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Further Mathematics (9665)

7 หมวด

FP1: Pure Maths

Algebra and graphs

Coordinate geometry

Complex numbers

Roots and coefficients of a quadratic equation Content Additional information

FPP1: Pure Maths

Matrices and transformations

Numerical methods

FS1: Statistics

Bayes’ Theorem

Uniform distribution

Geometric distribution

Probability generating functions (pgf)

Linear combinations of discrete random variables

FM1: Further Mechanics

Constant velocity in two dimensions

Dimensional analysis

Collisions in one dimension

FP2: Pure Maths

Roots and polynomials

De Moivre’s Theorem

Polar coordinates

Proof by induction

Series and limits

The calculus of inverse trigonometrical functions Content

Arc length and area of surface of revolution about the x-axis

Hyperbolic functions

Differential equations – first order

Differential equations – second order

Vectors and three-dimensional coordinate geometry

Solution of linear equations

FS2: Statistics

Moment generating functions (mgf)

Further hypothesis testing

FM2: Mechanics

Vertical circular motion

Projectiles launched onto inclined planes

Elastic strings and springs

Collisions in two dimensions

Application of differential equations

Simple harmonic motion

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