Balderdash

• A game of trivia (knowledge) and bluffing (creativity)

• teams.• Each round has a word or phrase:– Guess the definition of the word or phrase.– Collect the definitions and mix in the correct

definition.– Read all the definitions, guess the correct one.

Points

• Construct the correct definition – 3 points• Choose the correct definition – 2 points• Somebody chooses your definition – 1 point each

ExamplePrime Number

ExampleGroup 1: A number that is greater than 0 but less than 17.Group 2: A number that ends with the digit “1”.Group 3: A number that has exactly two factors. Group 4: A number satisfying .

ExampleGroup 1: A number that is greater than 0 but less than 17.Group 2: A number that ends with the digit “1”.Group 3: A number that has exactly two factors. Group 4: A number satisfying .

3 points for each of groups 3 and 4!

Group C: A number divisible by only itself and 1.

ExampleA number that ends with the digit “1”.

Group ?:Group ?:Group ?: A number divisible by only itself and 1.

A number that is greater than 0 but less than 17.

ExampleA number that ends with the digit “1”.

Group C:Group 1:Group 2:

A number divisible by only itself and 1.A number that is greater than 0 but less than 17.

1 32

4

2 points for each of groups 1, 2, and 3

1 point for group 2

Parity

Parity

• If two integers are both even or both odd, they are said to have the same parity.

• 26 and 18 have the same parity.• 3 and 1349837 have the same parity.• 3 and 26 have a different parity.

Abundant Number

Abundant Number

• An integer which is less than the sum of all its proper divisors.

• 12 is abundant: • 14 is not abundant: • 6 is not abundant:

Scalene Triangle

Scalene Triangle

• A triangle whose side lengths are all different.

Zero Divisor

Zero Divisor

• A nonzero object which can be multiplied by another nonzero object with zero resulting.

• In both 2 and 3 are zero divisors:

• Hyperbolic Paraboloid• This is the classic “saddle point” shape.

Perpetuity

Perpetuity

• An annuity that continues forever such as:– $100 every week forever (not just the rest of your

life, but rather until the end of time)• The British government once offered these (do

they still?).• Due to the time value of money, the present

value is still finite.

Inversor

Inversor

• A mechanical device which simultaneously traces out a curve and its inverse.

Jerk

Jerk

• The third derivative of position with respect to time.

• when give position.

Jounce

Jounce

• The fourth derivative of position with respect to time.

• when give position.

• Logistic function• Two horizontal asymptotes• Come from differential equations• Ex: with • Used to model many things, in particular

something that is capable of spreading quickly but has a limiting factor: diseases, population, etc.

,

,

• The gamma function.• Generalizes the factorial function.– (Well, it’s off by one, but close enough)

(It really is quite an important function; to compare it to a factorial is like comparing a Corvette to a bicycle)

Module

Module

• An abelian group which can be acted upon by a ring in a fully distributive and associative manner.

Triangular System

Triangular System

• A system of linear equations in which each equation has a different leading variable.

𝑂 (𝑛)

𝑂 (𝑛)• A complexity class containing functions whose

asymptotic growth rate is at most linear.

Oil and Vingear

Oil and Vingear

• A method of using a quadratic polynomials with no cross terms.

• Alice and separate the functions, but can Oscar?

ℤ /6ℤ

• The group of integers modulo 6.• with addition appropriately defined.

The End

Reference Information• Created in 2013 by Dr. Jeffrey Beyerl for use in the

math club at the University of Central Arkansas• This is just a vanilla PowerPoint, but of course like

anything you download from the internet: use at your own risk.

• I started with the version on the MAA website for math clubs and expanded it.