Mathematics Advanced (2 unit) · West Pennant Hills and online

HSC Maths Advanced tutor

1-on-1 and small group lessons for Mathematics Advanced, at my home in West Pennant Hills or online via Zoom. Your first lesson is free.

About Mathematics Advanced tutoring

Mathematics Advanced (the old 2 unit course) is the course most HSC students take, and it's the foundation for Extension 1 and Extension 2. I've been tutoring it for more than 20 years.

Lessons focus on understanding why each method works, not just memorising steps. That's what lets students handle the unfamiliar questions that separate a Band 5 from a Band 6.

Topics I cover

  • Functions and graphs, including transformations
  • Trigonometric functions and identities
  • Exponential and logarithmic functions
  • Differential calculus: rates of change, curve sketching and optimisation
  • Integral calculus: areas under curves and the trapezoidal rule
  • Series and financial mathematics: annuities and loan repayments
  • Statistical analysis: random variables and the normal distribution

Worked video lessons

Some of my Mathematics Advanced lessons on YouTube, so you can see how I explain things before booking.

Home loan repayments

Arithmetic and geometric series

Change of base for logarithms

Graphing parabolas

Proof of the cosine rule

Integration: a summary

Integrating trigonometric functions

Acceleration and displacement

The normal distribution

HSC 2012 Mathematics, Question 11

Past HSC paper walkthrough

HSC 2012 Mathematics, Question 12

Past HSC paper walkthrough

Lesson details

  • First lesson free, then $60 per hour for 1-on-1 lessons
  • 60 minute lessons, 1-on-1 or in a small group
  • At my home in West Pennant Hills (2125), a short drive from Cherrybrook, Pennant Hills, Beecroft, Castle Hill, Carlingford, Thornleigh and Dural
  • Or online via Zoom, with a tablet, a stylus and a free Canva account
  • 20+ years tutoring HSC maths, James Ruse graduate (99.25 UAI), PhD in AI and statistics
  • Current NSW Working With Children Check (WWC2744827E)

I also tutor Mathematics Extension 1 and Mathematics Extension 2.