Maths Matters www'mathscareers'org'uk

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Maths Matters www.mathscareers.org.uk
James Blowey (University of Durham)
ltJ.F.Blowey_at_durham.ac.ukgt

• Maths affects everything we do in our lives. It
  forms the basis for many other subjects and is
  fascinating in its own right. It also leads on to
  a variety of fulfilling careers
• actuary computer game designer statistical
  consultant systems administrator avalanche
  researcher medical statistician computer game
  developer aerodynamicist meteorologist
  audio software engineer

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Number Theory

• Is 26 the only number one bigger than a square
  number (5225) and one less than a cubed number
  (33 27)? True up to 10 Billion
• There are an infinite number of primes
• 2,3,5,7,11,13 23571113159509
• Pythagorean Triples (3,4,5), (5,12,13),
  (8,15,17), (34,39,80), etc.
• Theorems Facts
• Fermats Theorem There are no obvious solutions
  to xnyn zn (ngt2)
• The McNugget number is 43 (McNuggets come in 6, 9
  20)

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• Countable infinity (or ) is defined to be
  number of integers in the sequence 0,1,2,3
• How many numbers are in the sequences
• 1,2,3,4,
• -3,-2,-1,0,1,2,3?
• How many numbers are rational?
• How many numbers are irrational? More than,
  !
• Write out a list and generate a new number not in
  the list.

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Frieze Patterns other variations

• 1 1 1 1 1 1 1 1 1 1
  1
• 1 2 2 1 3 1 2 2 1 3
  1
• 1 3 1 2 2 1 3 1 2
  2 1
• 1 1 1 1 1 1 1 1
  1 1 1

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• Your choice of problems from http//www.nrich.math
  s.org.uk/public/index.php
• Number theory puzzles
• Frieze pattern handout.