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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

1.3.1—Standard series sums

1.3.2—Method of differences

1.3.3—Series convergence

1.5 Polar coordinates

1.7 Proof by induction

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 AS 1.3.3—Series convergence Topic Practice

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