Women in Mathematics

Ada Lovelace

100

The man who created the first prototype of a digital computer

Who is Charles Babbage?

200

The name of the prototype of the digital computer that Lovelace created a program for

What is Analytical Engine?

300

The value of the first Bernoulli number (B₀)

What is 1?

400

The pattern of Bernoulli's numbers can be found with two factors; one by observing that all of the coefficients in the polynomial seemed to always add to one, and the other by using this

What is Pascal's Triangle?

Sophie Germain

100

The branch of mathematics that Germain was most intrigued by

What is number theory?

200

The theorem Germain hoped to prove 

What is Fermat's Last Theorem

300

A Sophie Germain prime

What is p when p and 2p+1 are prime?

400

The conditions for Germain's Theorem which proves case I of Fermat's Last Theorem

What is:

Let p be an odd prime. If there is an auxiliary prime θ satisfying the two conditions:

1. x^p + y^p + z^p = 0 mod θ implies that x = 0 mod θ, or y = 0 mod θ, or z = 0 mod θ, and
2. x^p = p mod θ is impossible for any value of x

Emmy Noether

100

Emmy Noether's Theorem connects these two physics ideas.

What is symmetry and conservation?

200

This states that if a system is transformed, it will still remain the same in some sense

What is Abstract Symmetry?

300

the difference between the kinetic and potential energy of a system (K-V)

What is the Lagrangian?

400

This is the first step we did to the Lagrangian to prove that energy was conserved; we did this step with respect to time.

What is a derivative?