H2 Mathematics Applets
www.h2maths.webs.com
These applets are for students taking GCE 'A' Level H2 Maths.
Click here if you wish to download the whole website (Install Winzip if necessary). Then you can run it offline.
Right-click here to download a summary of all H2 Maths topics.
Further Maths students please go to the Further Mathematics Page
Last updated in Aug 2018.

Introduction

Sequences & Series

Graphs

Functions

Calculus

Vectors

Complex Numbers

Permutations & Combinations

Statistics
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Archive of Comments



Introduction


Quadratic Equations


Remainder & Factor Theorems


Trigonometric Identities


Partial Fraction


Cover Up Rule



Polynomial Division


Sequences and Series


Arithmetic Progression (worked solution)


Arithmetic Progression

Geometric Progression


Series


Sigma Notation


Simplifying Expressions involving Summation


Method of Differences


Binomial Expansion


Binomial Expansion (worked solution)

Range of Validity


Graphs


Conics


Rational Functions


Graphs of y = | f(x) |, f( | x | ), 1 / f(x)


Transformation of Graphs


Composition of Transformations

Summary of Transformations

Solving Inequalities

Test Point Method


Inequalities with Modulus Signs

Inequalities by Graphical Method


Functions


Domain & Range of a Function


Composite Function Animation


Composite Function


Graph of Composite & Inverse Functions


Calculus


Differentiation


Derivative from First Principle


Stationary Points


Graph of Derivative



Tangents & Normals


Parametric Equations

Integration by Standard Form


Splitting the Numerator


Integration by Parts

Area of Rectangles under a Curve

Solids of Revolution

Maclaurin Series (common functions)


Maclaurin Series (for any function)

Differential Equation (Growth Model)


Differential Equation (Rate In - Rate Out)


Vectors


Ratio Theorem


Dot Product

Cross Product




Vector Equation of a Line


Equation of a Line in Cartesian form


Plane

Vector Problems involving Points & Lines

Vector Problems involving Points & Planes

Vector Problems involving Lines & Planes


Complex Numbers


Modulus & Argument


Argand Diagram


Permutations & Combinations

Problems involving Choosing:



Choose People (Pictorial)


Choose People


Choose Boys & Girls

Choose to form Groups

Problems involving Arranging:



Arrange People

Arrange Boys & Girls

Arrange Around a Circular Table

Arrange Letters




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
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


Discrete Random Variables


Variance


Binomial & Normal Distributions


Normal Distribution


Sums, Multiples and Means of Normal Variables


Unbiased Estimates

Z Test


Z Test (Conclusion given)

Linear Regression


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Dear Mathematics teachers and students,

These applets can be used for Feel free to comment on any


Yee Weng Hong
Singapore



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Further Mathematics Page

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Interesting Aspects of Mathematics



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