H2 Mathematics www.h2maths.site

This site is for students taking GCE 'A' Level H2 Maths. Here is a summary of H2 Maths topics. F Maths students please go to Further Mathematics Page.

Foundation	Sequences & Series	Graphs
Functions	Calculus	Vectors
Complex Numbers	Permutations & Combinations	Statistics

Foundation
Partial Fraction	Cover Up Rule	Quadratic Equation

Sequences and Series
Saving Problem	Binomial Expansion	Savings & Loans Problems Range of Validity

Graphs
Conics	Rational Function	Transformation of Graphs
Modulus and Reciprocal Graph	Test Point Method	Inequality with Modulus

Functions
Domain & Range of a Function	Composite Function	Range of Composite Function

Calculus
Differentiation by First Principles	Differentiation	Tangent and Normal
Parametric Equations	Integration by Standard Form	Splitting the Numerator
Integration By Parts	Area of Rectangles under a Curve	Solid of Revolution
Maclaurin Series	Differential Equation Growth/Decay Model	Differential Equation Rate In - Rate Out

Vectors
Ratio Theorem	Dot and Cross Products	Vector Equation of a Line
Cartesian Form	Vector Problems involving Points & Lines	Plane
Vector Problems involving Points & Planes	Vector Problems involving Lines & Planes

Complex Numbers
Cubic Equation	Argand Diagram	zn Real/Imaginary

Permutations & Combinations
Problems involving Choosing:
Choose People (with images) Choose People (no images)	Choose Boys and Girls	Choose People to form Groups
Problems involving Arranging:
Arrange People	Arrange Boys and Girls	Arrange Around a Circle
Arrange Letters	Code Words

Statistics

Probability (Cards)	Probability (Dice)	Tree Diagram
Discrete Random Variable	Binomial Distribution	Normal Distribution
Sum of Normal Variables	Unbiased Estimates	Hypothesis Testing (Z Test)
Z Test with Conclusion Given	Correlation and Regression

Here are some Microsoft Excel Simulations you can run on your laptop/desktop: (Click each link and 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, 2	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

Android phone users are welcome to download my mobile phone apps from Google Play Store:



These apps can be used for

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

Best wishes for your GCE A Level Examination!


Yee Weng Hong
Singapore

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