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3) Probabilistic number theory 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers.

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Standard Level students and Higher Level students have their own revision areas. Code Breaking You may also enjoy taking part in our school’s code breaking website.

There are 8 levels of coding difficulty – with each code giving you a password to access the next clue.

The 2 hardest levels – Level 6 and Level 7 are particularly tough – are you good enough to crack them?

Algebra and number 1) Modular arithmetic – This technique is used throughout Number Theory.

26) Fermat’s little theorem: If p is a prime number then a^p – a is a multiple of p.

27) Prime number sieves 28) Recurrence expressions for phi (golden ratio): Phi appears with remarkable consistency in nature and appears to shape our understanding of beauty and symmetry.

Radiocarbon dating is one such type of radiometric dating.

This is the British International School Phuket’s IB maths exploration (IA) page.

I have supplemented these with some more possible areas for investigation.

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