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HSC Mathematics (Advanced, Extension 1 and Extension 2)

An Open Source Guide to Acing the HSC

This book covers the New South Wales HSC mathematics syllabi for Advanced, Extension 1 and Extension 2 levels. This aims to be a comprehensive guide to the course and heavily encourages contributions to improve its usefulness and keep it current in the face of more syllabus changes.

Advanced

1. Preface
2. Introduction to HSC Mathematics

Preliminary

1. Working with functions
2. Trigonometry and measure of angles
3. Trigonometric functions and identities
4. Logarithmic and exponential functions
5. Introduction to differential calculus
6. Probability and discrete probability distributions

HSC

1. Graphing techniques
2. Trigonometric functions and graphs
3. Further differential calculus
4. Applications of differentiation
5. Integral calculus
6. Descriptive statistics and bivariate data analysis
7. Random variables
8. Series and sequences
9. Financial mathematics

Extension 1

Preliminary

1. Further work with functions
2. Polynomials
3. Inverse trigonometric functions
4. Further trigonometric identities
5. Rates of change
6. Combinatorics

HSC

1. Introduction to proof by induction
2. Introduction to vectors
3. Trigonometric equations
4. Further calculus skills
5. Applications of calculus
6. The binomial distribution