Further Mathematics www.h2maths.site/FMaths.html

This page is for students taking GCE 'A' Level Further Mathematics. Click to download a summary of F Maths topics. These apps have been optimised for laptop use. Mobile users may prefer to hold their phones in landscape mode.

Recurrence Relations

Numerical Methods

Functions of Two Variables

Calculus

Matrices & Vector Spaces

Differential Equations

Complex Numbers

Statistics

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Recurrence Relations 递归关系
Recurrence Relation

Numerical Methods 数值方法
Linear Interpolation	Newton-Raphson Method	Fixed Point Iteration
Trapezium Rule	Simpson's Rule

Functions of Two Variables 二元函数
Surface Graph	Partial Derivative	Directional Derivative
Tangent Plane	Quadratic Approximation	Critical Points

Calculus 微积分
Polar Curves	Rose	Cardioid
Shell Method	Arc Length & Surface Area

Matrices and Vector Spaces 矩阵与向量空间
Inverse of a Matrix	Row Reduction	Rank Nullity Theorem
Eigenvectors	Eigenvalues	Invertible Matrix Theorem Vector Space Proofs

Differential Equations 微分方程
2nd Order Differential Equations	Euler's Method	Improved Euler's Method
Exponential and Logistic Growth Models	Differential Equations Annexes

Complex Numbers 复数
Loci of Complex Numbers	Max/Min Distances & Arguments	Nth Root of a Complex Number

Statistics 统计学
Poisson Distribution	Geometric Distribution	Continuous Random Variables
Exponential Distribution	Confidence Interval	1-Sample t Test 2-Sample Z Test Paired Sample t Test
χ2 Goodness of Fit Test χ2 Test of Independence	Sign Test	Wilcoxon Signed-Rank Test

These apps can be used for

• lecture demonstration,
• group work in class,
• independent learning by students,
• consultation after lessons,
• revision before examinations.

Good luck to your Further Mathematics Examination!



Yee Weng Hong
Singapore

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