Pearson Edexcel · International A-Level · 纯数学

1 Indices, surds and standard form · ⁨指数、根式与标准形式⁩ 2 Quadratics and inequalities 3 Coordinate geometry and tangents 4 Right triangles and non-right triangles · ⁨直角三角形与非直角三角形⁩ 5 Radians, identities and trigonometric equations 6 Derivatives and stationary points · ⁨导数与驻点⁩ 7 Integrals, area and accumulation · ⁨积分、面积与累积量⁩

1 Deduction, contradiction and induction · ⁨演绎、反证法和归纳法⁩ 2 Quadratics and inequalities 3 Coordinate geometry and tangents 4 Sequences, series and recurrence 5 Binomial expansion and valid approximations 6 Exponentials, logarithms and modelling · ⁨指数函数、对数与建模⁩ 7 Radians, identities and trigonometric equations 8 Derivatives and stationary points · ⁨导数与驻点⁩ 9 Integrals, area and accumulation · ⁨积分、面积与累积量⁩ 10 Root finding and numerical integration · ⁨求根与数值积分。⁩

1 Domains, inverses and composition · ⁨定义域、反函数与复合函数⁩ 2 Radians, identities and trigonometric equations 3 Exponentials, logarithms and modelling · ⁨指数函数、对数与建模⁩ 4 Chain, product, quotient and implicit differentiation · ⁨链式法则、乘积法则、商法则和隐函数求导⁩ 5 Integrals, area and accumulation · ⁨积分、面积与累积量⁩ 6 Fixed-point iteration

1 Deduction, contradiction and induction · ⁨演绎、反证法和归纳法⁩ 2 Equations, identities and rearrangement 3 Binomial expansion and valid approximations 4 Conics, parametric curves and tangent reasoning · ⁨圆锥曲线、参数曲线及切线推理⁩ 5 Chain, product, quotient and implicit differentiation · ⁨链式法则、乘积法则、商法则和隐函数求导⁩ 6 Substitution, parts and partial fractions 7 Differential equations and numerical solutions · ⁨微分方程与数值解法⁩ 8 Spatial vectors, lines and angles

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⁩