10 Lectures in Mathematics

This 10-lecture program introduces students to the foundational ideas, structures, and modern applications of mathematics. Beginning with high-school level concepts, the course expands into major fields of modern mathematics — including logic, analysis, algebra, geometry, topology, matrix theory, and financial mathematics.

Rather than traditional problem-drilling, this course is designed to help students:

• Build mathematical thinking and logic

• Understand the why behind formulas and theories

• Connect math to real-world systems

• Explore how mathematics drives today’s technology and finance

Topics include applications in large language models (AI/LLMs), neural networks, black-hole physics and game theory, blockchain encryption, bond pricing, stock-risk analysis, and portfolio management. Content may adjust to support student level and interest.