Math Jeopardy

Field Descriptions

100

The study of properties of shapes.

What is Geometry?

200

The abstraction of arithmetic operations using symbols.

What is Algebra?

300

The study and application of functions of complex variables.

What is Complex Analysis?

400

The branch of math studying algebraic structures and their relations.

What is Abstract Algebra?

500

Study of properties of geometric objects that are preserved under continuous transformations

What is Topology?

Integration

100

integrate (6x^2) dx

2x^3 + c

200

Integrate (3x^2 + 4x - 5)dx

x^3 + 2x^2 - 5x + c

300

Integrate (x (x^2+4)^3) dx

(x^2 + 4)^4 /8 + c

400

Integrate x e^(x^2) dx

1/2 e^(x^2) + c

500

Integrate xln(x) dx

x^2 /2 ln(x) - x^2/4 + c

Differentiation

100

d/dx * (4x^3)

12 x^2

200

d/dx * (5x^4 - 3x^2 + 7)

20x^3 - 6x

300

d/dx * [ (x^2 +3)(x^3 - 2) ]

2x (x^3 - 2) + 3x^2 (x^2 + 3)

400

d/dx * [ (x^2 +1) / (x-2) ]

(x^2 - 4x -1) / (x-2)^2

500

d/dx [e^(x^2) sin(x) ]

e^(x^2) [ 2xsin(x) + cos (x) ]

Discrete/ Computer Science

100

Compute 

³2+2³ 

What is 32?

200

Prove ∀ m in the integers, ∃ n in the whole numbers such that n < m². Find a counter example if there is one

False. For m = 0, n can only be 0, and no number less.

300

232 in Binary.

What is 1110 1000?

400

The contrapositive of: If it rains, then the game is cancelled.

If the game is not cancelled, then it did not rain

500

There are 12 marbles in a bag. There is a 33.33% chance to get a green marble, a 58.33% chance to get a red marble. If there are only green, red, and blue marbles, how many blue marbles are there?

What is 1?

Random

100

The first computer bug.

What is a Moth?

200

The base is used in a Sexagesimal system 

What is 60?

300

Define a Perfect Number.

What is "numbers equal the sum of their proper divisors"?

400

The equation called the most beautiful equation in math.

What is e^iπ + 1 = 0?

500

An Egyptian Priest, well traveled, and founder of his own religion.

Who is Pythagoras?