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Further Pure

Page history last edited by Steven Cooper 11 years, 1 month ago

Further Pure Notes

Further Pure Module 1
Algebra Proof by induction The sigma notation.pdf The difference Method
Calculus Differentiation by first principles formula Logarithmic Differentiation
Complex Numbers Complex Numbers introduction.pdf Multiplication of complex numbers.pdf Modulus & Argument of a complex number.pdf The Modulus argument form.pdf Multiplication of two complex numbers.pdf Loci in the Argand diagram.pdf Further Locus Problems.pdf Transformations involving complex numbers.pdf
Matrices Matrices introduction.pdf The meaning of A to the power of n.pdf 3x 3 Matrices and their inverses.pdf Transformations by matrices introduction.pdf Transformations & Invariancy.pdf Transformations not about the origin.pdf Solving simultaneous equations by matrices.pdf Reduction to Echelon Form.pdf

Further Pure 2
Geometry	1	Parabola
	2	Parabola
	3	Ellipse
	4	Ellipse
	5	Hyperbola
	6	Hyperbola

Trigonometry	1	Factorisation
	2	t - formula
	3	general solution

Calculus		General
		substitution
		partial fract
		c3/c4 general

Algebra	1	Partial fractions
	2	Rational functions
	3	Odd/Even functions
	4	Increase/decrease
	5	continuity
	6	Curve sketching

Further Pure3
1	Hyperbolic Functions
2	Calculus for Hyperbolic Functions
3	Integration add on
4	Arc length
5	Surface Area of rev
6	Parametrics for 3/4
7	Reduction formula
8	Power series
9	Taylor's series
10	Infinite series
11	Newton Raphson
12	Polar coordinates
13	Polar curve tracing

M3-DIFFERENTIAL-EQUATIONS

Loughborough: Mechanics revision

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Thomas Whitham Sixth Form

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