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.
These apps have been optimised for laptop use. Mobile users may prefer to hold their phones in landscape mode.

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


Vector Problems involving 2 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


I have tried creating mobile phone apps. Android phone users are welcome to download from Google Play Store:



These apps can be used for

Best wishes for your GCE A Level Examination!


Yee Weng Hong
Singapore





Further Mathematics Page




Interesting Aspects of Mathematics




Interesting Aspects of Science




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