Welcome to Princeton Splash, a student-run organization at Princeton University

# ESP Biography

## CHRISTOPHER ZHANG, ESP Teacher

Major: Mathematics

College/Employer: Princeton

Year of Graduation: 2018

Not Available.

## Past Classes

(Look at the class archive for more.)

Law of Large Numbers and the Central Limit Theorem in Splash Spring 2017
We cover basic probability and then the two most important topics in probability and statistics.

A Handwaving Introduction to Algebraic Topology in Splash Spring 2017
Rigorous math is good, but it takes a lot of time. Non-rigorous math is also good. Without rigor, we can learn a lot of cool math without being bogged down by the technicalities. We'll talk about stuff like coffee cups and donuts, Klein bottles, fundamental groups, and projective space.

Basics of Probability in Splash Spring 16
Topics in probability to be decided. Topics may include: Kolmogorov's axioms, central limit theorem, Markov chains.

Quotient Maps i.e. Mathematical Glue in Splash Spring 15
The torus is constructed by taking a rectangle in the plane and "gluing" two parallel sides and then the other two parallel sides. Quotient maps is the rigorous way to do this. Other things that can be constructed by quotient maps include projective spaces, the Klein bottle, and other fun things.

Infinite Sums in Splash Spring 15
Proves some of the properties of infinite sums and Taylor series in calculus.