Further Mathematics (9665)

7 个单元 · 42 个章节

免费 Further Mathematics (9665) 学习笔记，适合 Oxford AQA International AS Level 学生。每个章节都覆盖一个重点主题，并附例题与可延伸到 thinka app 的练习提示。

FP1: Pure Maths

Algebra and graphs
Coordinate geometry
Complex numbers
Roots and coefficients of a quadratic equation Content Additional information
Series
Trigonometry
Calculus

FPP1: Pure Maths

Matrices and transformations
Linear graphs
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
Finite series
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
Matrix algebra
Solution of linear equations

FS2: Statistics

Moment generating functions (mgf)
Estimators
Estimation
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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