\documentclass[11pt]{article} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amsthm} \usepackage{mathrsfs} \usepackage{graphicx} \textwidth=6.5truein \textheight=9truein \oddsidemargin=-0.0truein \newcommand{\R}{{\mathbb R}} \newcommand{\Z}{{\mathbb Z}} \newcommand{\Q}{{\mathbb Q}} \newcommand{\C}{{\mathbb C}} \newcommand{\N}{{\mathbb N}} \newcommand{\mtx}[2]{\left(\begin{array}{#1} #2 \end{array}\right)} \DeclareMathOperator{\lcm}{lcm} \begin{document} \pagestyle{empty} \voffset -.8 true in %\hoffset -.1 true in \Large \noindent Two last things: (1) If the file says to install a graphics package like {\tt graphicx}, it is possible to make a picture with a graphics program, save it in {\tt .png} format (``portable network graphics'') and have it appear in your document. (The {\tt .jpg} format works, too, but the images seem ``smudged''.) With a Mac, your pictures should be in ``encapsulated PostScript'' {\tt .eps} format. \centerline{\includegraphics[scale=.7]{notes18a.png}} \centerline{\includegraphics[scale=1.2]{notes18a.png}} \centerline{\includegraphics[scale=1.2]{notes18a.jpg}} (2) After you have first typed the {\tt .tex} file and try to run it through \LaTeX, you certainly will have made errors, and the program will tell you where and what it {\it thinks} the first error is and say, with a question mark, ``Now what?'' Reply with an x (and a carriage return) to get back to the command prompt, and edit the {\tt .tex} file. \end{document} \centerline{\includegraphics[scale=]{.png}}