Mathematics Courses and Certifications

Bond Mathematics - Interest Rates, Yields, and Price Sensitivity - Lecture 1, Part III

Explore bond fundamentals including interest rates, yield curves, duration, and convexity to master fixed-income investing and understand economic signals through bond mathematics.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Gautam Varde

Conditional Probability and Total Probability - Engineering Mathematics

Explore conditional and total probability concepts with practical problems, enhancing your understanding of these crucial engineering mathematics topics.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Gautam Varde

Probability: Picking Colored Balls from a Box or Bag - Advanced Mathematics

Learn to solve probability problems involving colored balls in boxes or bags, with applications in engineering and advanced mathematics.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Gautam Varde

Probability: Coins and Dice Problems in Advanced Mathematics

Solve probability problems involving coins and dice using advanced mathematical techniques for engineering and higher-level mathematics students.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

AnalystPrep

Technical Mathematics for GMAT Focus - Quantitative Reasoning Tactics

Master essential technical mathematics strategies for GMAT Focus quantitative reasoning, covering efficient problem-solving techniques, tactical approaches, and practical calculation methods.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Deciding What Game to Play, What Mathematics Problem to Solve

Explore how mathematicians decide which problems are worth solving, examining computational models of human judgment in games and mathematics, plus AI applications.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Harvard CMSA

What Mathematics Can Help Us Understand and Advance Machine Learning - ML, QML, and Dynamics

Explore the mathematical foundations of machine learning through dynamic systems, chaos theory, and tensor structures, examining their roles in neural networks and language models.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Topos Institute

Lean 4 - Empowering the Formal Mathematics Revolution and Beyond

Discover how Lean 4 proof assistant revolutionizes formal mathematics, enabling mathematicians to formalize complex theories while serving as a functional programming language for seamless mathematical-computational integration.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Discover AI

AI Mathematics Explained - The Easy Way: Reinforcement Learning and Multi-Agent Systems

Discover the mathematics behind reinforcement learning, focusing on multi-agent RL and meta-thinking concepts like REMA, explained in a clear, accessible manner for AI enthusiasts.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Ethereum Engineering Group

Automatic Market Makers: Design, Algorithms, and Mathematics

Dive into the mathematical foundations and algorithmic designs of Automated Market Makers, exploring implementations in Bancor, Uniswap, Balancer, and Curve protocols.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Mathematics of Intelligences - Computational Models, Neural Mechanisms, and Evolutionary Approaches

Explore computational models, neural mechanisms, and evolutionary approaches to understanding human, animal, and artificial intelligence through expert tutorials.

• YouTube
• 19 hours 18 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Gauge Theories and Differential Invariants - Recent Developments in Mathematics and Physics

Explore advanced gauge theories connecting theoretical physics and mathematics through Donaldson invariants, supersymmetric quantum field theories, and differential geometry applications.

• YouTube
• 20 hours 31 minutes
• Self-Paced
• Free Video

Harvard CMSA

The P vs. NP Problem - An Existential Question for Mathematics

Explore the profound P vs NP problem and its implications for mathematics, computing, and automated proof search in this millennium prize lecture by Harvard's Madhu Sudan.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Gresham College

The Shape of Plants - Why Plants Love Mathematics and Mathematicians Love Plants

Discover how mathematical principles govern plant structures, from Fibonacci spirals in leaves to fractal patterns in roots, revealing nature's elegant geometric designs.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Yannic Kilcher

AI and Formal Math - Formal Mathematics Statement Curriculum Learning

Explore AI's potential in formal mathematics through expert iteration, curriculum learning, and language modeling. Discover how machines and humans can collaborate to solve complex mathematical problems.

• YouTube
• 58 minutes
• Self-Paced
• Free Video