What you'll learn :
The Mathematical Beauty that led to Quantum Physics
mathematical tricks
physical insights
history of physics
Basics of Statistical Mechanics
Requirements :
Calculus (especially derivatives, integrals, limits)
Multivariable Calculus
Basics of Fourier Analysis
Description :
This course showcases the beautiful mathematics that, in the late 19th century/ early 20th century, led to the discovery of a revolutionary branch in physics: Quantum Mechanics.
Planck postulated that the energy of oscillators in a black body is quantized. This postulate was introduced by Max Planck in the derivation of his law of black body radiation in 1900. This assumption allowed Planck to derive a formula for the entire spectrum of the radiation emitted by a black body (we will also derive this spectrum in this course). Planck was unable to justify this assumption based on classical physics; he considered quantization as being purely a mathematical trick, rather than (as is now known) a fundamental change in the understanding of the world.
Calculus and Multivariable Calculus are a prerequisite to the course; other important mathematical tools (such as Fourier Series, Parseval’s theorem, binomial coefficients, etc.) will be recalled, with the emphasis being put on mathematical and physical insights rather than abstract rigour.
Who this course is for :
Students with a strong interest in mathematics and its beauty
Students who would like to improve their reasoning and insights in solving physical problems
The Students interested in the historical fascinating origin of Quantum Physics
Students interested in explanations given through the lens of mathematics
Last updated 7/2021
Course Size Details :
2.5 hours on-demand video
Full lifetime access
Access on mobile and TV
Certificate of completion
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