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motion experiment using Tracker software to model the motion of a bullet. 5) Fourier Transforms the most important tool in mathematics? 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth 1million to anyone who solves it (not for the faint hearted!) 30) Time travel to the future : Investigate how traveling close to the speed of light allows people to travel forward. 39) Zenos Paradox Achilles and the Tortoise A look at the classic paradox from ancient Greece the philosopher proved a runner could never catch a tortoise no matter how fast he ran.

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6) Logarithmic scales Decibel, Richter, etc. Games and game theory 1) The prisoners dilemma : The use of game theory in psychology and economics. Standard Level students and, higher Level students have their own revision areas. 2) Gravity, orbits and escape velocity Escape velocity is the speed required to break free from a bodys gravitational pull. How to use modeling to predict booms and busts. 37) Modelling a Nuclear War. 4) Tesseract a 4D cube : How we can use maths to imagine higher dimensions. This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. 8 term paper analysis finding prime numbers : The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics.