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Further Mathematics (9FM0)

9 sections available

Paper 1 and Paper 2: Core Pure Mathematics

Complex numbers

Further algebra and functions

Further calculus

Further vectors

Polar coordinates

Hyperbolic functions

Differential equations

Paper 3A: Further Pure Mathematics 1

Further Trigonometry

Further calculus

Further differential equations

Coordinate systems

Further vectors

Further numerical methods

Paper 4A: Further Pure Mathematics 2

Further calculus

Further matrix algebra

Further complex numbers

Further sequences and series

Paper 3B: Further Statistics 1

Discrete probability distributions

Poisson & binomial distributions

Geometric and negative binomial distributions

Hypothesis Testing

Central Limit Theorem

Chi Squared Tests

Probability generating functions

Quality of tests

Paper 4B: Further Statistics 2

Linear Regression

Continuous probability distributions

Combinations of random variables

Estimation, confidence intervals and tests using a normal distribution

Other Hypothesis Tests and confidence intervals

Confidence intervals and tests using the t – distribution

Paper 3C: Further Mechanics 1

Momentum and impulse

Work, energy and power

Elastic strings and springs and elastic energy

Elastic collisions in one dimension

Elastic collisions in two dimensions

Paper 4C: Further Mechanics 2

Motion in a circle

Centres of mass of plane figures

Further centres of mass

Further dynamics

Further kinematics

Paper 3D: Decision Mathematics 1

Algorithms and graph theory

Algorithms on graphs

Algorithms on graphs II

Critical path analysis

Linear programming

Paper 4D: Decision Mathematics 2

Transportation problems

Allocation (assignment) problems

Flows in networks

Dynamic programming

Recurrence relations

Decision analysis

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