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<div class='headerShadow'>
<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;
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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>>

These [[InterfaceOptions]] for customising [[TiddlyWiki]] are saved in your browser

Your username for signing your edits. Write it as a [[WikiWord]] (eg [[JoeBloggs]])

<<option txtUserName>>
<<option chkSaveBackups>> [[SaveBackups]]
<<option chkAutoSave>> [[AutoSave]]
<<option chkRegExpSearch>> [[RegExpSearch]]
<<option chkCaseSensitiveSearch>> [[CaseSensitiveSearch]]
<<option chkAnimate>> [[EnableAnimations]]

----
Also see [[AdvancedOptions]]

<<importTiddlers>>

|''Type:''|file|
|''URL:''|http://tiddlyvault.tiddlyspot.com/|
|''Workspace:''|(default)|

This tiddler was automatically created to record the details of this server

|''Type:''|file|
|''URL:''|http://www.tiddlytools.com/|
|''Workspace:''|(default)|

This tiddler was automatically created to record the details of this server

[[Syllabus]]

The first midterm is on February 16, Thursday

The second midterm is on March 15, Thursday

[[Final exam schedule | http://essc.unt.edu/registrar/schedule/spring/final.html]]
May 10, 1:30-3:30pm in class

;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 \(x=2u\), \(y=v-u\).

Final exam will be based primarily on integration. Do as much practice as possible. 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.) Note that to be able to set up a multiple integral, you will have to sketch the region of integration.

$$\int_{0}^1 \int_{2y}^{2}4 \cos(x^2)dx dy$$
$$\int_{0}^2 \int_{y/2}^{1}e^{x^2}dxdy$$
$$\int_{0}^8 \int_{x^{1/3}}^{2}\frac{dy dx}{y^4+1}$$
$$\int_{-1}^1 \int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\frac{2dy dx}{(1+x^2+y^2)^2}$$
$$\int_{-1}^1\int_{-\sqrt{1-y^2}}^{\sqrt{1-y^2}}\ln(x^2+y^2+1)dx dy $$
$$\int_{0}^{\pi}\int_{0}^{\pi}\int_{0}^{\pi} \cos(x+y+z)dx dy dz$$
$$\int_{\ln 6}^{\ln 7}\int_{0}^{\ln 2}\int_{\ln 4}^{\ln 5}e^{(x+y+z)}dz dy dx $$
$$\int_{0}^{\pi}\int_{0}^y \int_{0}^{\sin x}dz dx dy$$
$$\int_{0}^{1}\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{-(x^2+y^2)}^{(x^2+y^2)}21 xy^2 dz dy dx$$
$$\int_{0}^9 \int_{0}^1 \int_{2y}^2 \frac{4\sin(x^2)}{\sqrt{z}}dx dy dz$$
$$\int_{-2}^2 \int_{-1}^1 \int_{0}^{\sqrt{1-z^2}}\frac{1}{(1+x^2+z^2)^2}dx dz dy$$
$$\int_{0}^{2\pi}\int_{0}^{\pi/2}\int_{0}^{2\cos\phi}\rho^2\sin\phi d\rho d\phi d\theta$$
$$\int_{0}^{\pi}\int_{0}^{\pi/4}\int_{2\sec\phi}^{4\sec\phi}\rho^2\sin\phi d\rho d\phi d\theta$$

Find the area of the region
:Inside both the cardiodid $r=1-\cos\theta\ \ $ and the circle $r=1$.
:In the first and fourth quadrants outside the circle $r=\sqrt{2}\ \ $ and inside the lemniscate $r^2=4\cos2\theta$.

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 \(\phi=\pi/3\). We rushed this in last minute of the review class and got it wrong! See [[solution| volume-spherical-example.pdf]] here.
:The region inside the sphere \(\rho=1\) and below the cone \(\phi=\pi/4\), for \(z\ge 0\).

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 12.1 and 12.2 
: Hand in exercises 
:Section 12.1: 18, 20, 32, 36, 38, 42, 44, 46, 52, 82, 84
:Section 12.2: 36, 48, 58, 64

;Homework 2 (Feb 2)
:Read 12.3 and 12.4
:Section 12.3: 26, 28, 38, 42, 50, 73 (a), 78
:Section 12.4: 20, 26, 32, 36, 41, 42, 48, 60

;Homework 3 (Feb 9)
:Read 12.5 and 12.6
Use parametric plot tool in [[Resources]] to plot all the curves given in exercises 21-32, section 12.5. Don't turn in those but you should gain a good feeling of the shape of the curve given the parametric equations. 
:Section 12.5: 10, 14, 20, 22, 34, 49, 58
:Section 12.2: 24, 27, 30, 34  

;Homework 4 (Feb 16)
Read 12.6, 12.7, and 12.8
:Section 12.6: 10, 20, 24, 46, 52, 62, 66, 
:Section 12.7: 30
:Section 12.8: 8, 10, 46

;Homework 5 (Feb 23)
Read 12.9
Section 12.9: 12, 17, 26, 44, 45, 67

;Homework 6 (Mar 1)
Read 13.1
:Section 13.1: 12, 16, 20, 26, 30, 79, 86, 87


;Homework 6 (Mar 8)
Read 13.2 and 13.3
For graphs feel free to use a computer software. See [[Resources]]. ~WolframAlpha is easiest to use but has limited capability, you may have to tweak your input to get a graph. For instance, for equations like \( z^2+4y^2-x^2=1\), write \( z=\pm\sqrt{1-4y^2+x^2}\), and input  \(\sqrt{1-4y^2+x^2}\) and \(-\sqrt{1-4y^2+x^2}\)  separately to get a graph.
:Section 13.1: 38, 44,46, 50, 54, 63, 64-73
:Section 13.2: 27, 34
:Section 13.3: 18, 20, 22, 26, 28, 32, 48, 50, 52, 54

;Homework 7 (Mar 15)
Read 13.4 and 13.5
:Section 13.4: 8, 10, 12, 20, 28, 34, 42, 59
:Section 13.5: 10, 14, 18, 20, 24, 28, 32, 57

;Homework 8 (Apr 5)
Read 13.6 and 13.7
:Section 13.6: 8, 10, 16, 22, 34, 50
:Section 13.7: 10, 12, 16, 18, 22, 26

;Homework 9 (Apr 12)
Read 13. 7 and 13.8
:Section 13.7: 28, 32, 34, 58
:Section 13.8: 10, 16, 20, 28 

;Homework 10 (Apr 26)
Read 14.1 and 14.2
:Section 14.1: 14, 16, 20, 22, 42
:Section 14.2: 20, 30, 32, 44, 46, 48, 50, 54, 56

;Homework 11 (May 1)
Read 14.3, 14.4 and 14.5
:Section 14.3: 22, 38, 46, 50
:Section 14.4: 16, 18, 20, 24, 36, 38, 46
;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 covers chapter 12 except the section 12.9. Here is a sample set of problems (the test will be have less problems):
''1.'' Find the equation of the tangent line to the cycloid 
$$\vec{r}(t)=\langle 2t-2\sin t,2-2\cos t\rangle,$$ at the point where \(t=\pi/3\).

''2.'' The position of a moving particle is given by \(\vec{r}(t)=\langle 2\cos t, 3\sin t, 4t\rangle\). 
:Find the particle's speed and the direction of the motion at time \(t=\pi/2\).
:Find the cosine of the angle between the velocity and acceleration vectors at \(t=\pi/2\). 

''3.'' Use the cross product to find the area of the triangle with vertices \(P=(1,1,5)\), \(Q=(3, 4, 3)\), and \(R=(1, 5, 7)\).

''4.'' Find the area of the parallelogram determined by the vectors \(\langle a, 0, 0\rangle\) and \(\langle 0, b, c\rangle\).

''5.'' Find two unit vectors orthogonal to both \(\vec{u}=\langle 3, 1, 1\rangle\), and  \(\vec{w}=\langle -1, 2, 1\rangle\).

''6.'' Find the projection of  \(\vec{u}=\langle -1, 2, 0\rangle\) onto \(\vec{v}=\langle 2, 0, 1\rangle\).

''7.'' Find the distance from the point \(P=(1, 1, 4)\) to the line given by the vector function \(\vec{r}(t)=\langle 1+t, 3-t, 2t\rangle\). What point on the line is closest to \(P\)?

''8.'' Find the equation of the sphere passing through points  \(P=(1, 1, 4)\) and  \(Q=(0, 2, 7)\) with its center at the midpoint of \(PQ\).

''9.'' Show that the curve \(\vec{r}(t)=\langle \frac{1}{2}\sin{2t}, \frac{1}{2}(1-\cos{2t}), \cos t\rangle\) lies on a sphere centered at origin. 

''10.'' A bullet is fired from the ground at an angle \(60^o\) above the horizontal. What initial speed \(v_0\) must the bullet have in order to hit a target 500 ft high on a tower located 800 ft away? (Ignore air resistance, recall \(g=32\ ft/s^2\)).

''11.'' Find the arc length of one arch of the cycloid \(\vec{r}(t)=\langle t-\sin t, 1-\cos t\rangle\).

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

;1.
:Suppose that $f(4, 4)=3$ and $f_x(4,4)=f_y(4,4)=-1$. Use the linear approximation to estimate $f(4.1, 4)$ and $f(3.88,4.03)$.

;2.
:Estimate $\sqrt{7.1^2 + 4.9^2+ 70.1}$ using the linear approximation. Compare your answer with calculator value.

;3.
:Find the derivative of $f(x, y, z)=\ln (2x+3y+6z)$ in the direction of $\overrightarrow{u}=\langle2, 3, 6\rangle$ at the point $(-1, -1, 1)$. Find the direction in which $f$ increases the fastest at this point.

;4.
:Find the equation of the tangent plane to the surface $z=\frac{1}{x^2+y^2}$ at the point $(1, 1, 1/2)$.

;5
:Find the equation of the tangent plane at $(0, 3, -1)$ to the surface with the equation $ze^x+e^{z+1}=xy+y-3$.

;6
:Show that the rectangular box with fixed volume $V$ with the smallest possible surface area is a cube.

;7
:Find and classify the critical points of $$f(x,y)=\frac{x-y}{1+x^2+y^2}.$$

;8
: Find the absolute maximum and minimum of $f(x,y)=-x^2-y^2+\sqrt{3}x-y-1\ \ $ over the disk $x^2+y^2\le 6$.

;9
:Suppose that the sum of three non-negative numbers $x, y, z$ is 1. Find the maximum and minimum values of 
:a. $(1+x^2)(1+y^2)(1+z^2)$
:b. $(1+\sqrt{x})(1+\sqrt{y})(1+\sqrt{z})$ .

;10
: Using Lagrange multipliers find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse $4x^2+16y^2=16$. 

;11
: Using Lagrange multipliers find the closest point to the origin on the line of intersection of two planes $x+2z=12$ and $x+y=6$.

<!--{{{-->
<!--
|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>
<!--}}}-->

[[Online Mathematica manual for Calculus| http://media.pearsoncmg.com/aw/aw_briggs_calculus_et_1/launch/bccalcet01_mathematica_launch.html]]

[[Online Maple manual for Calculus| http://media.pearsoncmg.com/aw/aw_briggs_calculus_et_1/launch/bccalcet01_maple_launch.html]]

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

[[Parametric plot| http://www.wolframalpha.com/widgets/view.jsp?id=ddaa2332531af389fba463a032fcec9d]]

/***
|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
<<<

Multivariable Calculus, Spring 2012 <<tiddler ToggleRightSidebar with: ".">>

Math 2730

;Office
:GAB 414, e-mail:first name @unt.edu
__Please include Math 2730 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 2:00PM - 3:20PM  Lang 104

;Course description
:Vectors and analytic geometry in 3-space; partial and directional derivatives; extrema; double and triple integrals and applications; cylindrical and spherical coordinates. Prerequisite(s): MATH 1720.
;Textbook
:Calculus by Briggs and Cochran 1/e
:Most of the course material based on Chapters 12, 13, and 14 of the textbook.
;Link to Course web
:http://www.math.unt.edu/~bunyamin/Math2730/empty.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;
}