H2 Mathematics Applets
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Introduction

Graphs

Calculus

Sequences & Series

Functions

Permutations & Combinations

Vectors

Complex Numbers

Statistics
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Introduction

Remainder & Factor Theorems


Quadratic Equations

Trigonometric Identities

Partial Fraction



Polynomial Division

Binomial Expansion


Binomial Expansion (worked solution)

Range of Validity






Graphs

Ellipses & Hyperbolas

Rational Functions


Graph of y² = f(x)



Transformation of Graphs


Combination of Transformations

Summary of Transformations

Test Point Method


Solving Inequalities

Inequalities with Modulus Signs


Inequalities by Graphical Method





Calculus

Differentiation


Derivative from First Principle


Stationary Points


Graph of Derivative

Tangents & Normals

Parametric Equations

Maclaurin's Series (Graph)


Maclaurin's Series (for any function)

Integration by Standard Form


Integration by Parts

Area of Rectangles under a Curve



Volume





Sequences

Arithmetic Progression (worked solution)


Arithmetic Progression

Geometric Progression

Series


Sigma Notation

Simplifying Expressions involving Summation


Method of Difference


Mathematical Induction





Functions

Domain & Range of a Function


Composite Function Animation


Composite Function

Graph of Composite & Inverse Functions





Permutations & Combinations

Problems involving Choosing:

Choose People (Pictorial)


Choose People


Choose Boys & Girls

Choose a few Groups
Problems involving Arranging:

Arrange People

Arrange Boys & Girls

Arrange Letters





Vectors
Ratio Theorem


Dot Product



Cross Product

Vector Equation of a Line





Equation of a Line in Cartesian form


Vector Problems involving Points & Lines


Vector Problems involving Points & Planes

Vector Problems involving Lines & Planes





Complex Numbers

Complex Number


Nth Root of a Complex Number


Locus of Complex Numbers

Maximum & Minimum Distances





Statistics
Here are some Microsoft Excel Statistical Simulations:
(Click each link and then press F9 on your keyboard)
1 Die to simulate the tossing of 1 die
2 Dice to simulate the tossing of 2 dice
Balls to simulate the drawing of balls
Coins to simulate the tossing of coins
Suits to simulate the drawing of cards according to suits
Card to simulate the drawing of cards according to suits & values
Binomial to Poisson to show that the Binomial Distribution approaches the Poisson Distribution
Binomial to Normal to show that the Binomial Distribution approaches the Normal Distribution
Poisson to Normal to show that the Poisson Distribution approaches the Normal Distribution
Central Limit: 1, 3 to demonstrate the Central Limit Theorem for a symmetrical Distribution
Central Limit: 1, 1, 1, 3 to demonstrate the Central Limit Theorem for a skewed Distribution

Probability (Card)


Probability (Dice)

Tree Diagram


Binomial, Poisson & Normal Distributions


Approximations to the Binomial & Poisson Distributions

Sums of Random Variables

Sampling


Unbiased Estimates

Z Test


T Test


Linear Regression








"An Applet A Day Brings 'A' Grades Your Way"

Dear Mathematics teachers and students,

These applets can be used for Feel free to
tell me of any

Yee Weng Hong
Hwa Chong Institution
Singapore




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