Mathematics in Education and Industry

Warm Up

Warm UpFind all 4 real values of x that satisfy

AEA Session 1: Constructing a beautiful, clear, concise argument: the proper use of notationhow to write mathematics in good styleunderstanding key symbols and using them correctlyexact valuesreasoning, conciseness and clarity

Warm Up

Common symbols with which you should be familiar:implies, means that very useful for linking statements together and can help avoid the tendency to overuse the equals signnot equal to hardly ever used by students but surprisingly usefulidentically equal to so signifies an identity, something which is true for all values, as opposed to an equationapproximately equal tothereforebecausethe SUM of (sigma) eg: equivalent statements for inverse sine, ie: the angle whose sine is

Exact values:

Fill in the table!

sincostan0

Exact values:

Learn these (or know how to quickly derive them)

sincostan0010

1

10

AEA Specimen Paper Q48 MarksThe notation in the printed answer looks daunting it is meant to be! But this question relies only on standard co-ordinate geometry techniques.

AEA June 2004 Q22 Marks2 MarksThis question makes use of the sigma notation and requires a fairly standard application of the binomial theorem

AEA June 2007 Q3(a) Solve, for 0 x < 2, (b) Find the exact value of x, x 0, for which 5 Marks6 MarksThis question uses the arc notation, meaning inverse cos or the angle whose cosine is .. (alternative symbol cos -1 x); you should aim to answer the first part as concisely as possible whilst still maintaining clarity and reason. The second part is a bit more of a challenge

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