Math Circles Meeting: May 2nd, 2015

The 6th meeting of the Islander Math Circles, Spring 2015

FacilitatorAubrey Rhoden and Kim Moore

Agenda: Modeling Blood Clots

Let’s Do an Experiment!

Eggsperiment

  • How can we get the egg in the jar?

  • How can we separate the egg yolk from the white ?

  • How are blood clots similar to our experiment?

More Eggsperiments

egg02

Using Heat and Math to Detect Blood Clots

Blood Clots

Quadratic Approximations of Light Absorption

 

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Math Circles Meeting: April 18th, 2015

The 5th meeting of the Islander Math Circles, Spring 2015

FacilitatorAubrey Rhoden and Kim Moore

AgendaStochasticity and Coin Flipping

Let’s Do an Experiment!

Coin Flipping

 A Close Look at the Results

  • What is the largest number of heads you had in a row?

  • What is the largest number of tails you had in a row?

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Exploring Probabilities

Exploring Coin Flipping

  • What is the probability of getting 2 heads in a row?

  • What is the probability of getting 3 heads in a row?

  • What is the probability of getting 4 heads in a row?

  • What is the probability of getting a string of 7 heads or 7 tails if you flip a coin 100 times?

Pascals

Pascal’s Triangle and Coin Flipping

More Patterns in Pascal’s Triangle

Fibonacci n-step Number Sequences

Math Circles Meeting: January 31st, 2015

The 2nd meeting of the Islander Math Circles, Spring 2015

FacilitatorsDr. Aubrey Rhoden, Kim Moore

dracula

AgendaThe Human Vampire Conflict

I.  Do Vampires Exist?

  • Assumption One: Every time a vampire sucks the blood out of a human, that human becomes a vampire.

  • Assumption Two: It takes a vampire exactly one week to suck the blood out of a human.

  • How long would it take for the entire human population to turn into vampires?

  • What is the limit of the human population in this model?

  • What is the limit of the vampire population?

 

II. Mathematics of the Human-Vampire Conflict: a few more considerations…

  • Do humans have any defense against vampires?

  • Can vampires mate?

  • Can vampires be destroyed?

  • Are humans dying of any other causes?

  • Are human babies being born?

  • Do vampire have preferences for certain blood types?

twilight

Math Circles Meeting: January 10th, 2015

The 1st meeting of the Islander Math Circles, Spring 2015

FacilitatorsDr. Aubrey Rhoden

AgendaLarge Numbers

I. How big do numbers get?

 

II. Paper Folding

III. Calculating the Volume of the Universe

IV. Computer Memory Storage