lecture-notes.sty

\ProvidesPackage{lecture-notes}

%% PACKAGES %%
\usepackage{geometry}         % page layout
\usepackage{setspace}         % spacing of text
\usepackage{enumitem}         % lists
\usepackage{caption}          % captions
\usepackage{calc}             % provides the '\widthof' command
\usepackage[many]{tcolorbox}  % boxes, 'many' loads additional libraries

\usepackage{ccicons}          % icons for Creative Commons licenses
\usepackage{graphicx}         % images
\graphicspath{{./images/}}    % sets path for images

\usepackage{amsthm}     % theorem setup of AMS document classes
\usepackage{amssymb}    % math symbols, operators, etc.
\usepackage{amsfonts}   % extended set of fonts for use in mathematics
\usepackage{mathtools}  % tools for mathematical typesetting
\usepackage{physics}    % includes the \norm and \abs commands
\usepackage{nicefrac}   % for typesetting "nice" fractions


%% TIKZ %%
\usepackage{tikz}
\usetikzlibrary{
    backgrounds,
    calc,
    fadings,
    shapes.callouts,
    shapes.arrows
}  % additional TikZ libraries


%% FONT & LINE SPACING %%
\usepackage[sfdefault, light]{FiraSans}
\onehalfspacing  % line spacing


%% PAGE SETUP %%
% Compute the height of the page numbers printed on each page
\newlength{\pagemarkheight}
\settoheight{\pagemarkheight}{\bfseries\sffamily 1}

\geometry{
    twoside,
    top=26mm,
    inner=16mm,
    outer=16mm,
    bottom=16mm,
    headsep=26mm-(8mm+\pagemarkheight)
}


%% HEADERS & FOOTERS %%
% Loading 'scrlayer-scrpage' automatically activates the pagestyle 'scrheadings' and swaps the page styles 'headings' for 'scrheadings' and 'plain' for 'plain.scrheadings'
\usepackage[
    automark,
    headsepline=0pt,
    headwidth=\textwidth+8mm:0pt  % extend header 8mm
]{scrlayer-scrpage}

\setkomafont{pageheadfoot}{\color{gray}}
\setkomafont{pagenumber}{\color{blue}\bfseries}

% NOTE: Using the starred commands changes both page styles at once
\ofoot*{}
\rohead*{\headmark\hspace{8mm-\widthof{\pagemark}}\pagemark}
\lehead*{\pagemark\hspace{8mm-\widthof{\pagemark}}\headmark}


%% LISTS %%
\setlist[1]{labelindent=\parindent}
\setlist[enumerate, 1]{label = (\arabic*)}  % first level
\setlist[enumerate, 2]{label = (\alph*)}    % second level


%% CAPTIONS %%
\addtokomafont{caption}{\small}        % font of caption text
\setkomafont{captionlabel}{\bfseries}  % font of caption label
\renewcommand*{\captionformat}{\quad}  % no colon as separator
\setcaptionalignment{j}                % justify caption
\setcapindent{0mm}                     % no indentation for multi-line captions
\captionsetup{parindent=\parindent}    % controls paragraph indentation


%% QUOTES %%
\newcommand{\say}[1]{``#1''}


%% COLORS %%
\definecolor{blue}{HTML}{0069B3}
\definecolor{gray}{HTML}{53606B}
\definecolor{lightblue}{HTML}{DCE6EB}

\definecolor{red}{HTML}{E7004A}
\definecolor{green}{HTML}{00BD67}
\definecolor{purple}{HTML}{4E00BB}
\definecolor{orange}{HTML}{FF9000}
\definecolor{yellow}{HTML}{FFBE00}

\definecolor{dark-gray}{HTML}{414141}  % MIT OpenCourseWare
\definecolor{dark-red}{HTML}{7B1429}   % MIT OpenCourseWare

\definecolor{desmos-blue}{HTML}{245AA3}   % Desmos Graphing Calculator
\definecolor{desmos-red}{HTML}{B82F32}    % Desmos Graphing Calculator
\definecolor{desmos-green}{HTML}{2E7C36}  % Desmos Graphing Calculator


%% BOXES %%
\tcbset{
    enhanced,
    breakable,
    sharp corners=all
}

\newtcolorbox{thm}{colback=blue!50!white, colframe=blue!50!white}
\newtcolorbox{prop}{colback=blue!25!white, colframe=blue!25!white}
\newtcolorbox{lem}{colback=lightblue, colframe=lightblue}
\newtcolorbox{cor}{colback=lightblue, colframe=lightblue}
\newtcolorbox{defi}{colback=gray!50!white, colframe=gray!50!white}


%% MATH ENVIRONMENTS WITH BOXES %%
\newtheorem{Theorem}{Theorem}[chapter]
\newenvironment{theorem}{
    \begin{thm}
    \begin{Theorem}
}{
    \end{Theorem}
    \end{thm}
}

\newtheorem{Proposition}[Theorem]{Proposition}
\newenvironment{proposition}{
    \begin{prop}
    \begin{Proposition}
}{
    \end{Proposition}
    \end{prop}
}

\newtheorem{Lemma}[Theorem]{Lemma}
\newenvironment{lemma}{
    \begin{lem}
    \begin{Lemma}
}{
    \end{Lemma}
    \end{lem}
}

\newtheorem{Corollary}[Theorem]{Corollary}
\newenvironment{corollary}{
    \begin{cor}
    \begin{Corollary}
}{
    \end{Corollary}
    \end{cor}
}

\newtheorem{Definition}[Theorem]{Definition}
\newenvironment{definition}{
    \begin{defi}
    \begin{Definition}
}{
    \end{Definition}
    \end{defi}
}


%% MATH ENVIRONMENTS WITHOUT BOXES %%
\newtheorem{example}[Theorem]{Example}
\newtheorem{remark}[Theorem]{Remark}


%% HIGHLIGHT MATH DISPLAYS %%
\newcommand{\highlightMath}[1]{
    \tcboxmath[colback=gray!25!white, colframe=gray!25!white]{
        #1
    }
}


%% NUMBERING OF EQUATIONS %%
\numberwithin{equation}{chapter}


%% EXERCISES & SOLUTIONS %%
\newtheorem{exercise}{Exercise}[]
\newenvironment{solution}[1]{
    \begin{proof}[\normalfont\textbf{Solution to Exercise #1}]
}{
    \end{proof}
}


%% MATH %%
\newcommand*{\e}{\mathrm{e}}                     % Euler's number
\newcommand*{\R}{\mathbb{R}}                     % real numbers
\newcommand*{\N}{\mathbb{N}}                     % natural numbers
\renewcommand*{\P}{\mathbb{P}}                   % probability measure

\newcommand*{\set}[1]{\left\{#1\right\}}         % set notation
\newcommand*{\given}[1][]{\mathrel{#1|}}         % vertical bar w/ spacing
\newcommand*{\with}[1][]{\mathrel{#1|}}          % same as above
\DeclareMathOperator{\power}{\wp}                % power set

\DeclareMathOperator*{\argmax}{argmax}           % argmax
\DeclareMathOperator*{\argmin}{argmin}           % argmin
\DeclareMathOperator{\sgn}{sgn}                  % sign function
\DeclareMathOperator{\Exp}{\mathbb{E}}           % expectation
\DeclareMathOperator{\Var}{Var}                  % variance
\DeclareMathOperator{\Cov}{Cov}                  % covariance
\DeclareMathOperator{\MSE}{MSE}                  % mean squared error

\DeclareMathOperator{\Ber}{Ber}                  % Bernoulli distribution
\DeclareMathOperator{\Rad}{Rad}                  % Rademacher distribution

\newcommand*{\dx}{\, \mathrm{d}x}                % dx
\newcommand*{\dt}{\, \mathrm{d}t}                % dt
\newcommand*{\du}{\, \mathrm{d}u}                % du
\renewcommand*{\dv}{\, \mathrm{d}v}              % dv
\newcommand*{\dP}{\, \mathrm{d}\P}               % dP

\newcommand*{\ind}[1]{\mathbf{1}_{#1}}           % indicator function
\newcommand*{\indSet}[1]{\mathbf{1}_{\set{#1}}}  % indicator function (v2)


%% SPACING BEFORE & AFTER DELIMITERS %%
% Based on https://tex.stackexchange.com/questions/2607/spacing-around-left-and-right
\let\originalleft\left
\let\originalright\right
\renewcommand{\left}{\mathopen{}\mathclose\bgroup\originalleft}
\renewcommand{\right}{\aftergroup\egroup\originalright}


%% COLORED DELIMITERS %%
\newcommand{\cLeft}[2][.]{%
    \begingroup\colorlet{leftColor}{.}
    \color{#1}\left#2\color{leftColor}
}  % left delimiter
\newcommand{\cRight}[2][.]{%
  \color{#1}\right#2\endgroup
}  % right delimiter


%% "PART" TITLE PAGES %%
% Based on https://tex.stackexchange.com/questions/705424/getting-rid-of-additional-space-above-and-below-the-title-of-a-part

% Remove the "." after "Part <counter>"
\renewcommand\partformat{%
    \partname~\thepart%
}

% Get rid of any formatting of the title appearing on 'part' pages
\setkomafont{part}{}
\setkomafont{partnumber}{}

% Modify page layout
\newcounter{image}
\renewcommand\partlineswithprefixformat[3]{%
    \thispagestyle{empty}%
    \begin{tikzpicture}[remember picture, overlay]
        % HEADLINE
        \node[rectangle, anchor=south west, inner sep=0pt, text width=130mm, text=white] (headline) at ($(current page.south west) + (16mm, 72mm)$) {\fontsize{24pt}{34pt}\let\strut\relax\bfseries #3\par};

        % SUBHEADLINE
        \node[rectangle, anchor=south west, inner sep=0pt, text width=130mm, text=white] (subheadline) at ($(headline.north west) + (0, 16mm)$) {\fontsize{12pt}{14pt}\bfseries #2\par};

        \begin{scope}[on background layer]
            % LIGHTBLUE BACKGROUND
            % \fill[lightblue] ($(current page.north west) + (8mm, -38mm)$) rectangle ($(current page.east |- subheadline.north) + (0, 16mm)$);

            % BACKGROUND IMAGE
            \setcounter{image}{\value{part}}
            \node[opacity=.5, anchor=north west, inner sep=0pt] at ($(current page.north west) + (8mm, -38mm)$) {\includegraphics[width=202mm]{backgrounds/part-\arabic{image}}};
    
            % LOGO
            % \node[anchor=north east, inner sep=0pt] (jlu) at ($(current page.north east) - (8mm, 8mm)$) {\includegraphics[width=48mm, height=60mm]{tmp/logo}};
    
            % BLUE TEXTBOX
            \fill[blue, fill opacity=0.9] ($(current page.west |- subheadline.north) + (0mm, 32mm)$) rectangle ($(current page.west |- headline.south) + (154mm, -16mm)$);
        \end{scope}
    \end{tikzpicture}
}


%% BIBLIOGRAPHY %%
\usepackage[
    backend=biber,
    style=alphabetic
]{biblatex}


%% HYPERLINKS %%
\usepackage{hyperref}  % adds hyperlinks to PDF (LAST PACKAGE TO LOAD!)
\hypersetup{
    colorlinks=true,
    citecolor=blue!80!black,  % citations
    linkcolor=blue!80!black,  % internal links (figures, sections, etc.)
    urlcolor=blue!80!black    % web links
}