Who is this course for?

Specifically developed for Year 12 students studying Mathematics Advanced who want to strengthen foundational skills, improve problem solving skills and learn how to synthesise different techniques to excel in mathematics. This course is a continuation of our Year 11 Mathematics Advanced program. See list of topics covered below.


Online Course

$35 per WEEK, BILLED QUARTERLY
limited time offer!

✔ Learn what you want, where you want, when you want!
✔ Video lessons paired with course notes
✔ Course materials delivered to your home
✔ Amazing learning experience
✔ Ultimate flexibility: you decide the order of topics to learn!
✔ AI driven practices to help you master course content
✔ Instant feedback, unlimited practices
✔ Year-round access to content on HSC101
✔ Access to online community to ask questions!

suitable for students who:

✔ are disciplined and self-motivated
✔ are unable to attend our weekly face-to-face lessons physically due to location or scheduling constraints
✔ may need to learn content out of order or need to revise or accelerate ahead
✔ need help with specific topics


List of Topics (Year 11+12)

  • + Overview of the Number System
    + Surds
    + Terms and Factors
    + Expanding Brackets
    + Linear Equations
    + Linear Inequations
    + Factorisation
    + Quadratic Equations
    + Algebraic Fractions
    + Simultaneous Equations

  • + Introduction to Functions
    + Domain and Range
    + Odd and Even Functions
    + Linear Functions
    + Quadratic Functions
    + Further Quadratic Equations
    + Sketching Polynomial Functions
    + Graphs of Some Other Basic Curves
    + Absolute Value Functions
    + Curve Sketching Techniques - Translations / Reflections / Dilations / Combinations of Transformations
    + Composite Functions
    + Rational Functions
    + Graphical Solutions and Basic Inequations
    + Regions in the Number Plane

  • + Introduction to Trigonometry
    + Special Angles and Angles of any Magnitude
    + Sine Rule, Cosine Rule and Area of Triangle
    + Radians
    + Arc length, Sectors and Segments
    + Trigonometric Identities
    + Trigonometric Graphs
    + Trigonometric Equations
    + 3D Trigonometry

  • + Introduction to Sequences
    + Sigma Notation and Partial Sum
    + Arithmetic Sequences and Series
    + Geometric Sequences and Series, and Limiting Sum
    + Simple Applications of APs and GPs
    + Arithmetic and Geometric Means
    + Revision of Basic Financial Mathematics
    + Investment Schemes
    + Time Payments

  • + Limits
    + Continuity and Differntiability
    + First Principle of Differntiation
    + Rules of Differentiation
    + Tangents and Normals
    + Implicit Differentiation (Optional)

  • + Geometric Definition of the Derivative
    + Stationary Points
    + The Second Derivative
    + Global Maximum and Minimum
    + Maximisation and Minimisation

  • + Primitive Functions
    + Constant of Integration
    + Area Bounded between the Coordinate Axes
    + Compound Areas
    + Properties of Definite Integrals
    + Trapezoidal Rule

  • + Sets and Venn Diagram
    + Theoretical Probability including conditional probability
    + Discrete Random Variables
    + Continuous Random Variables
    + Bivariate Data Analysis including linear regression
    + The Normal Distribution

  • + Logarithmic, Exponential and Trigonometric Functions
    + Differentiation and Integration of Functions involving Logarithms
    + Differentiation and Integration of Exponential Functions
    + Differential and Integration of Trigonometric Functions

  • + Gradient as a Rate
    + Natural Growth and Decay
    + Kinematics: Differentiation
    + Kinematics: Integration

Frequently Asked Questions

  • No, there is a list of topics that we cover in this course (shown above).

    Our online course gives you the flexibility to choose your own order of topics. You choose what you want to learn and when you want to learn it!

  • We offer significant amount of extra support for all our subjects outside of class.

    Students needing help with a particular topic, or just needing revision, can start by browsing our large catalogue of online learning videos on HSC101. For extra practice to master relevant concepts, our online homework system offers as much practice as you need with automatic marking and immediate feedback.

    For extra help, our tutors can be contacted outside of lesson hours on discord. If you don’t have discord, text/email is also okay! We are always happy to help - whether it's our work, schoolwork or preparation for an assessment!

  • Not at all! All course material will be provided. Enrolled students will receive a comprehensive set of course notes and extensive workbooks, covering every facet of the course. Students enrolled in relevant subjects will also have access to HSC101, our proprietary online learning platform.

  • Yes, you can enrol any time!

    If you have missed any topics, we will do our best to patch you up! We can provide you with all the course materials for the missed topics. If we offer online courses for the subject you enrol in, you will receive complimentary access to those courses. You will be able to stream all our video lessons to bridge those missed topics. Your tutor will also be happy to help you with any further questions!

  • We believe that everyone should have access to quality education. As such, we charge fair rates that average out to be $40 per hour or less.

    To help make your life a bit easier, we offer the following discounts for our face-to-face lessons:

    - Early bird discount: enjoy a discount of $5 per lesson when you pay for an upcoming term before the end of the current term!
    - Loyalty discount: if you’re enrolled in a subject for more than one term, enjoy a further discount of $5!
    - Multiple subject discount: second subject receives 5% off, third subject receives 10% off, etc.
    - Yearly discount: Pay for the whole year and enjoy a 10% discount.

    If your family is experiencing extreme financial hardship and you would love to study with us, please get in contact with us!