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Featured Courses

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Continuity in Advanced Calculus

A focused guide on continuity: core definitions, types of discontinuities, and continuity of elementary functions.

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Data Structures

Homepage of the Data Structures course: Learn about logical and storage structures of data and their operations, laying a solid foundation for efficient programming.

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Exploring Functions in Advanced Mathematics

Functions are a core idea of advanced mathematics. This course walks through foundational concepts, key properties, and classic constants so you can read, reason, and compute with confidence.

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The World of Limits in Advanced Mathematics

Limits are the foundation of calculus and one of the most important ideas in advanced mathematics.

Multivariable Integration

A systematic study of double integrals, triple integrals, line integrals, and surface integrals — their concepts, their computation, and their applications — together with the three central theorems of the subject: Green, Gauss, and Stokes.

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Sequences

Sequences bridge discrete thinking and calculus. This track covers core definitions, limits, convergence, and classic models.

Discovery Experiments

Self-designed experiments to uncover the truth step by step

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A Mathematical Exploration of the Golden Ratio

Starting from a mysterious proportion, connect geometry, algebra, sequences, spirals, and art in a complete exploration of the golden ratio

Hands-on Lessons

Follow real projects step by step, from scratch to full launch

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Develop a Global Hotkey Desktop App with Flutter

Develop a macOS desktop application with Flutter that can be invoked with global hotkeys.

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Build MCP Server for Cursor

This is a tutorial project that teaches users how to develop an MCP Server for Cursor IDE.

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Build Resume PDF with Vue

Build a resume page with Vue 3 + Vite + Puppeteer and export to high-quality A4 PDF

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Build a Website with Laravel

This page documents the entire process of me developing a website that sells APIs.

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Build Your Own Web Toolbox

Build a comprehensive online toolbox website from scratch

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Let's build a complete knowledge system together, grow in exploration, and progress in thinking

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