\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[margin=1.5cm, top=2cm, bottom=2cm]{geometry} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{graphicx} \usepackage{setspace} \setstretch{0.9} \title{[Course Code] Notes - [Topic/Date]} \author{Your Name} \date{\today} \begin{document} \maketitle \section{Section Title} Brief introduction or overview of the topic. \subsection{Definitions} \textbf{Key Term:} Definition here \textbf{Mathematical Definition:} \[ \text{Formula} = \mathbb{E}_{(x,y) \sim D}[L(h(x), y)] \] \subsection{Important Concepts} \begin{itemize} \item \textbf{Point 1:} Description with math $\theta$ \item \textbf{Point 2:} Another important concept \item \textbf{Point 3:} Final key point \end{itemize} \section{Mathematical Derivations} \subsection{Step-by-Step Process} Starting from the basic equation: \[ f(x) = ax + b \] Taking the derivative: \[ \frac{df}{dx} = a \] \textbf{Result:} The derivative is constant. \subsection{Example Calculation} Given data points $(x_1, y_1), (x_2, y_2), \ldots, (x_n, y_n)$: \textbf{Step 1:} Calculate the mean \[ \bar{x} = \frac{1}{n}\sum_{i=1}^{n} x_i \] \textbf{Step 2:} Expanding the sum: \[ = \frac{1}{n}[x_1 + x_2 + \ldots + x_n] \] \section{Algorithms} \subsection{Algorithm Name} \textbf{Input:} Data, parameters, etc. \textbf{Algorithm:} \begin{enumerate} \item Initialize parameters $\theta = 0$ \item While not converged: \begin{itemize} \item Update: $\theta := \theta - \alpha \nabla J(\theta)$ \item Check convergence: $|J(\theta^{(t+1)}) - J(\theta^{(t)})| < \epsilon$ \end{itemize} \item Return $\hat{\theta}$ \end{enumerate} \textbf{Output:} Optimized parameters \section{Visual Elements} \subsection{Including Figures} % Uncomment and modify as needed: % \begin{figure}[h] % \centering % \includegraphics[width=0.8\textwidth]{your-image.png} % \caption{Your caption here} % \end{figure} \subsection{Key Insights} \textbf{Important Note:} Always remember that... \textbf{Practical Tip:} In practice, you should... \section{Summary} \textbf{Main Takeaways:} \begin{itemize} \item Summary point 1 \item Summary point 2 \item Summary point 3 \end{itemize} \textbf{Next Steps:} What to study next... \end{document}