Algebra and Number theory Lecture (2.5 hours), plus 2 hour follow-up class at David Game college in the City of London (close to Aldgate tube, in the City of London)
Saturday 27th January 2018, from 14:00 – 17:00.
plus a follow-up class on Sunday 28th January 2018, from 14.00 – 16.00.
The Lecture will include: the importance of prime numbers in building up the set of Natural numbers, from Euclid’s Unique Prime Factorisation, some Proof by contradiction, including Euclid’s proof of an Infinity of Primes, as well as ‘Square root (2) is irrational’, and what is really making this proof work, and hence how it can be extended to other algebraic irrationals, which also leads to important Number theory techniques that are tested in STEP and a lot at Interview. It will also cover some theory of Polynomials, including a thorough analysis of cubic curves and multiple roots, underlying ‘Function’ theory, including understanding how applying many-to-one functions can affect equations and inequalities, plus related understanding and techniques, that are somewhat hidden but all over STEP mathematics.
The length of the lecture is 2.5 hours, with a 30 minute break, running from 14.00 until 17.00, and the cost is £ 60.
The follow-up class is to cover any questions arising from the lecture, and costs an extra £40 to attend.