ESP Biography

HAYDEN JANSEN, MIT Senior studying Mathematics and Education

Major: 18

College/Employer: MIT

Year of Graduation: 2016

Picture of Hayden Jansen

Brief Biographical Sketch:

Not Available.

Past Classes

  (Clicking a class title will bring you to the course's section of the corresponding course catalog)

M9771: The Axiom of Choice in Splash 2015 (Nov. 21 - 22, 2015)
An explanation of what the Axiom of Choice really says and a discussion of its equivalents and implications.

M9778: Understanding Infinity: Ordinals and Cardinals in Splash 2015 (Nov. 21 - 22, 2015)
This course deals with understanding what it means for a set to have infinite size and for two sets to have equal size (or "cardinality"). We prove Cantor's Theorem that the power set $$\mathcal{P}(A)$$ has cardinality strictly larger than $$A$$, examine the comparability of sizes by studying ordinals and cardinals (with an appearance by the Axiom of Choice), the arithmetic of cardinals, and a brief discussion of the Continuum Hypothesis.

M7309: AP Calculus BC in Delve Fall/Spring 2013-14 (Sep. 15, 2013)
This course prepares students to take the AP Calculus BC exam in the spring.

M6559: Introduction to Axiomatic Set Theory in Splash! 2012 (Nov. 17 - 18, 2012)
Set Theory serves as one of the primary foundations of mathematics, with nearly every advanced mathematics discipline requiring at least an adequate knowledge of the subject as a prerequisite. Set Theory serves to provide explanation to some of the most widely assumed things in mathematics: numbers, functions, relations, etc.