AS/A2 Pure 4 Pure 6

Edexcel allows use of a graphic calculator. In specifications for OCR and WJEC a graphic calculator is allowed too. AQA and NICCEA permit a scientific calculator only.
1. Coordinate Systems 2. Hyperbolic functions	3. Differentiation 4. Integration Summary

1. Coordinate Systems
Cartesian equations	the conic curves
	the circle
	the parabola
	the ellipse
	the hyperbola
	the rectangular hyperbola
Parametric equations	the parabola
	the ellipse
	the hyperbola
	the rectangular hyperbola
Focus-directrix properties	the parabola
	the ellipse 1
	the ellipse 2
	the ellipse 3
	the hyperbola 1
	the hyperbola 2
Tangents and normals	to the parabola
	to the ellipse
	to the hyperbola
	Simple loci problems
	Intrinsic coordinates (s, y ).
	Radius of curvature.
	problem 5.1
2. Hyperbolic functions
	definitions
Graphs and properties	sinh ax
	cosh ax
	tanh ax
	sech ax
	cosech ax
	coth ax
	arcsinh ax
	arcsinh ax and logs
	arccosh ax
	arccosh ax and logs
	arctanh ax
	arctanh ax and logs
3. Differentiation
Hyperbolic functions	sinh x and cosh x
	tanh x
	Differentiation of hyperbolic functions and expressions involving them
Inverse functions	arc sin x and arc cos x
	arc tan x
	arc sinh x and arc cosh x
	arc tanh x
4. Integration
	Integration of hyperbolic functions and expressions involving them.
	Integration of inverse trigonometric and hyperbolic functions
	Integration using hyperbolic and trigonometric substitutions
	Use of substitution for integrals involving quadratic surds.
Simple reduction formulae.	derivation and use
Arc length and the area of a surface of revolution	calculations
Summary
	the formulae

Credits
	=Javamath graphs		=WebEQ equations		=HotEqn equations
	=Cinderella graphs		=JavaScript		=other Java applets
	=PGC graphic calculator		=Hot Potatoes dynamic HTML		=Project Interactive
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