Mathematics

Lecture 18 | MIT 6.832 (Underactuated Robotics), Spring 2018

The syllabus covered by the book and YouTube course

The Wallis product for pi, proved geometrically

Winding numbers and domain coloring

Why is pi here? And why is it squared? A geometric answer to the Basel problem

Lecture 2 | MIT 6.832 (Underactuated Robotics), Spring 2018

But what is the Fourier Transform? A visual introduction.

Why this puzzle is impossible

The hardest problem on the hardest test

Théorème de Bayes

Bayes' Theorem

Hilbert's Curve: Is infinite math useful?

Spring 2016 Lecture 17 Probability 1 default c543378d

Spring 2015 Lecture 23 Linear Algebra default

Spring 2015 Lecture 18 Probability 2

Spring 2015 Lecture 17 Probability 1 default

Spring 2015 Lecture 16 Godel's Incompleteness Theorems default

Spring 2013 Lecture 18 Random Walks default 70d4e4b6

Spring 2013 Lecture 15 Polynomials default ee567245

Great Ideas in Theoretical Computer Science: Number Theory (Spring 2015)

Great Ideas in Theoretical Computer Science: Gödel's Incompleteness Theorems (Spring 2013)

Analysis of Boolean Functions at CMU - Lecture 22: Sanders's Theorem

Analysis of Boolean Functions at CMU - Lecture 21: Additive combinatorics

Analysis of Boolean Functions at CMU - Lecture 20: Majority Is Stablest Theorem

Analysis of Boolean Functions at CMU - Lecture 18: The Hypercontractivity Theorem

Analysis of Boolean Functions at CMU - Lecture 12: Bonami's Lemma and the KKL Theorem

All possible pythagorean triples, visualized

Pi hiding in prime regularities

Taylor series | Chapter 11, Essence of calculus

What does area have to do with slope? | Chapter 9, Essence of calculus

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus

Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus

What's so special about Euler's number e? | Chapter 5, Essence of calculus

Visualizing the chain rule and product rule | Chapter 4, Essence of calculus

Derivative formulas through geometry | Chapter 3, Essence of calculus

The paradox of the derivative | Chapter 2, Essence of calculus

The essence of calculus

Group Theory in Quantum Mechanics (2017 Sp) - Lecture #23

The Bayesian Trap

Group Theory in Quantum Mechanics (2017 Sp) - Lecture #17b