Mathematicians
Calculus
Definitions
Theorems
100

They had a strange reverence for potatoes

Who is Pythagoreus?

100

This is what the value f(x) approaches as x approaches some value.

What is a limit?

100

This is defined as a collection of elements.

What is a set?

100

This theorem states that between two function values, there must be a point such that the derivative at that point equals the slope between the two function values

What is the mean value theorem?

200

This mathematician proved many fundamental results in geometry

Who is Euclid?

200

This is often called the instantaneous rate of change.

What is a derivative

200

This is a set along with an operation that satisfies closure, associativity, an identity, and inverse elements.

What is a group?

200
This theorem describes the relationship between integrals and derivatives.

What is the Fundamental Theorem of Calculus?

300

This mathematician is known for founding the study of graph theory and topology.

Who is Euler?

300

A formal way to prove a function is continuous.

What is a delta epsilon proof?

300

This is a collection of linearly independent vectors than span a vector space.

What is a basis?

300

This theorem characterizes the maximum number of colors needed to color each country on a map such that no two neighboring countries are the same color.

What is the four color theorem?

400

Known for their magnum opus Principia Mathematica

Who is Bertrand Russel?

400

This is how one would integrate a product of functions

What is integration by parts?

400

This is a collection C of subsets of a set X that contains finite intersections and arbitrary unions of elements of C, as well as X and the empty set 

What is a topology?

400

This theorem states that every single variable polynomial has at least 1 complex root.

What is the Fundamental Theorem of Algebra?

500

They proved the incompleteness of all mathematical systems.

Who is Kurt Godel

500

Measures the area beneath a 3 dimensional curve

What is a line integral?

500
This is a topological space such that every point admits a neighborhood isomorphic to R^n

What is a manifold?

500

Implies that there is always a point on a map that is directly above that same point on earth

What is the fixed point theorem?
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