H2 Math Summary Notes

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Pure Mathematics
Unit 1 Inequalities
Basics of Test Point Method
Unit 2 Graphing Techniques
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Worked Example 7
Unit 3 Transformation of Graphs
Worked Example 1 (i)
Worked Example 1 (ii)
Unit 4 Functions
Conceptual Video
How to Use GC to Plot an Inverse Graph
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Unit 5 APGP & Recurrence Relations
Conceptual Video
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Unit 6 Sigma Notation
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Unit 7 Techniques of Differentiation
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Unit 8 Applications of Differentiation
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Unit 9 Maclaurin Series
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Unit 10 Techniques of Integration
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Unit 11 Applications of Integration
Conceptual Video
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Unit 12 Differential Equations
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Unit 13 Vectors
Conceptual Video
Unit 13.1 Worked Example 1
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Unit 13.2 Worked Example 1
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Unit 13.2 Worked Example 3
Unit 13.2 Worked Example 4
Unit 13.2 Worked Example 5
Unit 14 Complex Numbers
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Statistics
Unit 15 Permutation and Combinations
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Unit 16 Probability
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Unit 17 Discrete Random Variable
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Unit 18 Binomial Distribution
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Unit 19 Normal Distribution
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Unit 20 Sampling and Estimation
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Unit 21 Hypothesis Testing
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Unit 22 Correlation and Linear Regression
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Worked Example 7

H2 Math Summary Notes Unit 15 Permutation and Combinations Worked Example 7

At a table, 5 boys and 4 girls are to be seated on a round table. How many ways can this be done if

(i)

there is no restrictions,

(ii)

there is no restrictions and the seats are numbered,

(iii)

4 girls must sit together,

(iv)

3 particular boys cannot sit together?

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