Math/CS 299/399 Colloquium in Mathematics & Computer Science I & II Spring 2019

# Introductory Essay

## Goals

The goals of this assignment are for you to reflect on your previous mathematical experiences. It also serves as a exercise in learning LaTeX (299) or recalling how to use LaTeX (399). Use a simple article style for your latex document. Come see me if you have questions on the use of LaTeX.

## Assignment

#### 299 and 399

(5 points) Express your name creatively using the special and mathematical symbols available to you in LaTeX. For example, here is one way to express my name:

Which is created in LaTeX using the following code:

$\mathcal{D}\alpha\vec{\rm v}$\i $\partial$
$\Lambda$.~$\mathbb{R}e^i$\raisebox{-.3ex}{\footnotesize\Scorpio}\textcircled{a}n$^2$


You can simplify some things in LaTeX by using macros. Here is an example that creates a macro called \myName that contains my name in special symbols and then uses it in a ecntered line.

\newcommand{\myName}{$\mathcal{D}\alpha\vec{\rm v}$\i $\partial$
$\Lambda$.~$\mathbb{R}e^i$\raisebox{-.3ex}{\footnotesize\Scorpio}\textcircled{a}n$^2$}

\begin{center}
\myName
\end{center}


Have fun and be creative!

#### Math/CS 299

(10 points) Write a brief essay (100-250 words) using LaTeX on one of your most memorable experiences learning mathematics. This could be from a college course, a high school or grade school course, or an extracurricular activity. Include some mathematical symbols or other LaTeX features in your essay.

#### Math/CS 399

(10 points) Using LaTeX's theorem environment, restate a favorite mathematical theorem and include a proof. It is OK to copy from a book as long as you cite the source using BibTeX. Write a paragraph why this theorem interests you.

Kevin Knudson and Evelyn Lamb have a podcast series where they have interviewed contemporary mathematicians about their favoritive theorems called My Favorite Theorem. They have completed roughly 25 interviews so far; all are available as audio and have been transcribed.

The amsthm package has nice theorem and proof environments you can use by including the lines

\usepackage{amsthm}
\newtheorem{theorem}{Theorem}


above

\begin{document}
in your source file. Use LaTeX's theorem environment to present your theorem:

\begin{theorem}[Pythagorean theorem]
Given a right triangle in the plane with side lengths $a$ and $b$ and hypotenuse $c$,
then $a^2 + b^2 = c^2$.
\end{theorem}
\begin{proof}
This is where the proof would go.
\end{proof}


## Deliverables

Bring a hardcopy of your paper to class during week 3. The final paper will contain your stylized name followed by the other component.

Use 1 inch margins. You can do this by placing the following code in the preamble (above \begin{document}).

\usepackage[letterpaper, portrait, margin=1in]{geometry}