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=Math 181 Honors Calculus=
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=Math [[MA181|181]] Honors Calculus, Fall 2008, Prof. Bell=
 
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[[MA181Fall2008bell:General_disclaimer_MA181Fall2008bell| Disclaimer]]
 
=== Did 'ya Know? ===
 
=== Did 'ya Know? ===
Howdy all.  I'm the guy who came to tell you all about this internet tool.  I just did some major changes to the looks of this site, so if something looks new and different, don't be afraid.  Some of the buttons that used to be found on the top of the page are now at the bottom.  'Edit' is one of these such buttons.  If something really doesn't work, just leave me a comment here and I'll check in throughout the next couple of weeks.
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This week I thought that I'd demonstrate how to add ellipses in a LaTeX equation.
 
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Nobody wants to see small curves like these...
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<math>
 
<math>
\int_a^b ( \frac{1}{a^2 - x^2} ) dx ~or~ | \frac{1}{1+\frac{1}{1+\frac{1}{x}}} |
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\begin{align}
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\sum_n &= 1 + 2 + 3 + ... + n + ... + \infty \\
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&= 0 + 1 + 2 + \cdots + n + \cdots + \infty
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\end{align}
 
</math>
 
</math>
  
But LaTeX can help! Use \left and \right around parentheses, brackes, pipes, etc...
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In the first example, three consecutive dots were typed, but the second example uses LaTeX's \cdots command. This stands for 'center dots'. There are also other 'dot' functions.
  
<math>
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{|
\int_a^b \left ( \frac{1}{a^2-x^2} \right ) dx  ~or~ \left | \frac{1}{1+\frac{1}{1+\frac{1}{x}}} \right |
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|-
</math>
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| style="padding-right: 2em;" | \ldots || style="padding-right: 2em;" | <math>\ldots</math> || styl="padding-right: 2em;" | \therefore || <math>\therefore</math>
 
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|-
By the way, did you know that you can align multi-line equations.  Mediawiki is full of formatting markups, and the more you get to know them, the more professional (and readable) you can make your pages look.  View the source for the below equation to find out how to make long equations look nicer.  You might also check out Mediawiki's super-easy [http://meta.wikimedia.org/wiki/MediaWiki_User%27s_Guide:_Using_tables tables].
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| \cdots || <math>\cdots</math> || \dagger|| <math>\dagger</math>
 
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|-
<div style="margin-left: 3em;">
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| \vdots || <math>\vdots</math> || \clubsuit || <math>\clubsuit</math>
<math>
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|-
\begin{align}
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| \ddots || <math>\ddots</math> || \doteq|| <math>\doteq</math>
\bar f(x) &= \oint_S g(x) dx \\
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&= \int_a^b \vec g(x) dx \\
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|}
&= \frac{\mu_0}{2 \pi a \cdot b}
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\end{align}
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</math>
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</div>
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<div style="float:right;clear:both;margin-right:5em;margin-bottom:2em;">~[[User:Dmsnell|His Not-quite-so-awesome-as-His-Awesomeness, Dennis Snell]]</div>
 
<div style="float:right;clear:both;margin-right:5em;margin-bottom:2em;">~[[User:Dmsnell|His Not-quite-so-awesome-as-His-Awesomeness, Dennis Snell]]</div>
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[[Fourier Series Homework_MA181Fall2008bell]]
 
[[Fourier Series Homework_MA181Fall2008bell]]
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[[Homework Whatever_MA181Fall2008bell]] (the last one)
  
 
== Cross-subject Issues ==
 
== Cross-subject Issues ==

Latest revision as of 06:35, 10 August 2010

Math 181 Honors Calculus, Fall 2008, Prof. Bell

Disclaimer

Did 'ya Know?

This week I thought that I'd demonstrate how to add ellipses in a LaTeX equation.

$ \begin{align} \sum_n &= 1 + 2 + 3 + ... + n + ... + \infty \\ &= 0 + 1 + 2 + \cdots + n + \cdots + \infty \end{align} $

In the first example, three consecutive dots were typed, but the second example uses LaTeX's \cdots command. This stands for 'center dots'. There are also other 'dot' functions.

\ldots $ \ldots $ \therefore $ \therefore $
\cdots $ \cdots $ \dagger $ \dagger $
\vdots $ \vdots $ \clubsuit $ \clubsuit $
\ddots $ \ddots $ \doteq $ \doteq $

Getting started editing

Note on Kiwi display with LaTeX_MA181Fall2008bell

Lecture Notes_MA181Fall2008bell

Extra Credit

Extra Credit - Riemann Sum

Challenge Problem about the sum for $ \pi/4 $

Homework Help

Homework 8_MA181Fall2008bell

Homework 9_MA181Fall2008bell

Homework 10_MA181Fall2008bell

Homework 11_MA181Fall2008bell

Homework 12_MA181Fall2008bell

Homework 13_MA181Fall2008bell

Homework 14_MA181Fall2008bell

Homework 15_MA181Fall2008bell

Homework 16_MA181Fall2008bell

Homework 17_MA181Fall2008bell

Homework 18_MA181Fall2008bell

Homework 19_MA181Fall2008bell

Homework 20_MA181Fall2008bell

Fourier Series Homework_MA181Fall2008bell

Homework Whatever_MA181Fall2008bell (the last one)

Cross-subject Issues

Help! The ECE students are struggling with complex numbers. Can you shed some light here?

Interesting Articles About Calculus and Math

MAPLE commands_MA181Fall2008bell

The minimum volume happens at the average_MA181Fall2008bell

Interesting Integration

Not Calculus: Area of a triangle defined by three tangential circles_MA181Fall2008bell

Cycloid Function_MA181Fall2008bell??

Single Elimination Forever_MA181Fall2008bell - Simple question to make you think a little.

A Tough Integral_MA181Fall2008bell

A Baffling Fact_MA181Fall2008bell

Learn LaTeX_MA181Fall2008bell

Common Latex Commands http://authors.aps.org/latex/

Solution to Exams_MA181Fall2008bell

Useful Formulas_MA181Fall2008bell

Study Guides

Exam II_MA181Fall2008bell

Alumni Liaison

Sees the importance of signal filtering in medical imaging

Dhruv Lamba, BSEE2010