图, 公式表和重要总结
(考试局官方)数学纯数公式表
(考试局官方)进阶纯数公式表
Hyberbolic functions 双曲函数
definitions of the hyperbolic functions
sketch the graphs of hyperbolic functions
prove and use identities involving hyperbolic functions
inverse hyperbolic functions
differentiate hyperbolic functions and their inverse functions
Hyberbolic functions Exercise 1
Matrices 矩阵
Matrix本章内容总结
Systems of Equations, Geometric explanation
Characteristic equation; Eigenvalue, Eigenvector; Diagonalization
Differentiation 微分
隐函数和参数方程的二次导数
导出的使用函数的Maclaurin序列的前几项
Integration 积分
双曲函数和三角函数积分
导出和使用归约公式reduction formulae来计算定积分
评估曲线下的面积
求弧长和旋转表面积
Integration Exercises
Complex numbers 复数
理解和证明de Moivre’s theorem
使用de Moivre’s theorem
Differential equations 微分方程
FIRST ORDER linear differential equation
Second order differential equations: Complementary function, Particular integral
用换元法接微分方程
Differential equation exercises
