C1 Maths

greencat
Mind Map by greencat, updated more than 1 year ago
greencat
Created by greencat over 6 years ago
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AS level maths Mind Map on C1 Maths, created by greencat on 02/16/2014.
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C1 Maths
1 basic algebra
1.1 manipulating algebraic expressions
1.1.1 3(2x-4y)-4(x-5y) = 2x+8y
1.2 equations
1.3 quadratic equations
1.3.1 x^2+7x+12 = (x+3)(x+4)
1.4 solving quadratic equations
1.4.1 x^2+7x+12 = 0 (x+3)(x+4) = 0 x=-3 or -4
1.5 simultaneous equations
2 co-ordinate geometry
2.1 co-ordinates
2.2 plotting sketching and drawing
2.3 the gradient of a line
2.3.1 (change in y)/(change in x) = gradient
2.4 the distance between two points
2.4.1 ((x2-x1)+(y2-y1))^1/2
2.5 mid-points
2.5.1 (sum of x's/2 , sum of y's/2)
2.6 equation of a strait line
2.6.1 y=mx+c
2.7 intersection of two lines
2.7.1 simultaneous equations
2.8 curves
2.9 circles
2.9.1 for centre (k,h) and radius r : (x-k)^2+(x-h)^2 = r^2
2.10 intersection of a line and a circle
2.11 intersection of two curves
3 polynomials
3.1 operations with polynomials
3.2 polynomial curves
3.3 the graphs of quadratic functions
3.4 using transformations to sketch the curves of functions
3.5 binomial expantion
4 uncertainty
4.1 errors and innerqualities
4.2 the algebra of innerqualities
5 indices
5.1 working with square roots
5.2 negative and fractional indices
6 the language of maths
6.1 problem solving
6.2 types of numbers
6.3 writing maths
6.4 the converse of a theorem
6.5 proof
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