AQA数学大纲国际竞赛alevel

Syllabus summary教学大纲摘要Pure Maths (AS and A-level). Algebra and graphs代数和图. Coordinate geometry坐标几何学. Comp

Syllabus summary教学大纲摘要

Pure Maths (AS and A-level)

. Algebra and graphs代数和图

. Coordinate geometry坐标几何学

. Complex numbers复数

. Roots and coefficients of a quadratic equation一元二次方程的根和系数.

Differentiation微分

. Trigonometry三角学

. Calculus微积分

Pure, Statistics and Mechanics (AS and Alevel).

Matrices and transformations矩阵和变换

. Linear graphs线形图

Numerical methods数值方法

. Bayes' Theorem贝叶斯定理

. Uniform distribution均匀分布

. Geometric distribution几何分布

.2 Probabilitv aeneratina functions

. Linear combinations of discrete random variables离散随机变量的线性组合

. Constant velocity in two dimensions二维恒速度

. Dimensional analysis量纲分析

. Collisions in one dimension一维碰撞

Pure Maths (A-level only)

. Roots and polynomials

. De Moivre's Theorem

. Polar coordinates极坐标

. Proof by induction数学归纳法

. Finite series无穷级数

. Series and limits级数和极限

. The calculus of inverse trigonometrical functions

. 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

Statistics and Mechanics (A-level only). Moment generating functions

. Estimators

. Estimation

. Further hypothesis testing

. Vertical circular motion

Projectiles launched onto inclined planes. Elastic strings and springs

. Collisions in two dimensions

. Application of differential equations. Simple harmonic motion

Resources available with this specification

OxfordAQA provides the resources and advice you need to teach the InternationalAS/ A-level Further Mathematics specification effectively.