The encyclopedia of NSW Mathematics
- Standard 1 & 2, Advanced, Extension 1 and Extension 2 -
- 2017 and 2024 syllabuses -
Latest news
August 6 2026: The latest Extension 1 Mathematics In Depth online PD course has just been published, covering Proof by mathematical induction and Inverse trigonometric functions. This is the first of the Year 12 courses.
I am currently working on the next Standard PD course, covering Algebraic relationships for both Standard syllabuses, and am also working on the Complex numbers chapter of my Extension 2 textbook. This chapter is on track to be released mid-term 3, with the PD course to follow soon after.
New PD courses are released at a rate of approximately one per fortnight.
2024 Syllabus resources
HSC Mathematics Extension 2 (2024) textbook (FREE)
The 2024 version of the textbook will be much larger than the 2017 version, as I am combining the 1000 Revision Questions into the textbook, rather than having two separate documents.
The current download (below) starts with Chapter 4 Further integration, at over 230 pages just for one chapter, including fully worked solutions. I started with Further integration as this is the chapter that includes the most new content. The other chapters will be produced in the order 1, 2, 3 then 5.
The chapters will be:
- Chapter 1 Introduction to complex numbers (UNDER CONSTRUCTION)
- Chapter 2 The nature of proof
- Chapter 3 Further work with vectors
- Chapter 4 Further integration (COMPLETE)
- Chapter 5 Applications of calculus to mechanics
I have started working on Chapter 1, which should be ready mid-to-late Term 3. I will then work on Chapter 2, which should be ready by early Term 4 at the latest, before HSC marking kicks in.
Use the big red button below to download the current chapters and solutions available, for FREE.
Mathematics in Depth online professional development courses for the 2024 syllabuses (PAID)
The following online courses have been updated for the 2024 syllabus – the list will be updated as I complete each new course.
For a summary of the changes to all of the syllabuses, see the course ‘2024 Stage 6 Mathematics Syllabuses in detail’.
Use the big yellow button below for a direct link to all the courses at stevehoward.tta.edu.au.
The Standard courses available are:
Standard Course 1 – Year 11
Formulas and equations
Linear relationshipsStandard Course 2 – Year 11
Earning money
Managing moneyStandard Course 3 – Year 11
Applications of measurement
Time and locationStandard Course 4 – Year 11
Networks, paths and treesStandard Course 5 – Year 11
Data analysis
The Advanced courses available are:
Advanced Course 1 – Year 11
Working with functions (Part A)Advanced Course 2 – Year 11
Working with functions (Part B)Advanced Course 3 – Year 11
Trigonometry and measure of angles
Trigonometric identities and equationsAdvanced Course 4 – Year 11
Introduction to differentiationAdvanced Course 5 – Year 11
Exponential and logarithmic functions
Graph transformationsAdvanced Course 6 – Year 11
Probability and data
The Extension 1 courses available are:
Extension 1 Course 1 – Year 11
Permutations and combinations
The binomial theoremExtension 1 Course 2 – Year 11
Polynomials
Further work with functionsExtension 1 Course 3 – Year 11
Further trigonometry- Extension 1 Course 4 – Year 12
Proof by mathematical induction
Inverse trigonometric functions
TTA Trial HSCs and year 11 FInal Examinations (PAID)
The Year 12 Trial HSCs and Year 11 Final Examinations are now available from TTA at stevehoward.tta.edu.au.
Use the big green button below to go straight to the correct page of the website.
2017 Syllabus resources
Extension 2 textbook and 1000 Revision Questions (2017) (FREE)
Here is the full version of the Extension 2 textbook for the 2017 syllabus for the 2017 syllabus, plus the 1000 Revison Questions, for FREE.
These resources are only suitable if you are sitting the HSC in 2026.
They will be replaced by the updated version of the textbook, available at the top of the page.
Mathematics Extension 2 – Student Course (2017) (PAID)
Here is the link to the online course for students covering the entire Extension 2 course for the 2017 syllabus, including over 950 videos, including recorded solution to every question in my textbook.
Mathematics in Depth Professional Development online courses for the 2017 syllabuses (PAID)
All of the online courses for the 2017 syllabus will be available online until after the 2026 HSC and once the replacement course for the 2024 syllabus has been published. There are over 3100 recorded examples and over 7100 pages of handouts – a true encyclopedia of knowledge at your fingertips! Use the big yellow button below for a direct link to all the courses at stevehoward.tta.edu.au.
EXTENSION 2 TEXTBOOK AT NO COST TO YOU
See below for more information.
About The Mathematician, Teacher & Author
My name is Steve Howard. I am a Mathematics Teacher who taught at Cowra High School, a medium sized rural high school in Central West NSW, for 30 years, and also taught gifted and talented students online through xsel and Aurora College. I now work from home, mainly creating Mathematics resources available through TTA, but also teaching extension online through Mount View High School in the Hunter, and marking the Extension 2 HSC. This website is a portal that brings together my free and commercial Mathematics resources for students and teachers. Here you will find my passion project - my own Mathematics Extension 2 textbook and 1000 Revision Questions for Extension 2 - that are available here for free. You can also look at information about and links to the commercial online PD courses that I make for teachers through TTA, the TTA Maths Exams and the Extension 2 course for students. Get a free download of the textbook and revision book using the links above, and subscribe to the email list to keep up to date with new resources - free or commercial.
1000 EXTENSION 2 REVISION QUESTIONS AT NO COST TO YOU
TTA ONLINE PD
Extension 2 Textbook and Revision Questions
The Extension 2 textbook and matching ‘1000 Revision Questions’ will be continually changed and updated over time so that it better matches the HSC while the other textbooks stay the same.
The textbook has over 1000 questions and at 582 pages is about 50% bigger than the commercial textbooks. The two digital books work best together, but you can just use one or the other.
This textbook is mainly a passion project, but indirectly earns me a bit of pocket money through school copyright licensing and increasing traffic to my commercial online professional development courses for teachers through TTA.
Some of the features of this textbook that students and teachers may find useful:
* The questions are in the style of past HSC questions where possible, so students are learning the right type of questions throughout the course.
* The questions are graded in difficulty so students can work at their own level.
* Each exercise starts with Basic questions that match the examples, so students can ease themselves into the new concepts if they need to. More confident students can skip these first questions and start with Medium.
* All questions have fully worked solutions.
* There are lots of diagrams that help students understand concepts that would normally only be dealt with algebraically. There are many hints and tips on how to more easily answer questions, and to see the way past tricks in exam questions.
The textbook is paired with ‘1000 Revision Questions in Mathematics Extension 2’. The first 500 questions are arranged topic by topic matching the chapters from the textbook to help students study and revise, while the last 500 questions are from mixed topics to help students prepare for their Trials and the HSC.
The textbook is set out so that you can cover the course in 42 lessons. The aim is for you to be able to finish the course as soon as possible so that you can have months of revision before the HSC to master the content.
Extension 2 Textbook and Revision Questions
The Extension 2 textbook and matching ‘1000 Revision Questions’ will be continually changed and updated over time so that it better matches the HSC while the other textbooks stay the same.
The textbook has over 1000 questions and at 582 pages is about 50% bigger than the commercial textbooks. The two digital books work best together, but you can just use one or the other.
This textbook is mainly a passion project, but indirectly earns me a bit of pocket money through school copyright licensing and increasing traffic to my commercial online professional development courses for teachers through TTA.
Some of the features of this textbook that students and teachers may find useful:
* The questions are in the style of past HSC questions where possible, so students are learning the right type of questions throughout the course.
* The questions are graded in difficulty so students can work at their own level.
* Each exercise starts with Basic questions that match the examples, so students can ease themselves into the new concepts if they need to. More confident students can skip these first questions and start with Medium.
* All questions have fully worked solutions.
* There are lots of diagrams that help students understand concepts that would normally only be dealt with algebraically. There are many hints and tips on how to more easily answer questions, and to see the way past tricks in exam questions.
The textbook is paired with ‘1000 Revision Questions in Mathematics Extension 2’. The first 500 questions are arranged topic by topic matching the chapters from the textbook to help students study and revise, while the last 500 questions are from mixed topics to help students prepare for their Trials and the HSC.
The textbook is set out so that you can cover the course in 42 lessons. The aim is for you to be able to finish the course as soon as possible so that you can have months of revision before the HSC to master the content.
