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Core Maths C2 Revision Notes Mr Barton Maths(巴顿先生数学核心数学C2修改笔记)
Core Maths C2 Revision Notes November 2012 Core Maths C2 1 Algebra 3 Polynomials: +, –, ×, ÷. 3 Factorising 3 Long division 3 Remainder theorem 3 Factor theorem 4 Choosing a suitable factor 5 Cubic equations 6 2 Trigonometry 6 Radians 6 Connection between radians and degrees 6 Arc length , area of a sector and area of a segment 6 Trig functions 6 Basic results 6 Exact values for 30o o o , 45 and 60 7 Graphs of trig functions 7 Graphs of y = sin nx, y = sin(–x), y = sin(x + n) etc. 7 Sine Cosine rules and area of triangle 8 Identities 8 Trigonometric equations 9 3 Coordinate Geometry 10 Mid point 10 Circle 10 Centre at the origin 10 General equation 10 Equation of tangent 11 4 Sequences and series 12 Geometric series 12 Finite geometric series 12 Infinite geometric series 12 Proof of the formula for the sum of a geometric series 13 Binomial series for positive integral index 14 Pascal’s triangle 14 Factorials 14 n ⎛ ⎞ Binomial coefficients or n ⎜ ⎟ Cr or 14 ⎜ ⎟ r ⎝ ⎠ 5 Exponentials and logarithms 15 Graphs of exponentials and logarithms 15 Rules of logarithm
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