YEAR 12 MATHEMATICS EXTENSION 2

Who is this course for?

Specifically developed for Year 12 students studying Mathematics Extension 2 for the HSC. This course starts Term 4 of Year 11 and runs concurrently with our Extension 1 program. The list of topics covered is given below.

Through this course, we aim to give students an in-depth understanding and insight into the topics and further develop their strong maths abilities. We will work to strengthen foundational skills, improve critical thinking and problem solving skills, and learn how to synthesise a multitude of different techniques to tackle the most complex examination-style questions.

Recommended for students who:

✔ want to improve their maths skills and enjoy a challenge
✔ enjoy interpersonal interactions and in-class discussions in an informal environment
✔ desire the structure and accountability of weekly lessons
✔ appreciate additional support while in class

Face-to-Face Lessons

$120 per lesson (billed termly)
DISCOUNTS AVAILABLE!

✔ 3-hour weekly lessons through our teaching term
✔ Top quality teaching makes difficult concepts easier to grasp
✔ Topics are taught systematically and comprehensively
✔ Amazing learning experience
✔ Small class size allows for flexible topic schedule
✔ Comprehensive course notes for you to note-take and personalise
✔ Workbooks with careful curation of challenging questions to help you go that extra mile
✔ Complimentary access to HSC101
✔ Progress tracking to identify and overcome any challenges
✔ Always here and ready to help!

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List of Topics

  • + Arithmetic of complex numbers
    + Polar and exponential form
    + Vectors
    + Locus
    + Applications of de Moivre's Theorem
    + Polynomials and complex numbers
    + Harder polynomials

  • + Elementary number theory
    + Methods of proof
    + Inequalities
    + Mathematical induction

  • + 3D vectors
    + Vector geometry
    + Lines, planes and spheres

  • + Revision of previously learnt integration techniques
    + Integration by change of variable
    + Partial fractions
    + Integration by substitution
    + Integration by parts
    + Reduction formula
    + Special properties

  • + Extension motion
    + Simple harmonic motion
    + Resisted motion
    + Harder projectile motion

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