Major Mathematicians
Name that Theorem!
Fabulous Factorials
Prepare for P
EXtra EXponentiation
100

This man related sums to integrals. His sums were named after him.

Riemann

100

The 2 general solutions to ax^2+bx+c=0 is given by the...

quadratic formula

100

4!=

24

100
This is the 5-sided Polygon that also begins with P

Pentagon

100

3^3=

27

200

Who was the mathematician that came up with a special calculus rule for finding limits of quotients in an indeterminable form?

L' Hopital

200

This says that a polynomial equation has a root between x=1 and x=2 because f(1)=5 and f(2)=-3

IVT / Intermediate Value Theorem

200

3!!=

720

200

This is the shape of the curve outlined by the Parametric expression (cos(t), sin(t)) through the Parameter t

(unit) circle

200

5^5=

3125

300

He was most well known for his error bound which used the maximum value of the n+1th derivative

Lagrange

300

This states that a polynomial equation of degree n will have n complex roots

Fundamental Theorem of Algebra

300

The Rising Factorial is a special factorial notably used in hypergeometric functions. (x)n = x(x+1)(x+2)...(x+n-1). Now, let f(x) = (x-3)x. Find f(5)

720

300

The Power series 1+x+x^2+x^3+... is known by what name?

(infinite) geometric series/sum

300

7^7=

823,543

400

Who came up with the "most beautiful math equation" which involves e, i, pi, and -1?

Euler

400

This theorem provides an easy method of raising complex numbers to certain powers using trigonometric functions

De Moivre's Theorem

400
(n!)/((n-k)!k!) is always equal to 2 combinatorial expressions. What are they?

nCk and nC(n-k)

400

The Projection of the vector <1,3> onto <5,7> is...

<65/37, 91/37>

400

What is the name of the operation for repeated EXponentiation?

tetration

500

Which mathematician had a cult following and a profound hatred for irrational numbers?

Pythagoras

500

This states that the number of linearly independent columns of a linear transformation added to the dimension of the null space of that linear transformation is equal to the number of columns in the linear transformation.

Rank-Nullity Theorem

500

The factorial of ALMOST ANY real number can be derived from this function beginning with a Greek alphabet letter

Gamma Function

500

Find the 3rd Partial derivative of 5(x^2)cos(sin(y)) with respect to x

0

500

Find the number of positive factors of (1^1)(2^2)(3^3)(4^4)

44

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