Mathematics 9233 Applets www.oocities.org/maths9233

Here are applets for students who used to take GCE 'A' Level Maths 9233 in Catholic Junior College, Singapore.
Right-click here if you want to download the applets to a diskette or your hard disk (Winzip needed).
Last updated in August 2005.
Students taking H2 Mathematics please go to www.oocities.org/h2maths.

'O' Level Revision		Algebra		Trigonometry		Functions & Graphs		Calculus
	Vectors		Complex Numbers		Permutations & Combinations		Statistics

Dear students:
If the applets do not appear, make sure that your browser is Java-enabled or download the Java software from www.java.com.
These applets can be run offline if you do not have internet connection at home.
Errors messages may appear when advertisements do not download properly. Just ignore them.

Revision of some 'O' Level Topics
Polynomial Division Remainder & Factor Theorems	Quadratic Equations

Algebra
Test Point Method Inequalities Inequalities with Modulus Signs	Inequalities by Graphical Method	Arithmetic Progression (worked solution) Arithmetic Progression Geometric Progression
Summation Sigma Notation for any Function	Partial Fraction Mathematical Induction	Binomial Expansion Binomial Expansion (worked solution)

Trigonometry
Sine Rule & Cosine Rule	3D Trigonometry	Trigonometric Functions Trigonometric Graphs
Trigonometric Identities Complementary & Supplementary Angles R Formula	Trigonometric Equations Trigonometric Equations (Graphical)	Small Angles

Functions & Graphs
Domain & Range of a Function	Composite Function Composite Function Animation	Graph of Composite & Inverse Functions
Ellipse	y = kxp/q	Transformation of Graphs 2 or more Transformations Summary of Transformations

Calculus
Derivative	Differentiation	Tangents & Normals Parametric Equations
Stationary Points	Rational Functions Graph of y² = f(x)	Maclaurin's Series Maclaurin's Series (Graphical)
Linear Interpolation	Newton-Raphson Method	Integration by Standard Form Integration by Parts
Volume	Trapezium Rule	Integrating Factor

Vectors
Dot Product Ratio Theorem	Vector Equation of a Line Equation of a Line in Cartesian form	Vector Problems involving Points & Lines

Complex Numbers
Complex Number	Locus	Maximum & Minimum Distances

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

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	Discrete Random Variables Binomial, Poisson & Normal Distributions
Continuous Random Variables	The Normal Distribution Sums of Random Variables	Approximations to the Binomial & Poisson Distributions
Unbiased Estimates	Confidence Interval	Hypothesis Testing

An Applet A Day Keeps Your Troubles Away

Dear Mathematics teachers and students,

These applets can be used for

• lectures (please adjust screen resolution to 800 by 600 pixels for maximum effect),
• classroom teaching (for classrooms with projectors installed),
• self-discovery learning by students (at home or in the school library),
• consultation after lessons (to consolidate concepts),
• revision before tests and examinations.

Feel free to tell me of any

• benefits which you have derived from this applets,
• incompatibilities with your computers,
• errors whether theoretical or computational,
• ideas for improving these applets or developing new ones.

Yee Weng Hong
Catholic Junior College
Singapore

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