Pearson Edexcel · International A-Level · 进阶数学

1 Complex arithmetic and quadratic roots 2 Parabolas and rectangular hyperbolas 3 Matrix operations, inverses and plane transformations 4 Bisection and Newton root finding · ⁨二分法与牛顿迭代法求根⁩ 5 Finite sums and induction 6 Deduction, contradiction and induction · ⁨演绎、反证法和归纳法⁩

1 Quadratics and inequalities 2 Series, finite differences and Taylor expansions · ⁨级数、有限差分与泰勒展开⁩ 3 Complex numbers and roots · ⁨复数与根⁩ 4 Differential equations and numerical solutions · ⁨微分方程与数值解法⁩ 5 Second-order linear differential equations · ⁨二阶线性微分方程⁩ 6 Polar curves and area · ⁨极坐标曲线与面积⁩

1 Hyperbolic functions and inverse relations · ⁨双曲函数及其反关系⁩ 2 Conics, parametric curves and tangent reasoning · ⁨圆锥曲线、参数曲线及切线推理⁩ 3 Chain, product, quotient and implicit differentiation · ⁨链式法则、乘积法则、商法则和隐函数求导⁩ 4 Substitution, parts and partial fractions 5 Spatial vectors, lines and angles 6 Matrix transformations, inverses and eigenvalues · ⁨矩阵变换、逆矩阵及特征值⁩

1 Kinematics and Newton's laws 2 Vectors and transformation geometry · ⁨向量与变换几何⁩ 3 Moments, equilibrium and centres of mass · ⁨力矩、平衡与重心⁩ 4 Inclined planes, friction and connected particles · ⁨斜面、摩擦力和连接体问题⁩

1 Kinematics and Newton's laws 2 Moments, equilibrium and centres of mass · ⁨力矩、平衡与重心⁩ 3 Work, energy, power and collisions 4 Projectile motion and variable acceleration · ⁨抛体运动与变加速⁩

1 Elasticity, circular motion and variable dynamics · ⁨弹性、圆周运动与变动力学⁩ 2 Differential equations and numerical solutions · ⁨微分方程与数值解法⁩ 3 Moments, equilibrium and centres of mass · ⁨力矩、平衡与重心⁩

1 Data summaries, histograms and interpretation 2 Probability, trees and conditional reasoning 3 Regression, financial models and residuals · ⁨回归、财务模型与残差⁩ 4 Binomial, normal and Poisson models · ⁨二项分布、正态分布与泊松分布模型⁩

1 Binomial, normal and Poisson models · ⁨二项分布、正态分布与泊松分布模型⁩ 2 Sampling and a large data set · ⁨抽样与大规模数据集⁩ 3 Hypothesis testing and contextual conclusions 4 Continuous distributions and density functions

1 Confidence intervals, chi-square and regression 2 Sampling and a large data set · ⁨抽样与大规模数据集⁩ 3 Regression, financial models and residuals · ⁨回归、财务模型与残差⁩

1 Algorithms, networks and linear programming · ⁨算法、网络与线性规划⁩ 2 Critical paths and scheduling · ⁨关键路径与调度⁩ 3 Sorting, packing and network algorithms