.

CS1527/notes-2024-01-23.md

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+

CS1527/notes-2024-01-26.md

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+b. Biometrics, Name, National ID of some form
+d. Phone number / extension
+g. Assign an ID

CS1527/notes-2024-01-30.md

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+

CS1534/notes-2024-01-23.md

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+

CS1534/notes-2024-01-30.md

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+

MA1511/admin.md

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+Course Coordinator Office: Fraser Noble 159
+Homework every 2 weeks
+	- 1 sheet of A4, optionally two-sided, to be put in a document feeder
+	- Student ID in top right of front, no name
+	- Submitted in box by Meston Lecture Theatre 1, labelled with course
+

MA1511/decls.tex

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+\documentclass[fleqn]{article}
+\usepackage{amsmath,amssymb}
+\usepackage[margin=0.25in]{geometry}
+\usepackage{enumitem}
+\usepackage{systeme}
+\usepackage{mathtools}
+
+\date{}
+\author{}
+
+\newcommand{\paren}[1]{\left(#1\right)}
+\renewcommand{\Re}[1]{\operatorname{\mathbb{R}e}\paren{#1}}
+\renewcommand{\Im}[1]{\operatorname{\mathbb{{I}}m}\paren{#1}}
+\newcommand{\C}{\mathbb{C}}
+\newcommand{\N}{\mathbb{N}}
+\newcommand{\Z}{\mathbb{Z}}
+\newcommand{\Q}{\mathbb{Q}}
+\newcommand{\R}{\mathbb{R}}
+\newcommand{\conj}[1]{\overline{#1}}
+\renewcommand{\mod}[1]{\left|#1\right|}
+\newcommand{\abs}[1]{\left|#1\right|}
+\newcommand{\polar}[2]{#1\paren{\cos{\paren{#2}} + i\sin{\paren{#2}}}}
+\newcommand{\adj}[1]{\operatorname{adj}#1}
+
+\makeatletter
+\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
+  \hskip -\arraycolsep
+  \let\@ifnextchar\new@ifnextchar
+  \array{#1}}
+\makeatother
+
+
+% https://gitlab.com/jim.hefferon/linear-algebra/-/blob/master/src/sty/linalgjh.sty
+\newlength{\grsteplength}
+\setlength{\grsteplength}{1.5ex plus .1ex minus .1ex}
+
+\newcommand{\grstep}[2][\relax]{%
+   \ensuremath{\mathrel{
+       \hspace{\grsteplength}\mathop{\longrightarrow}\limits^{#2\mathstrut}_{
+                                     \begin{subarray}{l} #1 \end{subarray}}\hspace{\grsteplength}}}}
+\newcommand{\repeatedgrstep}[2][\relax]{\hspace{-\grsteplength}\grstep[#1]{#2}}
+
+\newcommand{\swap}{\leftrightarrow}
+
+% https://tex.stackexchange.com/a/198806
+\makeatletter
+\newcommand{\subalign}[1]{%
+  \vcenter{%
+    \Let@ \restore@math@cr \default@tag
+    \baselineskip\fontdimen10 \scriptfont\tw@
+    \advance\baselineskip\fontdimen12 \scriptfont\tw@
+    \lineskip\thr@@\fontdimen8 \scriptfont\thr@@
+    \lineskiplimit\lineskip
+    \ialign{\hfil$\m@th\scriptstyle##$&$\m@th\scriptstyle{}##$\hfil\crcr
+      #1\crcr
+    }%
+  }%
+}
+\makeatother

MA1511/logic.tex

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+\input{decls.tex}
+\title{Essential Logic}
+\begin{document}
+\maketitle
+\begin{description}
+\item[Statement] Something which is either \emph{true} or \emph{false} \\
+Often dependent on variables from some universe; labelled $P$, $Q$, ...
+\end{description}
+\section*{Logical Connectives}
+\begin{description}
+\item[$\neg P$] NOT
+\item[$P \land Q$] Conjunction / AND
+\item[$P \lor Q$] Disjunction / OR
+\item[$P \implies Q$] Implication / IF
+\item[$P \iff Q$] IFF
+\item[Contrapositive of $P \implies Q$:] $\neg Q \implies \neg P$ \\
+	$\neg Q \implies \neg P \equiv P \implies Q \quad\forall P, Q$
+\end{description}
+\end{document}

MA1511/sets.tex

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+\input{decls.tex}
+\title{Sets}
+\begin{document}
+\maketitle
+Set comprehensions can be written $\{ x | x \in \N \}$ or $\{ x : x \in \N \}$ - '$:$' or '$|$'
+\begin{description}
+	\item[Axiom of Extensionality / Set Equality] $A = B \iff \forall x. (x \in A \iff x \in B)$
+	\item[$A \subseteq B$] \quad $\forall x \in A. x \in B$ \\
+		Is transitive, reflexive, antisymmetric
+	\item[$A \subset B$] \quad $(\forall x \in A.~x \in B) \land (\exists x \in B.~x \not\in A)$ \\
+		Is transitive, antisymmetric
+	\item[$\varnothing$] $\{\}$
+	\item[$\cup$] Union
+	\item[$\cap$] Intersection
+	\item[$A \setminus B$] \quad $\{ x \in A : x \not\in B \}$
+\end{description}
+\end{document}

MA1511/tmpl.tex

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+\input{decls.tex}
+\title{}
+\begin{document}
+\maketitle
+
+\end{document}