%---------------------------------------------------------------------% % LaTeX Course Notes Template % % % % Copyright (C) 2012 Zev Chonoles % % zevchonoles@gmail.com % % http://math.uchicago.edu/~chonoles/ % % % % Please leave this information in the source code as % % attribution if you choose to edit or redistribute this file. % % % % This work is licensed under the Creative Commons Attribution- % % ShareAlike 3.0 Unported License. To view a copy of this license, % % visit http://creativecommons.org/licenses/by-sa/3.0/. % % % %---------------------------------------------------------------------% \documentclass[11pt]{article} %----------% % Basics % %----------% % Specfies basic information. % In the metadata section of the preamble, you can specify the subject and a list of keywords for the PDF. % \newcommand{\coursetitle}{Math 318 - Geometry/Topology 2} \newcommand{\lecturer}{Madhav Nori} \newcommand{\notetaker}{Zev Chonoles} \newcommand{\notetakersemail}{chonoles@math.uchicago.edu} \newcommand{\courseterm}{Winter 2013} \newcommand{\institution}{The University of Chicago} % array provides more column styles for the tabular and array environments. % (http://ctan.org/pkg/array) % % parskip sets block paragraphs as the default, instead of indentation. % (http://www.ctan.org/pkg/parskip) % \usepackage[margin=1in]{geometry} \usepackage{amsmath,amssymb,amsthm,amsfonts,array,parskip} % Allows equation, align, gather, etc. environments to split across pages. \allowdisplaybreaks % Sets date formatting to the ISO 8601 standard, YYYY-MM-DD. \usepackage{datetime} \renewcommand{\dateseparator}{-} \yyyymmdddate %---------% % Fonts % %---------% % Defines \cal for standard calligraphy, \eucal for Euler calligraphy, and \frak for Fraktur. \usepackage{eucal} \let\eucal\mathcal \let\cal\CMcal \renewcommand{\frak}{\mathfrak} % Removes ligatures (e.g. the connection ordinarily made between the two f's in "differentiable"). \usepackage{microtype} \DisableLigatures{encoding=*,family=*} % Removes extra space after periods. %-------------------------------% % Environments and Sectioning % %-------------------------------% % Defines some standard theorem environments, in both numbered and non-numbered versions. 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The first line allows for multi-column environments, the second line removes the heading "Contents". \usepackage{multicol} \setlength{\columnsep}{3cm} \makeatletter \renewcommand\tableofcontents{\@starttoc{toc}} \makeatother % Sets the page style. \usepackage{fancyhdr} \pagestyle{fancy} \renewcommand{\headrulewidth}{0pt} \renewcommand{\footrulewidth}{0.5pt} \setlength{\headheight}{14pt} \lfoot{\parbox[t]{1in}{\centering Last edited\\ \today}} \cfoot{\parbox[t]{3in}{\centering \coursetitle}} \rfoot{\parbox[t]{0.9in}{\centering Page \thepage\\ Lecture \arabic{lecture}}} % Sets the inputs for \maketitle. \author{Lectures by \lecturer\\ Notes by \notetaker} \title{\coursetitle} \date{\institution, \courseterm} % Defines headings for each day's notes. \newcommand{\classheader}[1]{\stepcounter{lecture}\newpage\section*{Lecture \arabic{lecture} (#1)} \phantomsection \addcontentsline{toc}{section}{Lecture \arabic{lecture} (#1)}} %---------------------------------------% % Miscellaneous Additions to Template % %---------------------------------------% % http://tex.stackexchange.com/questions/18359 \pgfplotsset{compat=newest} \newcommand{\Cinfty}{\ensuremath{C^{\infty}}} \newcommand{\Crit}{\mathrm{Crit}} \usepackage{mathtools} \newcommand{\Or}{\mathrm{Or}} \renewcommand{\Re}{\mathrm{Re}} \renewcommand{\Im}{\mathrm{Im}} \usepackage{mathrsfs} \newtheorem*{examples}{Examples} \newtheorem*{exercise}{Exercise} \usepackage{pdfpages} \newcommand{\Lie}{\mathrm{Lie}} \newcommand{\Diffeo}{\mathrm{Diffeo}} \newcommand{\connection}{\nabla} \newcommand{\new}{\mathrm{new}} \newcommand{\review}{{\huge\color{myred}{$\star$}}} %---------------------------% % Hyperlinks and Metadata % %---------------------------% % % (this section must come last!) % hyperref enables for the creation of hyperlinks, and also specifies the metadata of the PDF file. % hyperxmp allows more metadata to be specified. % (http://www.ctan.org/pkg/hyperref) % (http://www.ctan.org/pkg/hyperxmp) % (http://tex.stackexchange.com/questions/41461) % \usepackage{hyperref} \usepackage{hyperxmp} \hypersetup{ pdfauthor={\notetaker}, pdftitle={\coursetitle}, pdfproducer={LaTeX}, %pdfcopyright={Copyright (C) \the\year\ \notetaker. This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License. All attribution should be to \lecturer\ as the lecturer, and to \notetaker\ as the person taking these notes.}, pdfsubject={differential topology}, pdfkeywords={}, %pdflicenseurl={http://creativecommons.org/licenses/by-sa/3.0/}, colorlinks=true, linkcolor=myred, citecolor=mygreen, urlcolor=myblue, linktoc=page, pdfstartview=FitH } %------------% % Document % %------------% \begin{document} % The command % % \thispagepdflabel{text} % % sets the PDF page number (*not* the internal LaTeX page number) to be "text". This does not have to be a numeral; it could be a word, e.g. "Title". This lets one avoid the issue of having the PDF's page numbering not aligning with the page numbering LaTeX used in the document. % % (http://tex.stackexchange.com/questions/85558) % Title % \maketitle \thispdfpagelabel{Title} \thispagestyle{empty} \setcounter{page}{-1} \vspace{0.3in} % Table of Contents % \begin{center} \begin{minipage}[t]{0.9\textwidth} \begin{multicols}{2} \tableofcontents \end{multicols} \end{minipage} \end{center} \newpage \thispdfpagelabel{-} \thispagestyle{empty} % Introduction % \section*{Introduction} Math 318 is one of the nine courses offered for first-year mathematics graduate students at the University of Chicago. It is the second of three courses in the year-long geometry/topology sequence. These notes are being live-TeXed, though I edit for typos and add diagrams requiring the Ti\textit{k}Z package separately. I am using the editor TeXstudio. I am responsible for all faults in this document, mathematical or otherwise; any merits of the material here should be credited to the lecturer, not to me. Please email any corrections or suggestions to \expandafter\href{mailto:\notetakersemail}{\texttt{\notetakersemail}}. %\medskip % %\section*{Acknowledgments} % %Thank you to all of my fellow students who sent me suggestions and corrections, and who lent me their own notes from days I was absent. My notes are much improved due to your help. %% Copyright %% %\section*{Copyright} %Copyright \mycopyrightsymbol\ 2012 \notetaker. % %This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License. This means you are welcome to do essentially anything with this work, including editing, %adapting, distributing, and making commercial use of it, as long as you %\begin{itemize} %\item include an attribution of \lecturer\ as the lecturer of the course these notes are based on, and \notetaker\ as the person taking the notes, %\item do so in a way that does not suggest either of us endorses you or your use of this work, and %\item if you alter, transform, or build upon this work, you must apply to your work the same, or similar, license to this one. %\end{itemize} %More details are available at \href{https://creativecommons.org/licenses/by-sa/3.0/deed.en\_US}{\texttt{https://creativecommons.org/licenses/by-sa/3.0/deed.en\_US}}. \newpage % Make a separate file for each lecture, for example, using a naming scheme like this: % % lecture1.tex, lecture2.tex, ... % % and keep them in the same folder as this main file. By doing it this way (instead of keeping all the notes in the main file), if you're only working on the notes for one lecture, you can easily comment out the lines corresponding to the other lectures. % \include{math318lecture1} \include{math318lecture2} \include{math318lecture3} \include{math318lecture4} \include{math318lecture5} \include{math318lecture6} \include{math318lecture7} \include{math318lecture8} \include{math318lecture9} \include{math318lecture10} \include{math318lecture11} \include{math318lecture12} \include{math318lecture13} \include{math318lecture14} \include{math318lecture15} \include{math318lecture16} \include{math318lecture17} \include{math318lecture18} \include{math318lecture19} \include{math318lecture20} \include{math318lecture21} \include{math318lecture22} \include{math318lecture23} \include{math318lecture24} \include{math318lecture25} \include{math318lecture26} \include{math318lecture27} \include{math318lecture28} \include{math318lecture29} \end{document}