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Further Mathematics (9FM0)

9個單元

Paper 1 and Paper 2: Core Pure Mathematics

Proof
Complex numbers
Matrices
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
Inequalities

Paper 4A: Further Pure Mathematics 2

Groups
Further calculus
Further matrix algebra
Further complex numbers
Number theory
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
Correlation
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
Game theory
Recurrence relations
Decision analysis

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