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HSC Mathematics Advanced

    Preparation

  1. Foundations

    2. Year 11

  2. Working with Functions

  3. Trigonometric Functions

  4. Introduction to Differentiation

  5. Exponentials and Logarithms

  6. Discrete Probability Distributions

    7. Year 12

  7. Graphing Techniques

  8. Further Derivatives

  9. Modelling Financial Situations

  10. Integral Calculus

  11. Descriptive Statistics and Bivariate Data

  12. Continuous Random Variables

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Discrete Probability Distributions
Probability is naively the study of chance. It provides a rigorous framework that can be used to reason about situations where a number of different possible outcomes can occur.
Introductory Set Theory
 
 
1
Introduction to Set Theory
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2
Set Theory Operations
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Probability and Venn Diagrams
 
 
3
Introduction to Probability
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4
Disjoint Probabilities
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5
Tables and Trees
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6
Overlapping Probabilities
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7
Conditional Probability
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8
Multiplying Probabilities
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9
Independent Probability
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Discrete Probability Distributions
 
 
10
Random Variables
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11
Probability Distributions
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12
Expected Value
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13
Measures of Spread
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