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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

1.5 Polar coordinates

1.7 Proof by induction

2. Further Pure Mathematics 2

2.1 Hyperbolic functions

2.2.1—Matrix equations

2.2.2—Determinants and inverses

2.2.3—Eigen terminology

2.2.4—Eigenvalues and eigenvectors

2.2.5—Eigenvalues and eigenvectors

2.2.6—Eigen terminology

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

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 2.2.1—Matrix equations Topic Practice

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