Centre for Continuing Education

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

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

Prepare for HSC Mathematics the smart way with HSC Mathematics preparation courses at CCE, the University of Sydney.

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). Students do not need to attend all three parts in order to benefit.


Upon completion of this course, students 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 their 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 & 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 students explore and apply mathematical knowledge and skills in a combination of lectures, tutorials and problem-solving sessions. Practice exercises are carefully graded and students receive immediate feedback.


Students 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
  • Small class sizes
  • Free, expert advice
  • Student materials – yours to keep
  • Statement of completion