1. Introduction to LaTeX A Mathematical typesetting system

2. The “Required” Elements All LaTeX documents must include the following parts: \documentclass[12pt]{article}\begin{document}\end{document} The very last line! The BODY of the document goes here The “PREAMBLE” goes here The very first line!

3. “Environments” LaTeX code is set up with “environments.” Everything is enclosed in the “document” environment. \begin{document}\end{document} The document environment

4. “Environments” You enter and leave most environments with beginning and ending commands of the form \begin{environmentname} \end{environmentname} The code/text goes here

5. Some Formatting environments \begin{center}... \end{center} Numbered lists \begin{enumerate}\item\item\end{enumerate} The second item in the numbered list goes here The first item in the numbered list goes here

6. More on enumeration If you want “sub-headings,” nest the lists \begin{enumerate}\item\begin{enumerate}\item\item\end{enumerate}\item\end{enumerate} The second item in the sub-list goes here The first item in the sub-list goes here

7. More on lists If you want “bulleted” lists, you use the same format as for numbered lists with \begin{itemize}\item\begin{itemize}\item\item\end{itemize}\item\end{itemize}

8. More on lists If you want to designate the “headings” for the lists, you use the description environment \begin{description} \item[Case i.] \item[Case ii.] \end{description} The text for Case ii. goes here The text for Case i. goes here

9. Typesetting Mathematics There are two main math environments In-line math mode. This is for equations that occur in the same line as narrative. You enter and leave in-line math mode with dollar signs. Ex: $f(x)=x^{3-x}$ Displayed math. Several entry/exit choices –\begin{displaymath}... \end{displaymath} –$$... $$ –\[... \]

10. Some Miscellaneous Expressions “Normal” text How many subsets does have? LaTeX code How many subsets does $\emptyset$ have? Notice the use of the backslash ( \ ). This is your message to LaTeX that you are about to give it a command.

11. Some Miscellaneous Expressions “Normal” text How many subsets does have? LaTeX code How many subsets does $\emptyset$ have? $A= \{ 1,2,3,4 \} $ $A \subseteq B$ and $B \subseteq A$. $$ f(x)=\frac{x^3}{1+x^2}.$$