Mathematics Courses and Certifications

The Dilogarithm

Explore the dilogarithm function, its properties, and interesting sum identities in this mathematical deep dive.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Deeper Dives into Mathematics

Explore intriguing mathematical concepts through in-depth videos covering symmetry, complex numbers, geometry, number theory, and more. Gain fresh perspectives on classic problems and discover surprising connections.

• YouTube
• 12 hours
• On-Demand
• Free Video

Quadratics

Comprehensive video series on quadratic equations, covering standard curriculum topics in a relaxed, informal setting. Complementary materials available on the website for practice and solutions.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video

Exploding Dots

Explore innovative math concepts through interactive videos, part of a global project engaging millions. Dive into unique experiences that revolutionize understanding of fundamental mathematical operations.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

patrickJMT

Rationalize the Denominator

Learn to simplify complex fractions by removing radicals from the denominator through step-by-step examples and challenging practice problems.

• YouTube
• 30 minutes
• On-Demand
• Free Video

patrickJMT

Integrals - Antiderivatives

Comprehensive exploration of integration techniques and applications, covering definite integrals, advanced methods, and practical uses in calculating areas, volumes, and arc lengths.

• YouTube
• 9 hours
• On-Demand
• Free Video

patrickJMT

Derivatives

Comprehensive exploration of derivative concepts, from basic rules to advanced applications in calculus, including product, quotient, and chain rules, implicit differentiation, and various function types.

• YouTube
• 8 hours
• On-Demand
• Free Video

patrickJMT

Markov Chain

Comprehensive exploration of Markov chains, covering transition diagrams, steady states, regular and absorbing chains, with applied problems and limiting matrices.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Professor Dave Explains

Advanced Math

Explore advanced mathematical concepts beyond calculus and linear algebra, including differential equations, vector fields, and complex theorems for a deeper understanding.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Steve Brunton

Fourier Analysis

Comprehensive exploration of Fourier analysis, covering series, transforms, and applications. Includes practical implementations in MATLAB and Python for signal processing, PDEs, and image compression.

• YouTube
• 8 hours
• On-Demand
• Free Video

Steve Brunton

Koopman Analysis

Explore advanced techniques in dynamical systems analysis, including Koopman theory, spectral analysis, and applications to control and chaos in various scientific domains.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Steve Brunton

Dynamical Systems

Explore advanced techniques in dynamical systems analysis, including SINDy, Koopman theory, and deep learning applications for modeling complex nonlinear systems.

• YouTube
• 6 hours
• On-Demand
• Free Video

Paul G. Allen School

Convex Optimization IV - Sebastien Bubeck, Microsoft Research

Explore advanced concepts in convex optimization, including gradient flow, comparison techniques, and optimal algorithms with Sebastien Bubeck from Microsoft Research.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Yacine Mahdid

How to Read Math as a Software Engineer

Learn to interpret mathematical formulas as a software engineer, reducing anxiety and enhancing coding skills through practical examples and step-by-step guidance.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Simons Institute

An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture

Explore the KLS Conjecture's isoperimetric coefficient, its implications for MC sampling, and recent breakthroughs in establishing a near-constant lower bound.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video