A-Level Further Maths Edexcel (9FM0)

4: Further algebra and functions

#4.1

Roots and coefficients of polynomials

Use relationship between roots and coefficients of a quadratic equation

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Use relationship between roots and coefficients of a cubic equation

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Use relationship between roots and coefficients of a quartic equation

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Expressions relating to roots of a polynomial

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#4.2

Linear transformation of roots of polynomials

Linear transformations of roots of a polynimial

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#4.3

Sums of integers, squares and cubes

Manipulate sigma notation using linearity

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Use formula for sum of first

n

natural numbers

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Use formula for sum of squares of first

n

natural numbers

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Use formula for sum of cubes of first

n

natural numbers

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#4.4

Method of differences for summation of series

Use the method of differences for summation of series

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#4.5

Maclaurin series

Derive Maclaurin series from definition

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#4.6

Maclaurin series for specific functions

Use Maclaurin series expansion for e^x

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Use Maclaurin series expansion for sin x and cos x

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Use Maclaurin series expansion for ln(1+x)

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Use Maclaurin series expansion for arctan x

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3

Matrices

5

Further calculus

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