S2019 E1 • The most unexpected answer to a counting puzzle

Première diffusion : 13 janvier 2019

S2019 E2 • So why do colliding blocks compute pi?

Solution to the block collision puzzle from last video.

Première diffusion : 20 janvier 2019

S2019 E3 • How colliding blocks act like a beam of light...to compute pi.

The third and final part of the block collision sequence.

Première diffusion : 3 février 2019

S2019 E4 • Cramer's rule, explained geometrically - Essence of linear algebra, chapter 12

This rule seems random to many students, but it has a beautiful reason for being true.

Première diffusion : 16 mars 2019

S2019 E5 • Overview of differential equations - DE1

How do you study what cannot be solved?

Première diffusion : 31 mars 2019

S2019 E6 • But what is a partial differential equation? - DE2

The heat equation, as an introductory PDE. And to continue my unabashed Strogatz fanboyism, I should also mention that his textbook on nonlinear dynamics and chaos was also a meaningful motivator to do this series, as you'll hopefully see with the topics we build to.

Première diffusion : 21 avril 2019

S2019 E7 • Solving the heat equation - DE3

(Sine waves / boundary condition) + linearity + Fourier = Solution

Première diffusion : 16 juin 2019

S2019 E8 • But what is a Fourier series? From heat flow to circle drawings - DE4

Fourier series, from the heat equation to sines to cycles.

Première diffusion : 30 juin 2019

S2019 E9 • Pure Fourier series animations for 12 oddly satisfying minutes

Because why not?

Première diffusion : 2 juillet 2019

S2019 E10 • Understanding e to the i pi in 3.14 minutes - DE5

Euler's formula intuition from relating velocities to positions.

Première diffusion : 7 juillet 2019

S2019 E11 • This problem seems hard, then it doesn't, but it really is

The famous (infamous?) Problem 2 on the 2011 IMO

Première diffusion : 4 août 2019

S2019 E12 • Why do prime numbers make these spirals?

A story of the value in mathematical play.

Première diffusion : 8 octobre 2019