Mathematics

Non-Prime Fields || @ CMU || Lecture 10c of CS Theory Toolkit

Primes and Prime Fields || @ CMU || Lecture 10b of CS Theory Toolkit

Expander Graphs (full lecture) || @ CMU || Lecture 16 of CS Theory Toolkit

Binomial distributions | Probabilities of probabilities, part 1

Chernoff, Hoeffding, etc. bounds || @ CMU || Lecture 5c of CS Theory Toolkit

Proof of the Chernoff Bound || @ CMU || Lecture 5b of CS Theory Toolkit

Markov and Chebyshev Inequalities || @ CMU || Lecture 5a of CS Theory Toolkit

Berry--Esseen Theorem || @ CMU || Lecture 4c of CS Theory Toolkit

Gaussian Random Variables || @ CMU || Lecture 4b of CS Theory Toolkit

Central Limit Theorem || @ CMU || Lecture 4a of CS Theory Toolkit

Binomial Coefficients Asymptotics || @ CMU || Lecture 3c of CS Theory Toolkit

Factorial Asymptotics, Stirling's Formula || @ CMU || Lecture 3b of CS Theory Toolkit

Lecture 2 | MIT 6.832 (Underactuated Robotics), Spring 2020 | Nonlinear Dynamics

Birthday Paradox Asymptotics || @ CMU || Lecture 3a of CS Theory Toolkit

Harmonic Numbers Asymptotics || @ CMU || Lecture 2b of CS Theory Toolkit

This equation will change how you see the world (the logistic map)

Street Fighting Mathematics || @ CMU || Lecture 1c of TCS Toolkit

Introduction to statistical tests

Bayes theorem, the geometry of changing beliefs

Chaos: The Science of the Butterfly Effect

Q&A with Grant, windy walk edition

Analyse de survie

Survival Analysis

Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations

Régression linéaire simple

Simple linear regression

Comparaison de plusieurs moyennes : ANOVA

Comparing Several Means: ANOVA

Tests pour comparer deux moyennes

Tests for comparing two means

Principes des tests statistiques

Principles of statistical tests

Le petit p

The little p

The unexpectedly hard windmill question (2011 IMO, P2)

Explicit near-Ramanujan graphs of every degree

Pure Fourier series animation montage

But what is a Fourier series? From heat flow to drawing with circles | DE4

Solving the heat equation | DE3

Lecture 19 | MIT 6.832 (Underactuated Robotics), Spring 2019

But what is a partial differential equation? | DE2

Differential equations, a tourist's guide | DE1

Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra

Fermat, Mersenne, factorisation et nombres parfaits

Fermat, Mersenne, factorization and perfect numbers

But why is a sphere's surface area four times its shadow?

Using topology for discrete problems | The Borsuk-Ulam theorem and stolen necklaces