Course information

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

This course is the second in a series of four Mathematics Advanced courses and provides consolidation of the key content and skills from specific topics in the HSC Mathematics course. The program covers the second derivative and random variables. Prerequisite skills from the Mathematics Advanced Preliminary course will be reviewed. Study skills and examination techniques will also be emphasised.

Other courses in this series include HSC Mathematics Preparation - Advanced (Part 1) (January) and HSC Mathematics Preparation - Advanced (Part 3) (July). You do not need to attend all three parts in order to benefit.

This course is suitable for students who will be in Year 12 in 2026. An updated HSC syllabus will be introduced in 2026, so the content is not suitable for students who will be in Year 11 in 2026.

Outcomes

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

• apply techniques from calculus to curve sketching and to problems on maxima and minima
• use knowledge of arithmetic and geometric series to solve problems
• find integrals and use integration to calculate areas, and volumes of solids of revolution
• 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.

Content

The following topics from the Mathematics Advanced HSC syllabus will be covered:

• MA-C3 The Second Derivative
• MA-S3 Random Variables

Intended audience

This course is suitable for students who will be in Year 12 in 2026. An updated HSC syllabus will be introduced in 2026, so the content is not suitable for students who will be in Year 11 in 2026.

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.

Materials

You will receive electronic copies of the following:

• 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
• relevant past examination questions from the previous mathematics course, as well as from other educational jurisdictions, with sample answers provided.

Bring your own device

You are required to bring your own device (Windows or Mac) along with a power cord. Please ensure your device is fully charged, as access to power outlets is limited.

Please note that University does not carry any responsibility for your lost, stolen, or damaged devices whilst on the University premises.

Course evaluation

This course will be evaluated through an online student questionnaire, which will be sent via email during class.

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.