Add universal LaTeX notes template

- Universal template.tex for any course
- VSCode LaTeX Workshop configuration
- LaTeX .gitignore for auxiliary files
- Cursor.md for AI assistant context

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+# Cursor AI Project Context
+
+## 📚 Project Overview
+This is a **Universal LaTeX Academic Notes Template** repository. This template provides an optimized LaTeX structure for creating academic notes across different courses and subjects.
+
+## 🎯 Purpose
+- **Template-based**: Reusable LaTeX structure for consistent note-taking
+- **Multi-course**: Adaptable for any academic subject
+- **Math-friendly**: Pre-configured for mathematical formulas and algorithms
+- **Optimized Layout**: Compact margins and spacing for maximum content density
+
+## 📁 File Structure
+```
+course-notes/
+├── template.tex              # Main LaTeX template file
+├── .gitignore               # LaTeX build files exclusions
+├── .vscode/
+│   └── settings.json        # VSCode LaTeX Workshop configuration
+├── cursor.md               # This file - AI context
+├── README.md               # Human-readable documentation
+└── [date-folders]/         # Individual lecture notes (e.g., 2025-01-15/)
+    ├── [date]-notes.tex    # Lecture-specific notes
+    ├── [date]-notes.pdf    # Compiled PDF
+    └── images/             # Lecture images/diagrams
+```
+
+## 🔧 Technical Configuration
+
+### LaTeX Setup
+- **Engine**: pdflatex (preferred) or latexmk
+- **Packages**: amsmath, amsfonts, amssymb, graphicx, geometry, setspace
+- **Page Layout**: 1.5cm margins, 0.9 line spacing for compactness
+- **Math Mode**: Display equations `\[ \]`, inline math `$ $`
+
+### VSCode Integration
+- **Extension**: LaTeX Workshop
+- **Auto-build**: Enabled on file save
+- **Auto-clean**: Removes auxiliary files after build
+- **PDF Viewer**: Integrated tab viewer
+
+## 📝 Usage Patterns
+
+### Creating New Notes
+1. Copy `template.tex` to `YYYY-MM-DD/YYYY-MM-DD-notes.tex`
+2. Update title: `[Course Code] Notes - [Topic/Date]`
+3. Replace placeholder content with lecture material
+4. Build with pdflatex or use VSCode auto-build
+
+### Content Structure
+- **Definitions**: Use `\textbf{Term:}` followed by explanation
+- **Mathematical Formulas**: Display mode for key equations
+- **Algorithms**: Numbered enumerate environment
+- **Key Insights**: Bold formatting for important points
+- **Examples**: Step-by-step calculations with intermediate steps
+
+### Common LaTeX Patterns
+```latex
+% Key definitions
+\textbf{Definition:} Explanation here
+
+% Mathematical formulas
+\[
+\text{Formula} = \sum_{i=1}^{n} x_i
+\]
+
+% Algorithms
+\begin{enumerate}
+    \item Step 1: Initialize...
+    \item Step 2: While condition...
+    \item Step 3: Return result
+\end{enumerate}
+
+% Including images
+\begin{figure}[h]
+\centering
+\includegraphics[width=0.8\textwidth]{image-name.png}
+\caption{Description}
+\end{figure}
+```
+
+## 🎓 Academic Contexts
+This template works well for various subjects:
+- **Mathematics**: Proofs, theorems, problem solutions
+- **Computer Science**: Algorithms, data structures, complexity analysis
+- **Physics**: Equations, derivations, experimental procedures
+- **Engineering**: Technical specifications, design processes
+- **Economics**: Models, formulas, statistical analysis
+
+## 🤖 AI Assistant Guidelines
+
+### When helping with this project:
+1. **LaTeX Focus**: Prioritize LaTeX syntax and mathematical formatting
+2. **Subject Agnostic**: Adapt to any academic discipline
+3. **Template Consistency**: Maintain the established structure and style
+4. **Compact Layout**: Favor dense, information-rich formatting
+5. **Mathematical Precision**: Ensure correct mathematical notation
+6. **Build Process**: Always test compilation after changes
+
+### Common Tasks:
+- Converting handwritten/text notes to structured LaTeX
+- Adding mathematical formulas and algorithms
+- Including and formatting diagrams/images
+- Organizing content into logical sections
+- Optimizing layout for readability and compactness
+
+### File Organization:
+- Each lecture/topic gets its own dated folder
+- Images and diagrams in subfolder
+- Maintain consistent naming: `YYYY-MM-DD-notes.tex`
+- Git workflow: commit after each completed lecture
+
+## 🔄 Workflow Integration
+- **Version Control**: Git with meaningful commit messages
+- **Build System**: LaTeX Workshop with auto-compilation
+- **PDF Generation**: Immediate feedback with integrated viewer
+- **Template Updates**: Propagate improvements across all notes
+
+This template is optimized for academic efficiency and AI-assisted note-taking across all subjects! 
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