HSC Maths Extension I Course Summary (old syllabus)

Author: George Fisher, Publisher: Phoenix

For old syllabus

This title does NOT follow 'Stage 6 Mathematics Extension 1' NSW syllabus introduced in 2017 but can be used for extra practice.

Originally published in 2001, this book was written for the previous 'Preliminary & HSC Mathematics Extension 1' course, also sometimes called '3 Unit'.

Each Phoenix Course Summary provides a comprehensive and thorough summary of all the essential material for each HSC Maths course in a form which makes it simple for students to identify what they have to know for the HSC examination and to help them learn it.

They include:

  • formulas
  • theorems
  • procedures
  • worked examples

In addition, they have:

  • provision for students to add their own notes from other sources - textbook, study guide, teacher
  • useful suggestions to help learn the material
  • practice questions, with answers, for each part of the course 

Course Summary Maths Extension 1 Contents  

Topic 1 Basic arithmetic and algebra (Preliminary) 

Topic 2 Plane geometry (Preliminary) 

Topic 3 Functions and relations (Preliminary) 

Topic 4 Trigonometry (Preliminary) 

Topic 5 Coordinate geometry (Preliminary) 

Topic 6 Introductory calculus (Preliminary) 

Topic 7 The quadratic polynomial and the parabola (Preliminary) 

Topic 8 Geometrical applications of differentiation (HSC) 

Topic 9 Polynomials (Extension 1) (Preliminary) 

Topic 10 Permutations and combinations (Extension 1) (Preliminary) 

Topic 11 Series and sequences (HSC) 

Topic 12 Integration (HSC) 

Topic 13 Logarithmic and exponential functions (HSC) 

Topic 14 The trigonometric functions (HSC) 

Topic 15 Probability (HSC) 

Topic 16 Applications of calculus to the physical world (HSC) 

Topic 17 Inverse functions and inverse trigonometric functions  (Extension 1) (HSC) 

Topic 18 Further polynomials (Extension 1) (HSC) 

Topic 19 The binomial theorem (Extension 1) (HSC) 

Topic 20 Further probability (Extension 1) (HSC) 

Table of derivatives 

Table of integrals 

Revision exercises 

Extension 1 revision exercises 

Answers to revision exercises 

Answers to Extension 1 revision exercises 

More Information
Year Level Year 12
Date of Publication 2001
ISBN 9781876580209
Subject Maths, Mathematics Extension 1