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| author | Sebastiano Tronto <sebastiano.tronto@gmail.com> | 2021-05-25 17:10:49 +0200 |
|---|---|---|
| committer | Sebastiano Tronto <sebastiano.tronto@gmail.com> | 2021-05-25 17:10:49 +0200 |
| commit | d6c61d988bfa4255baf9cdae42db59ebee38363f (patch) | |
| tree | 118ff3c2424e735149c145524965a4a337e50beb /src/Lecture1/slides | |
| parent | 46eef66b1e1571c77dc828d7e950b129b4c8bfd0 (diff) | |
| download | mathsoftware-d6c61d988bfa4255baf9cdae42db59ebee38363f.tar.gz mathsoftware-d6c61d988bfa4255baf9cdae42db59ebee38363f.zip | |
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Diffstat (limited to 'src/Lecture1/slides')
28 files changed, 3140 insertions, 0 deletions
diff --git a/src/Lecture1/slides/1-Introduction.aux b/src/Lecture1/slides/1-Introduction.aux new file mode 100644 index 0000000..58cf970 --- /dev/null +++ b/src/Lecture1/slides/1-Introduction.aux | |||
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| 1 | \relax | ||
| 2 | \providecommand\hyper@newdestlabel[2]{} | ||
| 3 | \providecommand{\transparent@use}[1]{} | ||
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| 11 | \AtEndDocument{\ifx\hyper@anchor\@undefined | ||
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| 15 | \fi} | ||
| 16 | \global\let\hyper@last\relax | ||
| 17 | \gdef\HyperFirstAtBeginDocument#1{#1} | ||
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diff --git a/src/Lecture1/slides/1-Introduction.log b/src/Lecture1/slides/1-Introduction.log new file mode 100644 index 0000000..269c73d --- /dev/null +++ b/src/Lecture1/slides/1-Introduction.log | |||
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| 1 | \headcommand {\slideentry {0}{0}{1}{1/1}{}{0}} | ||
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| 10 | \headcommand {\beamer@subsectionpages {3}{3}} | ||
| 11 | \headcommand {\beamer@subsectionentry {0}{1}{1}{4}{Latex}} | ||
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diff --git a/src/Lecture1/slides/1-Introduction.out b/src/Lecture1/slides/1-Introduction.out new file mode 100644 index 0000000..8886b09 --- /dev/null +++ b/src/Lecture1/slides/1-Introduction.out | |||
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| 1 | \BOOKMARK [2][]{Outline0.1}{What?}{}% 1 | ||
| 2 | \BOOKMARK [3][]{Outline0.1.1.4}{Latex}{Outline0.1}% 2 | ||
| 3 | \BOOKMARK [3][]{Outline0.1.2.6}{Sage}{Outline0.1}% 3 | ||
| 4 | \BOOKMARK [2][]{Outline0.2}{When?}{}% 4 | ||
| 5 | \BOOKMARK [2][]{Outline0.3}{How?}{}% 5 | ||
diff --git a/src/Lecture1/slides/1-Introduction.pdf b/src/Lecture1/slides/1-Introduction.pdf new file mode 100644 index 0000000..17eaaa8 --- /dev/null +++ b/src/Lecture1/slides/1-Introduction.pdf | |||
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diff --git a/src/Lecture1/slides/1-Introduction.tex b/src/Lecture1/slides/1-Introduction.tex new file mode 100644 index 0000000..2c8c355 --- /dev/null +++ b/src/Lecture1/slides/1-Introduction.tex | |||
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| 1 | \documentclass[11pt]{beamer} | ||
| 2 | \usetheme{Madrid} | ||
| 3 | \usepackage[utf8]{inputenc} | ||
| 4 | \usepackage{amsmath} | ||
| 5 | \usepackage{svg} | ||
| 6 | |||
| 7 | \usepackage{tikz-cd} | ||
| 8 | |||
| 9 | \author[\texttt{sebastiano.tronto@uni.lu}]{Sebastiano Tronto} | ||
| 10 | \title{Mathematical Software - Introduction} | ||
| 11 | \logo{\includegraphics[scale=0.1]{img/unilu.jpg}} | ||
| 12 | %\institute{University of Luxembourg} | ||
| 13 | |||
| 14 | \date{2021-02-19} | ||
| 15 | |||
| 16 | \begin{document} | ||
| 17 | |||
| 18 | \begin{frame} | ||
| 19 | \titlepage | ||
| 20 | \end{frame} | ||
| 21 | |||
| 22 | \begin{frame} | ||
| 23 | \tableofcontents | ||
| 24 | \end{frame} | ||
| 25 | |||
| 26 | \section{What?} | ||
| 27 | \begin{frame}{What} | ||
| 28 | \begin{columns} | ||
| 29 | \column{0.6\textwidth} | ||
| 30 | \begin{itemize} | ||
| 31 | \item {\bf Latex} for writing scientific text | ||
| 32 | \item {\bf Sage} for computations | ||
| 33 | \end{itemize} | ||
| 34 | |||
| 35 | \column{0.4\textwidth} | ||
| 36 | \includegraphics[scale=0.1]{img/latex.png} | ||
| 37 | \vspace{0.5cm} | ||
| 38 | |||
| 39 | \includesvg[scale=0.215]{img/sage} | ||
| 40 | \end{columns} | ||
| 41 | \end{frame} | ||
| 42 | |||
| 43 | \subsection{Latex} | ||
| 44 | \begin{frame}{Latex} | ||
| 45 | \includegraphics[scale=0.1]{img/latex.png} | ||
| 46 | \begin{itemize} | ||
| 47 | \item A typesetting system, has been around since the 1980s | ||
| 48 | \item Currently the best way to write scientific texts (Math, Physics...) | ||
| 49 | \item Can be used for lecture notes, homework, articles, books, graphics | ||
| 50 | (with TikZ), this presentation...%, shopping list... | ||
| 51 | \item ``What you get is what you \emph{mean}'', rather than what you | ||
| 52 | \emph{see} | ||
| 53 | \end{itemize} | ||
| 54 | \end{frame} | ||
| 55 | |||
| 56 | \begin{frame}[fragile]{Latex - Example} | ||
| 57 | An equation like this: | ||
| 58 | \begin{align*} | ||
| 59 | e^x =& \sum_{n=0}^{\infty} \frac{x^n}{n!} \\ | ||
| 60 | =& 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \cdots | ||
| 61 | \end{align*} | ||
| 62 | is written in LaTeX as: | ||
| 63 | \begin{verbatim} | ||
| 64 | \begin{align*} | ||
| 65 | e^x =& \sum_{n=0}^{\infty} \frac{x^n}{n!} \\ | ||
| 66 | =& 1 + x + \frac{x^2}{2} + | ||
| 67 | \frac{x^3}{6} + \cdots | ||
| 68 | \end{align*} | ||
| 69 | \end{verbatim} | ||
| 70 | \end{frame} | ||
| 71 | |||
| 72 | \subsection{Sage} | ||
| 73 | \begin{frame}{Sage} | ||
| 74 | \includesvg[scale=0.215]{img/sage} | ||
| 75 | \begin{itemize} | ||
| 76 | \item Free and open source Mathematical software | ||
| 77 | \item Basically python with a lot of Math libraries | ||
| 78 | \item Builds up on existing software such a Pari/GP, NumPy, R... | ||
| 79 | \item Popular for Computational Algebra (Number Theory, Cryptography...) | ||
| 80 | \end{itemize} | ||
| 81 | \end{frame} | ||
| 82 | |||
| 83 | \section{When?} | ||
| 84 | \begin{frame}{When} | ||
| 85 | \begin{tabular}{r|c|c} | ||
| 86 | %Date & Time & Topics \\ | ||
| 87 | %\hline | ||
| 88 | February 19 & \texttt{14:00 - 17:30} & Introduction, LaTeX fundamentals \\ | ||
| 89 | \hline | ||
| 90 | March 12 & \texttt{14:00 - 17:30} & More advanced LaTeX topics \\ | ||
| 91 | \hline | ||
| 92 | March 26 & \texttt{14:00 - 17:30} & LaTeX: presentations, graphics \\ | ||
| 93 | \hline | ||
| 94 | April 2 & \texttt{14:00 - 17:30} & ??? (LaTeX or Sage) \\ | ||
| 95 | \hline | ||
| 96 | April 23 & \texttt{14:00 - 17:30} & Sage (???) \\ | ||
| 97 | \hline | ||
| 98 | May 7 & \texttt{14:00 - {\bf 18:15}} & Sage (???) \\ | ||
| 99 | \hline | ||
| 100 | May 21 & \texttt{14:00 - {\bf 18:15}} & Sage (???) | ||
| 101 | \end{tabular} | ||
| 102 | \end{frame} | ||
| 103 | |||
| 104 | \section{How?} | ||
| 105 | \begin{frame}{How} | ||
| 106 | \begin{itemize} | ||
| 107 | \item \textbf{Remote teaching} at least until April 2 included (probably | ||
| 108 | always). | ||
| 109 | \item \textbf{Learn by doing} graded homework (4-5 assignments), non-graded | ||
| 110 | exercises, free practice. No final exam. | ||
| 111 | \end{itemize} | ||
| 112 | \end{frame} | ||
| 113 | |||
| 114 | \end{document} | ||
| 115 | |||
diff --git a/src/Lecture1/slides/1-Introduction.toc b/src/Lecture1/slides/1-Introduction.toc new file mode 100644 index 0000000..07181a7 --- /dev/null +++ b/src/Lecture1/slides/1-Introduction.toc | |||
| @@ -0,0 +1,5 @@ | |||
| 1 | \beamer@sectionintoc {1}{What?}{3}{0}{1} | ||
| 2 | \beamer@subsectionintoc {1}{1}{Latex}{4}{0}{1} | ||
| 3 | \beamer@subsectionintoc {1}{2}{Sage}{6}{0}{1} | ||
| 4 | \beamer@sectionintoc {2}{When?}{7}{0}{2} | ||
| 5 | \beamer@sectionintoc {3}{How?}{8}{0}{3} | ||
diff --git a/src/Lecture1/slides/1-Introduction.vrb b/src/Lecture1/slides/1-Introduction.vrb new file mode 100644 index 0000000..5a53bf5 --- /dev/null +++ b/src/Lecture1/slides/1-Introduction.vrb | |||
| @@ -0,0 +1,14 @@ | |||
| 1 | \frametitle{Latex - Example} | ||
| 2 | An equation like this: | ||
| 3 | \begin{align*} | ||
| 4 | e^x =& \sum_{n=0}^{\infty} \frac{x^n}{n!} \\ | ||
| 5 | =& 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \cdots | ||
| 6 | \end{align*} | ||
| 7 | is written in LaTeX as: | ||
| 8 | \begin{verbatim} | ||
| 9 | \begin{align*} | ||
| 10 | e^x =& \sum_{n=0}^{\infty} \frac{x^n}{n!} \\ | ||
| 11 | =& 1 + x + \frac{x^2}{2} + | ||
| 12 | \frac{x^3}{6} + \cdots | ||
| 13 | \end{align*} | ||
| 14 | \end{verbatim} | ||
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| 2 | \providecommand\hyper@newdestlabel[2]{} | ||
| 3 | \providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} | ||
| 4 | \HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined | ||
| 5 | \global\let\oldcontentsline\contentsline | ||
| 6 | \gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} | ||
| 7 | \global\let\oldnewlabel\newlabel | ||
| 8 | \gdef\newlabel#1#2{\newlabelxx{#1}#2} | ||
| 9 | \gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} | ||
| 10 | \AtEndDocument{\ifx\hyper@anchor\@undefined | ||
| 11 | \let\contentsline\oldcontentsline | ||
| 12 | \let\newlabel\oldnewlabel | ||
| 13 | \fi} | ||
| 14 | \fi} | ||
| 15 | \global\let\hyper@last\relax | ||
| 16 | \gdef\HyperFirstAtBeginDocument#1{#1} | ||
| 17 | \providecommand\HyField@AuxAddToFields[1]{} | ||
| 18 | \providecommand\HyField@AuxAddToCoFields[2]{} | ||
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| 13 | Package: etoolbox 2020/10/05 v2.5k e-TeX tools for LaTeX (JAW) | ||
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| 16 | \headcommand {\beamer@framepages {8}{8}} | ||
| 17 | \headcommand {\slideentry {0}{0}{9}{9/9}{}{0}} | ||
| 18 | \headcommand {\beamer@framepages {9}{9}} | ||
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| 21 | \headcommand {\slideentry {0}{0}{11}{11/11}{}{0}} | ||
| 22 | \headcommand {\beamer@framepages {11}{11}} | ||
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| 24 | \headcommand {\beamer@framepages {12}{12}} | ||
| 25 | \headcommand {\slideentry {0}{0}{13}{13/13}{}{0}} | ||
| 26 | \headcommand {\beamer@framepages {13}{13}} | ||
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| 32 | \headcommand {\beamer@framepages {16}{16}} | ||
| 33 | \headcommand {\slideentry {0}{0}{17}{17/17}{}{0}} | ||
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| 35 | \headcommand {\slideentry {0}{0}{18}{18/18}{}{0}} | ||
| 36 | \headcommand {\beamer@framepages {18}{18}} | ||
| 37 | \headcommand {\slideentry {0}{0}{19}{19/19}{}{0}} | ||
| 38 | \headcommand {\beamer@framepages {19}{19}} | ||
| 39 | \headcommand {\slideentry {0}{0}{20}{20/20}{}{0}} | ||
| 40 | \headcommand {\beamer@framepages {20}{20}} | ||
| 41 | \headcommand {\slideentry {0}{0}{21}{21/21}{}{0}} | ||
| 42 | \headcommand {\beamer@framepages {21}{21}} | ||
| 43 | \headcommand {\slideentry {0}{0}{22}{22/22}{}{0}} | ||
| 44 | \headcommand {\beamer@framepages {22}{22}} | ||
| 45 | \headcommand {\slideentry {0}{0}{23}{23/23}{}{0}} | ||
| 46 | \headcommand {\beamer@framepages {23}{23}} | ||
| 47 | \headcommand {\beamer@partpages {1}{23}} | ||
| 48 | \headcommand {\beamer@subsectionpages {1}{23}} | ||
| 49 | \headcommand {\beamer@sectionpages {1}{23}} | ||
| 50 | \headcommand {\beamer@documentpages {23}} | ||
| 51 | \headcommand {\gdef \inserttotalframenumber {23}} | ||
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diff --git a/src/Lecture1/slides/2-LatexFundamentals.tex b/src/Lecture1/slides/2-LatexFundamentals.tex new file mode 100644 index 0000000..fe2c031 --- /dev/null +++ b/src/Lecture1/slides/2-LatexFundamentals.tex | |||
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| 1 | \documentclass[11pt]{beamer} | ||
| 2 | \usetheme{Madrid} | ||
| 3 | \usepackage[utf8]{inputenc} | ||
| 4 | \usepackage{amsmath, amssymb, amsfonts, amsthm} | ||
| 5 | \usepackage{xcolor} | ||
| 6 | |||
| 7 | \usepackage{tikz-cd} | ||
| 8 | |||
| 9 | \author[\texttt{sebastiano.tronto@uni.lu}]{Sebastiano Tronto} | ||
| 10 | \title{Latex Fundamentals} | ||
| 11 | \logo{\includegraphics[scale=0.1]{img/unilu.jpg}} | ||
| 12 | %\institute{University of Luxembourg} | ||
| 13 | |||
| 14 | \newcommand{\bs}{\textbackslash} | ||
| 15 | |||
| 16 | \date{2021-02-19} | ||
| 17 | |||
| 18 | \begin{document} | ||
| 19 | |||
| 20 | \begin{frame} | ||
| 21 | \titlepage | ||
| 22 | \end{frame} | ||
| 23 | |||
| 24 | \begin{frame}{Latex} | ||
| 25 | \begin{enumerate} | ||
| 26 | \item Write code (like HTML, not like Python) | ||
| 27 | \item Compile to get a pdf file | ||
| 28 | \item ??? | ||
| 29 | \item Profit | ||
| 30 | \end{enumerate} | ||
| 31 | \end{frame} | ||
| 32 | |||
| 33 | |||
| 34 | \begin{frame}{Document structure} | ||
| 35 | \includegraphics[scale=0.5]{img/example2-preamble-edited.png} | ||
| 36 | \end{frame} | ||
| 37 | |||
| 38 | \begin{frame}{Preamble} | ||
| 39 | \begin{itemize} | ||
| 40 | \item Include packages with \texttt{\bs usepackage} | ||
| 41 | \item Define properties of the document (\texttt{\bs documentclass}, | ||
| 42 | \texttt{\bs author}, ...) | ||
| 43 | \item Define new commands and environments | ||
| 44 | \end{itemize} | ||
| 45 | \end{frame} | ||
| 46 | |||
| 47 | \begin{frame}{Text formatting} | ||
| 48 | \begin{center} | ||
| 49 | |||
| 50 | \begin{tabular}{ccc} | ||
| 51 | \texttt{\small \bs textbf\{Hello\}} & | ||
| 52 | \texttt{\small \bs textit\{Hello\}} or \texttt{\small\bs emph\{Hello\}} & | ||
| 53 | \texttt{\small \bs underline\{Hello\}} \\ | ||
| 54 | \textbf{Hello} & \textit{Hello} & \underline{Hello} | ||
| 55 | \end{tabular} | ||
| 56 | |||
| 57 | \vspace{0.7cm} | ||
| 58 | \begin{tabular}{ccc} | ||
| 59 | \texttt{\small \{\bs small Hello\}} & \hspace{1cm} | ||
| 60 | \texttt{\small \{\bs Large Hello\}} \hspace{1cm} & | ||
| 61 | \texttt{\small \{\bs huge Hello\}} \\ | ||
| 62 | {\small Hello} & {\Large Hello} & {\huge Hello} | ||
| 63 | \end{tabular} | ||
| 64 | |||
| 65 | \end{center} | ||
| 66 | \end{frame} | ||
| 67 | |||
| 68 | \begin{frame}{Text formatting} | ||
| 69 | Some technicalities: | ||
| 70 | \begin{itemize} | ||
| 71 | \item Blocks are delimited by \{ and \} | ||
| 72 | \item \texttt{\bs textbf\{...\}} etc. are commands with one argument | ||
| 73 | \item \texttt{\bs emph\{...\}} is context-aware (when in doubt use this) | ||
| 74 | \item \texttt{\bs Large} etc. change the text until the end of the block | ||
| 75 | \item Some people use \texttt{\{\bs bf Hello\}}, but it is deprecated | ||
| 76 | \end{itemize} | ||
| 77 | \end{frame} | ||
| 78 | |||
| 79 | \begin{frame}{Text formatting} | ||
| 80 | \begin{center} | ||
| 81 | \begin{tabular}{lc} | ||
| 82 | \texttt{\{\bs tiny Hello\}} & {\tiny Hello} \\ | ||
| 83 | \texttt{\{\bs scriptsize Hello\}} & {\scriptsize Hello} \\ | ||
| 84 | \texttt{\{\bs footnotesize Hello\}} & {\footnotesize Hello} \\ | ||
| 85 | \texttt{\{\bs normalsize Hello\}} & {\normalsize Hello} \\ | ||
| 86 | \texttt{\{\bs large Hello\}} & {\large Hello} \\ | ||
| 87 | \texttt{\{\bs Large Hello\}} & {\Large Hello} \\ | ||
| 88 | \texttt{\{\bs LARGE Hello\}} & {\LARGE Hello} \\ | ||
| 89 | \texttt{\{\bs huge Hello\}} & {\huge Hello} \\ | ||
| 90 | \texttt{\{\bs Huge Hello\}} & {\Huge Hello} \\ | ||
| 91 | \end{tabular} | ||
| 92 | \end{center} | ||
| 93 | \end{frame} | ||
| 94 | |||
| 95 | \begin{frame}{Math mode} | ||
| 96 | \texttt{One can write math inline, like | ||
| 97 | {\color{red}\bs(} \bs sum\_i\bs frac\{i\}\{2\} {\color{red}\bs)}, | ||
| 98 | or in displaystyle: | ||
| 99 | {\color{red}\bs[} \bs sum\_i\bs frac\{i\}\{2\} {\color{red}\bs]} | ||
| 100 | } | ||
| 101 | |||
| 102 | \vspace{1.5cm} | ||
| 103 | One can write math inline, like \(\sum_i\frac{i}{2}\) or in displaystyle: | ||
| 104 | \[\sum_i\frac{i}{2}\] | ||
| 105 | \end{frame} | ||
| 106 | |||
| 107 | \begin{frame}{Math mode} | ||
| 108 | \begin{center} | ||
| 109 | For formulas spanning multiple lines you can use: | ||
| 110 | |||
| 111 | \vspace{0.5cm} | ||
| 112 | \texttt{\color{red}\bs begin\{align\} (...) \bs end \{align\}} | ||
| 113 | \begin{align} | ||
| 114 | e^x =& \sum_{n=0}^{\infty} \frac{x^n}{n!} \\ | ||
| 115 | =& 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \cdots | ||
| 116 | \end{align} | ||
| 117 | or \texttt{\color{red}\bs begin\{align*\} (...) \bs end\{align*\}} for no | ||
| 118 | numbers. | ||
| 119 | \end{center} | ||
| 120 | \end{frame} | ||
| 121 | |||
| 122 | \begin{frame}{Math mode} | ||
| 123 | \begin{itemize} | ||
| 124 | \item Some people use \texttt{\$2+2=4\$} instead of \texttt{\bs(2+2=4\bs)} | ||
| 125 | \item Some \textbf{evil} people use \texttt{\$\$2+2=4\$\$} instead of | ||
| 126 | \texttt{\bs[2+2=4\bs]} (don't try this at home!) | ||
| 127 | \item For \texttt{align} use \texttt{\bs nonumber} to remove one number | ||
| 128 | and \texttt{\&} to align. | ||
| 129 | \item For example I always use \texttt{\$2+2=4\$} and the \texttt{align*} | ||
| 130 | environment. | ||
| 131 | \end{itemize} | ||
| 132 | \end{frame} | ||
| 133 | |||
| 134 | \begin{frame}{Math mode} | ||
| 135 | \begin{itemize} | ||
| 136 | \item Simple symbols: letters, numbers, $+,-,=,<,>$... | ||
| 137 | \item Symbols that need a \textbf{command}: | ||
| 138 | |||
| 139 | \vspace{0.6cm} | ||
| 140 | \begin{tabular}{c|c|c|c|c} | ||
| 141 | \texttt{\bs alpha, \bs Phi} & \texttt{\bs times, \bs cdot} & | ||
| 142 | \texttt{\bs sum} & \texttt{\bs leq, \bs geq} & \texttt{\bs infty}\\ | ||
| 143 | $\alpha,\Phi$ & $\times,\cdot$ & $\sum$ & $\leq,\geq$ & $\infty$ | ||
| 144 | \end{tabular} | ||
| 145 | \vspace{0.6cm} | ||
| 146 | \item Negate symbols with \texttt{\bs not}: | ||
| 147 | \begin{align*} | ||
| 148 | \texttt{x \bs not \bs in A} \qquad\to&\qquad x\not\in A\\ | ||
| 149 | \texttt{x \bs not = y}\quad\text{ or }\quad\texttt{x \bs neq y} | ||
| 150 | \qquad\to&\qquad x\neq y\\ | ||
| 151 | \end{align*} | ||
| 152 | \end{itemize} | ||
| 153 | \end{frame} | ||
| 154 | |||
| 155 | \begin{frame}{Math mode} | ||
| 156 | \begin{itemize} | ||
| 157 | \item Some commands take one or more \textbf{arguments} (like | ||
| 158 | \texttt{\bs frac}). | ||
| 159 | |||
| 160 | Anything can be an argument: | ||
| 161 | \begin{align*} | ||
| 162 | \texttt{\bs frac\{1\}\{\bs sum\_\{n\}\}}\qquad\to\qquad | ||
| 163 | \frac{1}{\sum_{n} \sqrt n} | ||
| 164 | \end{align*} | ||
| 165 | \item A few commands take \textbf{options}: | ||
| 166 | \texttt{\bs sqrt[3]\{x\}} $\to\,\sqrt[3]{x}$ | ||
| 167 | %\item Most of these commands work only in Math mode | ||
| 168 | \end{itemize} | ||
| 169 | \end{frame} | ||
| 170 | |||
| 171 | |||
| 172 | \begin{frame}{Math mode} | ||
| 173 | \begin{itemize} | ||
| 174 | \item Every symbol can have a \textbf{subscript} and a \textbf{superscript} | ||
| 175 | \begin{align*} | ||
| 176 | \texttt{x\_0\^{}\{23\}} \qquad \to \qquad x_0^{23} | ||
| 177 | \end{align*} | ||
| 178 | \item Anything can be a sub/superscript: | ||
| 179 | \begin{align*} | ||
| 180 | \texttt{\bs int\_\{\bs phi (y)\}\^{}\{2\^{}\{n\_1\}\}} | ||
| 181 | \qquad \to \qquad \int_{\phi(y)}^{2^{n_1}} | ||
| 182 | \end{align*} | ||
| 183 | \end{itemize} | ||
| 184 | \end{frame} | ||
| 185 | |||
| 186 | |||
| 187 | \begin{frame}{Math mode} | ||
| 188 | \begin{itemize} | ||
| 189 | \item Adjust parentheses size with \texttt{\bs left(} and | ||
| 190 | \texttt{\bs right)}: \[\left(\frac{x+6}{y-2}\right)\] | ||
| 191 | \item Insert text with \texttt{\bs text} and | ||
| 192 | spaces with \texttt{\bs ,} and \texttt{\bs quad}: | ||
| 193 | \[\text{this symbol}\quad \sum_{n=0}^\infty \frac{x^n}{n!} \quad | ||
| 194 | \text{is in math mode}, this is not text\] | ||
| 195 | \end{itemize} | ||
| 196 | \end{frame} | ||
| 197 | |||
| 198 | \begin{frame}{Math mode} | ||
| 199 | |||
| 200 | \begin{itemize} | ||
| 201 | \item Fancy letters with \texttt{\bs mathcal}, | ||
| 202 | \texttt{\bs mathbb} and \texttt{\bs mathfrak}: | ||
| 203 | \begin{align*} | ||
| 204 | \mathcal{A} \qquad \mathbb R \qquad \mathfrak p | ||
| 205 | \end{align*} | ||
| 206 | \item For custom operators use \texttt{\bs operatorname\{oper\}}: | ||
| 207 | \begin{align*} | ||
| 208 | \operatorname{oper}(x) | ||
| 209 | \end{align*} | ||
| 210 | \item Pro-tip: write \texttt{\bs newcommand\{\bs R\}\{\bs mathbb R\}} and | ||
| 211 | \texttt{\bs DeclareMathOperator\{\bs lcm\}\{lcm\}} in your preamble! | ||
| 212 | \end{itemize} | ||
| 213 | \end{frame} | ||
| 214 | |||
| 215 | \begin{frame}{Math mode} | ||
| 216 | \begin{itemize} | ||
| 217 | \item Wikibooks page on Math mode: | ||
| 218 | {\small\url{https://en.wikibooks.org/wiki/LaTeX/Mathematics}} | ||
| 219 | \item Advanced stuff: | ||
| 220 | {\small\url{https://en.wikibooks.org/wiki/LaTeX/Advanced_Mathematics}} | ||
| 221 | \item List of Mathematical symbols: | ||
| 222 | {\small\url{https://www.caam.rice.edu/~heinken/latex/symbols.pdf}} | ||
| 223 | \end{itemize} | ||
| 224 | \end{frame} | ||
| 225 | |||
| 226 | \begin{frame}{Environments} | ||
| 227 | \texttt{\color{red}\bs begin\{something\}} | ||
| 228 | Inside an environment | ||
| 229 | \texttt{\color{red}\bs end\{something\}} | ||
| 230 | |||
| 231 | \vspace{0.8cm} | ||
| 232 | \begin{itemize} | ||
| 233 | \item We have seen \texttt{document} and \texttt{align} | ||
| 234 | \item Text and symbols appear differently depending on the environment | ||
| 235 | \item Certain commands are specific to an environment | ||
| 236 | \item You can define new environments | ||
| 237 | \end{itemize} | ||
| 238 | \end{frame} | ||
| 239 | |||
| 240 | |||
| 241 | \begin{frame}{Environments} | ||
| 242 | Lists: \texttt{\color{red}itemize} and \texttt{\color{red}enumerate} | ||
| 243 | |||
| 244 | \vspace{0.8cm} | ||
| 245 | \begin{columns} | ||
| 246 | \column{0.5\textwidth} | ||
| 247 | \begin{itemize} | ||
| 248 | \item First: \[2+2=4\] | ||
| 249 | \item Second | ||
| 250 | \end{itemize} | ||
| 251 | |||
| 252 | \column{0.5\textwidth} | ||
| 253 | \texttt{\bs begin\{itemize\}} | ||
| 254 | |||
| 255 | \texttt{\qquad \bs item First: \bs[2+2=4\bs]} | ||
| 256 | |||
| 257 | \texttt{\qquad \bs item Second} | ||
| 258 | |||
| 259 | \texttt{\bs end\{itemize\}} | ||
| 260 | \end{columns} | ||
| 261 | \end{frame} | ||
| 262 | |||
| 263 | \begin{frame}{Environments} | ||
| 264 | Tables: \texttt{tabular} (text) and \texttt{array} (Math mode) | ||
| 265 | |||
| 266 | \vspace{0.8cm} | ||
| 267 | \begin{columns} | ||
| 268 | \column{0.5\textwidth} | ||
| 269 | \begin{tabular}{r|cc} | ||
| 270 | This & is & just \\ | ||
| 271 | \hline | ||
| 272 | a & boring & table | ||
| 273 | \end{tabular} | ||
| 274 | |||
| 275 | \column{0.5\textwidth} | ||
| 276 | \texttt{\bs begin\{tabular\}\{r|cc\}} | ||
| 277 | |||
| 278 | \texttt{\qquad This \& is \& just \bs\bs} | ||
| 279 | |||
| 280 | \texttt{\qquad \bs hline} | ||
| 281 | |||
| 282 | \texttt{\qquad a \& boring \& table} | ||
| 283 | |||
| 284 | \texttt{\bs end\{tabular\}} | ||
| 285 | \end{columns} | ||
| 286 | |||
| 287 | \vspace{0.8cm} | ||
| 288 | Matrices: \texttt{array} with parentheses or \texttt{pmatrix} | ||
| 289 | \end{frame} | ||
| 290 | |||
| 291 | \begin{frame}{Sections} | ||
| 292 | \begin{itemize} | ||
| 293 | \item Use \texttt{\bs section\{Section Name\}} to start a new section | ||
| 294 | \item Also: \texttt{\bs chapter} (book only), \texttt{\bs subsection}, | ||
| 295 | \texttt{subsubsection}... | ||
| 296 | \item \texttt{\bs section*\{Name\}} for no number | ||
| 297 | \item Sections after \texttt{\bs appendix} are numbered differently | ||
| 298 | \end{itemize} | ||
| 299 | \end{frame} | ||
| 300 | |||
| 301 | \begin{frame}{Theorems} | ||
| 302 | |||
| 303 | \begin{itemize} | ||
| 304 | \item In preamble: \texttt{\bs usepackage\{amsthm\}} | ||
| 305 | \item Also in preamble \texttt{\bs newtheorem \{envname\}\{Theorem\}} | ||
| 306 | \item Use \texttt{\bs newtheorem*} for no number | ||
| 307 | \end{itemize} | ||
| 308 | \end{frame} | ||
| 309 | |||
| 310 | \begin{frame}{Theorems} | ||
| 311 | \begin{columns} | ||
| 312 | \column{0.5\textwidth} | ||
| 313 | \includegraphics[scale=0.3]{img/thm_pre.png} | ||
| 314 | |||
| 315 | \vspace{0.2cm} | ||
| 316 | \vdots | ||
| 317 | \vspace{0.3cm} | ||
| 318 | |||
| 319 | \includegraphics[scale=0.3]{img/thm_tex.png} | ||
| 320 | |||
| 321 | \column{0.5\textwidth} | ||
| 322 | \includegraphics[scale=0.2]{img/thm_pdf.png} | ||
| 323 | |||
| 324 | \vspace{1cm} | ||
| 325 | \end{columns} | ||
| 326 | \end{frame} | ||
| 327 | |||
| 328 | \begin{frame}{End of the lecture} | ||
| 329 | For next time: | ||
| 330 | |||
| 331 | \vspace{0.8cm} | ||
| 332 | \begin{itemize} | ||
| 333 | \item Install Latex on your PC | ||
| 334 | \item Start writing something in Latex (e.g. homework) | ||
| 335 | \item Email me if you have any question | ||
| 336 | \end{itemize} | ||
| 337 | \end{frame} | ||
| 338 | |||
| 339 | \end{document} | ||
| 340 | |||
diff --git a/src/Lecture1/slides/2-LatexFundamentals.toc b/src/Lecture1/slides/2-LatexFundamentals.toc new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/src/Lecture1/slides/2-LatexFundamentals.toc | |||
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| 1 | \frametitle{Math mode - align and equation} | ||
| 2 | \begin{center} | ||
| 3 | For formulas spanning multiple lines you can use: | ||
| 4 | \begin{columns} | ||
| 5 | \column{0.5\textwidth} | ||
| 6 | \texttt{\bs begin\{align\}(...)\bs end \{align\}} | ||
| 7 | \begin{align} | ||
| 8 | \sum_{n=1}^\infty n =& 1+2+3+4+5+\cdots=\\ | ||
| 9 | =& -\frac12 | ||
| 10 | \end{align} | ||
| 11 | \column{0.5\textwidth} | ||
| 12 | \texttt{\bs begin\{equation\}(...)\bs end \{equation\}} | ||
| 13 | \begin{equation} | ||
| 14 | \sum_{n=1}^\infty n = 1+2+3+4+5+\cdots=\\ | ||
| 15 | = -\frac12 | ||
| 16 | \end{equation} | ||
| 17 | \end{columns} | ||
| 18 | \end{center} | ||
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| 72 | </svg> \ No newline at end of file | ||
diff --git a/src/Lecture1/slides/img/thm_pdf.png b/src/Lecture1/slides/img/thm_pdf.png new file mode 100644 index 0000000..dfeed6f --- /dev/null +++ b/src/Lecture1/slides/img/thm_pdf.png | |||
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diff --git a/src/Lecture1/slides/img/thm_pre.png b/src/Lecture1/slides/img/thm_pre.png new file mode 100644 index 0000000..5c2147b --- /dev/null +++ b/src/Lecture1/slides/img/thm_pre.png | |||
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diff --git a/src/Lecture1/slides/img/thm_tex.png b/src/Lecture1/slides/img/thm_tex.png new file mode 100644 index 0000000..f98ba0b --- /dev/null +++ b/src/Lecture1/slides/img/thm_tex.png | |||
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diff --git a/src/Lecture1/slides/img/unilu.jpg b/src/Lecture1/slides/img/unilu.jpg new file mode 100644 index 0000000..5265563 --- /dev/null +++ b/src/Lecture1/slides/img/unilu.jpg | |||
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diff --git a/src/Lecture1/slides/svg-inkscape/sage_svg-tex.pdf b/src/Lecture1/slides/svg-inkscape/sage_svg-tex.pdf new file mode 100644 index 0000000..ded4361 --- /dev/null +++ b/src/Lecture1/slides/svg-inkscape/sage_svg-tex.pdf | |||
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diff --git a/src/Lecture1/slides/svg-inkscape/sage_svg-tex.pdf_tex b/src/Lecture1/slides/svg-inkscape/sage_svg-tex.pdf_tex new file mode 100644 index 0000000..14f08dd --- /dev/null +++ b/src/Lecture1/slides/svg-inkscape/sage_svg-tex.pdf_tex | |||
| @@ -0,0 +1,58 @@ | |||
| 1 | %% Creator: Inkscape 1.0.1 (unknown), www.inkscape.org | ||
| 2 | %% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 | ||
| 3 | %% Accompanies image file 'sage_svg-tex.pdf' (pdf, eps, ps) | ||
| 4 | %% | ||
| 5 | %% To include the image in your LaTeX document, write | ||
| 6 | %% \input{<filename>.pdf_tex} | ||
| 7 | %% instead of | ||
| 8 | %% \includegraphics{<filename>.pdf} | ||
| 9 | %% To scale the image, write | ||
| 10 | %% \def\svgwidth{<desired width>} | ||
| 11 | %% \input{<filename>.pdf_tex} | ||
| 12 | %% instead of | ||
| 13 | %% \includegraphics[width=<desired width>]{<filename>.pdf} | ||
| 14 | %% | ||
| 15 | %% Images with a different path to the parent latex file can | ||
| 16 | %% be accessed with the `import' package (which may need to be | ||
| 17 | %% installed) using | ||
| 18 | %% \usepackage{import} | ||
| 19 | %% in the preamble, and then including the image with | ||
| 20 | %% \import{<path to file>}{<filename>.pdf_tex} | ||
| 21 | %% Alternatively, one can specify | ||
| 22 | %% \graphicspath{{<path to file>/}} | ||
| 23 | %% | ||
| 24 | %% For more information, please see info/svg-inkscape on CTAN: | ||
| 25 | %% http://tug.ctan.org/tex-archive/info/svg-inkscape | ||
| 26 | %% | ||
| 27 | \begingroup% | ||
| 28 | \makeatletter% | ||
| 29 | \providecommand\color[2][]{% | ||
| 30 | \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}% | ||
| 31 | \renewcommand\color[2][]{}% | ||
| 32 | }% | ||
| 33 | \providecommand\transparent[1]{% | ||
| 34 | \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}% | ||
| 35 | \renewcommand\transparent[1]{}% | ||
| 36 | }% | ||
| 37 | \providecommand\rotatebox[2]{#2}% | ||
| 38 | \newcommand*\fsize{\dimexpr\f@size pt\relax}% | ||
| 39 | \newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}% | ||
| 40 | \ifx\svgwidth\undefined% | ||
| 41 | \setlength{\unitlength}{375bp}% | ||
| 42 | \ifx\svgscale\undefined% | ||
| 43 | \relax% | ||
| 44 | \else% | ||
| 45 | \setlength{\unitlength}{\unitlength * \real{\svgscale}}% | ||
| 46 | \fi% | ||
| 47 | \else% | ||
| 48 | \setlength{\unitlength}{\svgwidth}% | ||
| 49 | \fi% | ||
| 50 | \global\let\svgwidth\undefined% | ||
| 51 | \global\let\svgscale\undefined% | ||
| 52 | \makeatother% | ||
| 53 | \begin{picture}(1,0.26172667)% | ||
| 54 | \lineheight{1}% | ||
| 55 | \setlength\tabcolsep{0pt}% | ||
| 56 | \put(0,0){\includegraphics[width=\unitlength,page=1]{sage_svg-tex.pdf}}% | ||
| 57 | \end{picture}% | ||
| 58 | \endgroup% | ||
