The mathematics used in the discovery of quantum physics, the foundations of thermodynamics, phase transitions.

What you'll learn
Planck's mathematical trick which led to the discovery of quantum physics
rigorous definition of entropy
history of the physics of the 1900's
Basics of Statistical Mechanics
Einstein's papers on thermodynamics
Brownian motion
Lioville theorem
Ideal gas law
photoelectric effect
canonical transformations
Hamilton equations
Black body problem
Phase transitions

Requirements
Calculus (especially derivatives, integrals, limits)
Multivariable Calculus
Basics of Fourier Analysis
For the second part of the course: Lagrange equations, phase space variables (position and momentum)

https://www.udemy.com/course/the-mathematical-beauty-that-led-to-quantum-physics/