Centre for Continuing Education

HSC Mathematics Preparation Course - 2 Unit (Part 3) (July)

HSC Mathematics. The smart way to prepare for your HSC.

This is the final course in a series of three Mathematics (2 Unit) courses and provides consolidation of the key content and skills from some demanding topics from the HSC Course. The course covers logarithmic & exponential functions, trigonometric functions and physical applications of calculus, including: rates of change, exponential growth & decay and the motion of a particle in a straight line. Study skills and examination techniques will also be emphasised.

Other courses in this series include HSC Mathematics Preparation – 2 Unit (Part 1) (January) and HSC Mathematics Preparation – 2 Unit (Part 2) (April). You do not need to attend all three parts in order to benefit.


By the end of this course, you should be able to:

  • apply index and logarithmic laws
  • use radians to measure angles and calculate arc lengths, as well as areas of sectors and segments
  • sketch and interpret graphs of trigonometric functions
  • differentiate and integrate functions involving exponentials, logarithms and trigonometric functions
  • identify rates of change as derivatives with respect to time and solve problems involving exponential growth and decay and the motion of a particle in a straight line
  • answer a range of questions based on the topics covered
  • critically evaluate your own and others' solutions to improve the quality of responses in assessment tasks
  • interpret mathematical language of examination questions to better understand the steps required in a quality solution.


The following topics from the Mathematics syllabus will be covered:

  • Logarithmic and exponential functions
  • Trigonometric functions
  • Applications of calculus to the physical world.

Intended audience

Designed for Year 12 students (only) undertaking the Mathematics 2 Unit course (2008 syllabus).

Delivery style

Delivered as a two-day activity-based workshop where we will explore and apply mathematical knowledge and skills in a combination of lectures, tutorials and problem-solving sessions. Practice exercises are carefully graded and you will receive immediate feedback.


You will receive:

  • a course booklet including theory and worked examples, covering all syllabus dot points from the relevant topics
  • solutions to all questions in the course booklet
  • HSC Questions from recent years on the relevant topics, with sample answers provided.


NESA Mathematics 2 Unit Stage 6 Syllabus (2008)
12.1-12.5, 13.1-13.7, 14.1-14.3

Getting Through Your HSC: A Practical Guide

While you progress through this journey and also the conclusion of your schooling life, we know you’ll have a lot on your mind – exams, future study, careers – but remember, while keeping focused on these bigger goals and aspirations, it’s also important not to forget your own health and well-being.

For tips on staying motivated and keeping focused, dealing with anxiety, keeping healthy, relaxation, pre-study exercise and more, read our article Getting Through Your HSC: A Practical Guide.


  • Expert trainers
  • Central locations
  • Free, expert advice
  • Course materials – yours to keep
  • CCE Statement of Completion