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1. Further Pure Mathematics 1

1.1 Roots of polynomial equations

1.2 Rational functions and graphs

1.3 Summation of series

1.4 Matrices

1.5 Polar coordinates

1.6 Vectors

1.7 Proof by induction

2. Further Pure Mathematics 2

2.1 Hyperbolic functions

2.2 Matrices

2.3 Differentiation

2.4 Integration

2.5 Complex numbers

2.6 Differential equations

3. Further Mechanics

3.1 Motion of a projectile

3.2 Equilibrium of a rigid body

3.3 Circular motion

3.4 Hooke's law

3.5 Linear motion under a variable force

3.6 Momentum

4. Further Probability & Statistics

4.1 Continuous random variables

4.2 Inference using normal and t-distributions

4.3 Chi-squared tests

4.4 Non-parametric tests

4.5 Probability generating functions

A-Level CAIE Further Math A2/Notes/1.7 Proof by induction

A-Level CAIE Further Math A2 1.7 Proof by induction Notes

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