Mathematics Courses and Certifications

Wrath of Math

Linear Algebra Exercises - Practice Problems and Solutions

Enhance your knowledge of linear algebra through comprehensive exercises covering matrices, transformations, eigenvalues, and vector spaces with detailed solutions.

• YouTube
• 7 hours 56 minutes
• Self-Paced
• Free Video

Wrath of Math

Abstract Algebra

Master group theory fundamentals through binary operations, subgroups, homomorphisms, and quotient groups with rigorous proofs and practical examples.

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

Wrath of Math

Calculus 1 - Complete Course on Limits, Derivatives, and Integrals

Master fundamental calculus concepts including limits, derivatives, and integrals through comprehensive lessons covering differentiation rules, optimization, and applications.

• YouTube
• 6 hours 9 minutes
• Self-Paced
• Free Video

Weights & Biases

Math for Machine Learning

Master essential mathematical foundations including linear algebra, calculus, and probability theory specifically designed for machine learning applications.

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

Keith Galli

Algorithms - Recurrences

Master recurrence equations through Fibonacci, merge sort, and binary search examples using recursion-tree and master methods for algorithm analysis.

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

CodeEmporium

Probability Theory for Machine Learning

Master probability theory fundamentals for ML: random variables, distributions, PMFs, PDFs, and likelihood estimation in under 3 hours.

• YouTube
• 2 hours 33 minutes
• Self-Paced
• Free Video

SciShow

The Quantum Quest for a Perfectly Random d20

Explore the fascinating world of random number generation, from virtual dice to quantum mechanics, and discover why true randomness isn't always what we want.

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

Numberphile

Schur Numbers - The World's Biggest Proof

Discover Schur numbers and explore the mathematical proof that became the world's largest, featuring combinatorial number theory and computational mathematics breakthroughs.

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

3Blue1Brown

Why Laplace Transforms Are So Useful

Discover the power of Laplace transforms through forced harmonic oscillators, exploring poles, derivatives, and practical problem-solving techniques in this visual mathematics lesson.

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

UCLA Automated Reasoning Group

Automated Reasoning - Logic, Probabilistic Reasoning and Machine Learning

Explore Boolean logic, probabilistic reasoning, and machine learning through tractable circuits and knowledge compilation techniques for automated reasoning systems.

• YouTube
• 1 day 1 hour 51 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - New Foundations for Analytic Geometry

Explore revolutionary foundations for analytic geometry through light condensed abelian groups, analytic rings, and stacks with leading mathematicians Clausen and Scholze.

• YouTube
• 1 day 20 hours 4 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Dynamical Systems and Ordinary Differential Equations

Explore advanced mathematical concepts in dynamical systems, differential equations, ergodic theory, and their applications across geometry, number theory, and physics.

• YouTube
• 2 weeks 15 hours 30 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Numerical Analysis and Scientific Computing

Explore advanced computational methods, numerical algorithms, and mathematical modeling techniques for solving complex scientific problems across multiple disciplines.

• YouTube
• 1 week 2 days 23 hours 43 minutes
• Self-Paced
• Free Video

Tobias Osborne

Symplectic Geometry and Classical Mechanics

Explore the mathematical foundations connecting symplectic geometry with classical mechanics through comprehensive lectures covering geometric structures and physical applications.

• YouTube
• 1 day 4 hours 53 minutes
• Self-Paced
• Free Video

Math with Professor V

AP Calculus Unit 4 - Contextual Applications of Differentiation

Master real-world calculus applications including particle motion, related rates, L'Hospital's Rule, and optimization through step-by-step AP exam preparation.

• YouTube
• 7 hours 16 minutes
• Self-Paced
• Free Video