask for permission to save-and-close that tiddler, instead of just leaving it open.
2008.03.29 2.8.3 in displayTiddler(), get title from tiddler object (if needed).  Fixes errors caused when calling function passes a tiddler *object* instead of a tiddler *title*
2008.03.14 2.8.2 in displayTiddler(), if editing specified tiddler, just move it to top/bottom of story *without* re-rendering (prevents discard of partial edits).
2008.03.06 2.8.1 in paramifier handler, start 'checkURL' timer if chkSinglePageMode is enabled
2008.03.06 2.8.0 added option, {{{config.options.chkSinglePageKeepFoldedTiddlers}}}, so folded tiddlers won't be closed when using single-page mode.  Also, in checkURL(), if hash is a ''permaview'' (e.g., "#foo bar baz"), then display multiple tiddlers rather than attempting to display "foo bar baz" as a single tiddler
2008.03.05 2.7.0 added support for "SPM:" URL paramifier
2008.03.01 2.6.0 in hijack of displayTiddler(), added 'title' argument to closeAllTiddlers() so that target tiddler isn't closed-and-reopened if it was already displayed.  Also, added config.options.chkSinglePageAutoScrolloption to bypass automatic 'scroll into view' logic (note: core still does it's own ensureVisible() handling)
2007.12.22 2.5.3 in checkLastURL(), use decodeURIComponent() instead of decodeURI so that tiddler titles with commas (and/or other punctuation) are correctly handled.
2007.10.26 2.5.2 documentation cleanup
2007.10.08 2.5.1 in displayTiddler(), when using single-page or top-of-page mode, scrollTo(0,0) to ensure that page header is in view.
2007.09.13 2.5.0 for TPM/BPM modes, don't force tiddler to redisplay if already shown.  Allows transition between view/edit or collapsed/view templates, without repositioning displayed tiddler.
2007.09.12 2.4.0 added option to disable automatic permalink feature.  Also, Safari is now excluded from permalinking action to avoid bug where tiddlers don't display after hash is updated.
2007.03.03 2.3.1 fix typo when adding BPM option to AdvancedOptions (prevented checkbox from appearing)
2007.03.03 2.3.0 added support for BottomOfPageMode (BPM) based on request from DaveGarbutt
2007.02.06 2.2.3 in Story.prototype.displayTiddler(), use convertUnicodeToUTF8() for correct I18N string handling when creating URL hash string from tiddler title (based on bug report from BidiX)
2007.01.08 2.2.2 use apply() to invoke hijacked core functions
2006.07.04 2.2.1 in hijack for displayTiddlers(), suspend TPM as well as SPM so that DefaultTiddlers displays in the correct order.
2006.06.01 2.2.0 added chkTopOfPageMode (TPM) handling
2006.02.04 2.1.1 moved global variable declarations to config.* to avoid FireFox 1.5.0.1 crash bug when assigning to globals
2005.12.27 2.1.0 hijack displayTiddlers() so that SPM can be suspended during startup while displaying the DefaultTiddlers (or #hash list).  Also, corrected initialization for undefined SPM flag to "false", so default behavior is to display multiple tiddlers
2005.12.27 2.0.0 Update for TW2.0
2005.11.24 1.1.2 When the back and forward buttons are used, the page now changes to match the URL.  Based on code added by Clint Checketts
2005.10.14 1.1.1 permalink creation now calls encodeTiddlyLink() to handle tiddler titles with spaces in them
2005.10.14 1.1.0 added automatic setting of window title and location bar ('auto-permalink').  feature suggestion by David Dickens.
2005.10.09 1.0.1 combined documentation and code in a single tiddler
2005.08.15 1.0.0 Initial Release
<<<

Differential Equations I, Spring 2012 <<tiddler ToggleRightSidebar with: ".">>

Math 3410

;Office
:GAB 414, e-mail:first name @unt.edu
__Please include Math 3410 in subject line of every email you send to me.__ Otherwise, I might never see it.
;Office hours
:WF 9:00-11:00am, or by appointment
;Lectures
:~TuTh 3:30PM - 4:50PM Chil 245

;Course description
:First-order equations, existence-uniqueness theorem, linear equations, separation of variables, higher-order linear equations, systems of linear equations, series solutions and numerical solutions.
;Textbook
:Elementary Differential Equations and Boundary Value Problems, Boyce and ~DiPrima, Ninth Edition
;Link to Course web
:http://www.math.unt.edu/~bunyamin/Math3410/DE.html See here for homework and other announcements.
;Grading scheme
:Homework 15%, 3 Midterms 60%, Final (comprehensive) 25%
Attendance is not enforced but will be noted. It is very important that you attend every class to succeed in this course. No make up tests will be given. The weight of the missed midterm (with a valid excuse) will be transferred to the final.
;Homework
:We will have weekly Homework assignments, and they will be announced in class and posted here. Late homework will not be accepted but two of the lowest homework grade will be dropped. Homework are to be handed in person to me at the beginning of the due date class. (This is one way for me to note attendance.)
;Math lab
:You may go to the UNT Math Lab (in GAB 440) to get extra help with the homework.
;Course Evaluation
:The website will be open later in the semester for you to evaluate the course (dates to be announced later). You are required to go to the web site and complete an evaluation of the course sometime during the open period. Although your instructor will receive a list of who completed the evaluation forms before grades are turned in, he will not receive any other information about the evaluations until after the grades are turned in. Your instructor will receive no information that would link you to your specific answers or comments. The university, the mathematics department, and your instructor take your course evaluation input very seriously.

Note regarding standards of academic conduct: Please be aware of university policies regarding academic honesty. Cheating is not tolerated and will have severe consequences. Consult the Catalog for details.

;Student Behavior in the Classroom
:__Student behavior that interferes with an instructor’s ability to conduct a class or other students' opportunity to learn is unacceptable and disruptive and will not be tolerated in any instructional forum at UNT.__ Students engaging in unacceptable behavior will be directed to leave the classroom and the instructor may refer the student to the Center for Student Rights and Responsibilities to consider whether the student's conduct violated the Code of Student Conduct. The university's expectations for student conduct apply to all instructional forums, including university and electronic classroom, labs, discussion groups, field trips, etc. The Code of Student Conduct can be found at www.unt.edu/csrr
;Disability
:Students requesting accommodations due to disability should contact the Office of Disability at 565 4323.

/%
!info
|Name|ToggleRightSidebar|
|Source|http://www.TiddlyTools.com/#ToggleRightSidebar|
|Version|2.0.0|
|Author|Eric Shulman|
|License|http://www.TiddlyTools.com/#LegalStatements|
|~CoreVersion|2.1|
|Type|transclusion|
|Description|show/hide right sidebar (SideBarOptions)|
Usage
<<<
{{{
<<tiddler ToggleRightSidebar>>
<<tiddler ToggleRightSidebar with: label tooltip>>
}}}
Try it: <<tiddler ToggleRightSidebar##show
	with: {{config.options.chkShowRightSidebar?'►':'◄'}}>>
<<<
Configuration:
<<<
copy/paste the following settings into a tiddler tagged with <<tag systemConfig>> and then modify the values to suit your preferences:
{{{
config.options.chkShowRightSidebar=true;
config.options.txtToggleRightSideBarLabelShow="◄";
config.options.txtToggleRightSideBarLabelHide="►";
}}}
<<<
!end
!show
<<tiddler {{
	var co=config.options;
	if (co.chkShowRightSidebar===undefined) co.chkShowRightSidebar=true;
	var sb=document.getElementById('sidebar');
	var da=document.getElementById('displayArea');
	if (sb) {
		sb.style.display=co.chkShowRightSidebar?'block':'none';
		da.style.marginRight=co.chkShowRightSidebar?'':'1em';
	}
'';}}>><html><nowiki><a href='javascript:;' title="$2"
onmouseover="
	this.href='javascript:void(eval(decodeURIComponent(%22(function(){try{('
	+encodeURIComponent(encodeURIComponent(this.onclick))
	+')()}catch(e){alert(e.description?e.description:e.toString())}})()%22)))';"
onclick="
	var co=config.options;
	var opt='chkShowRightSidebar';
	var show=co[opt]=!co[opt];
	var sb=document.getElementById('sidebar');
	var da=document.getElementById('displayArea');
	if (sb) {
		sb.style.display=show?'block':'none';
		da.style.marginRight=show?'':'1em';
	}
	saveOptionCookie(opt);
	var labelShow=co.txtToggleRightSideBarLabelShow||'&#x25C4;';
	var labelHide=co.txtToggleRightSideBarLabelHide||'&#x25BA;';
	if (this.innerHTML==labelShow||this.innerHTML==labelHide) 
		this.innerHTML=show?labelHide:labelShow;
	this.title=(show?'hide':'show')+' right sidebar';
	var sm=document.getElementById('storyMenu');
	if (sm) config.refreshers.content(sm);
	return false;
">$1</a></html>
!end
%/<<tiddler {{
	var src='ToggleRightSidebar';
	src+(tiddler&&tiddler.title==src?'##info':'##show');
}} with: {{
	var co=config.options;
	var labelShow=co.txtToggleRightSideBarLabelShow||'&#x25C4;';
	var labelHide=co.txtToggleRightSideBarLabelHide||'&#x25BA;';
	'$1'!='$'+'1'?'$1':(co.chkShowRightSidebar?labelHide:labelShow);
}} {{
	var tip=(config.options.chkShowRightSidebar?'hide':'show')+' right sidebar';
	'$2'!='$'+'2'?'$2':tip;
}}>>

if(config.options.txtUserName != "Sari,Bunyamin") {
config.options.chkSinglePageMode= true; 
config.options.chkShowRightSidebar=false;	
readOnly = true;
	showBackstage = false;
}