Based on a guest lecture at Instituto Superior Técnico (University of Lisbon), I use calculus and abstract algebra to derive the Fourier Tranform using the Fourier Series.
Sara Martins Bonito
Lecture 15 (Randomized Algorithms)
Introduction to Quantum Mechanics
A basic introduction to the world of Quantum Mechanics, as written by middle school students. Requires basic knowledge of math, but no calculus or differential equations. 33 pgs.