Year 12 Maths

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UK A-Level / Sixth Form Pure Maths for Year 12 — polynomials, sequences & series, binomial expansion, radians, logarithms and an introduction to differentiation.

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Algebra & Polynomials
Fractional & negative indices Algebraic division The factor theorem Simultaneous equations (linear & quadratic) The discriminant Equation of a straight line Equation of a circle
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Sequences & Series
Arithmetic sequences — nth term Arithmetic series — sum Geometric sequences — nth term Geometric series — sum Geometric series — sum to infinity
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Binomial Expansion
Finding a coefficient Finding a specific term
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Trigonometry (Radians)
Degrees to radians Radians to degrees Trig identities (sin²+cos²=1) Arc length (radians) Area of a sector (radians) Solving trig equations
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Exponentials & Logarithms
Laws of logs — combining Laws of logs — subtracting Solving exponential equations Solving logarithmic equations Exponential growth & decay
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Differentiation
The power rule Finding a gradient Finding stationary points Maximum or minimum?