Core Pure 1

Chapter 1 & 2 - Complex numbers & Argand diagrams

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Chapter 3 - Series

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Chapter 4 - Roots of polynomials

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Chapter 5 - Volumes of revolution

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Chapter 6 - Matrices

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Chapter 7 - Linear transformations

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Chapter 8 - Proof by induction

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Chapter 9 - Vectors

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Core Pure 2

Chapter 1 - Complex numbers

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Chapter 2 - Series

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Chapter 3 - Methods in calculus

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Chapter 4 & 5 - Volumes of revolution & Polar coordinates

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Chapter 6 - Hyperbolic functions

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Chapter 7 & 8 - Differential equations

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Further Mechanics 1

Chapter 1 - Momentum and impulse

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Chapter 2 - Work, energy and power

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Chapter 3 - Elastic strings and springs

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Chapter 4 - Elastic collisions in one dimension

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Chapter 5 - Elastic collisions in two dimension

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Further Mechanics 2

Chapter 1 - Circular motion

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Chapter 2 - Centres of mass of plane figures

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Chapter 3 - Further centres of mass

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Chapter 4 - Kinematics

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Chapter 5 - Dynamics

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Further Statistics 1

Chapter 1 - Discrete random variables

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Chapter 2 & 4 - Poisson distributions & Hypothesis testing

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Chapter 3 & 4 - Geometric and negative binomial distributions & Hypothesis testing

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Chapter 5 - Central limit theorem

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Chapter 6 - Chi-squared tests

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Chapter 7 - Probability generating functions

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Chapter 8 - Quality of tests

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