YEAR 12 MATHEMATICS EXTENSION 1 (ONLINE)

+ 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

+ Principle of Induction
+ Summation and Divisibility Induction

+ Further Inequations
+ Sketching Curves by Addition of Ordinates
+ Sketching Curves by Multiplication of Ordinates
+ Sketching Reciprocal Functions
+ Sketching Absolute Value Transformations
+ Sketching Square Root Transformations
+ Parametric Representation of Functions
+ Inverse Functions

+ Compound Angle Formula
+ Double Angle Formula
+ Triple Angle Formula
+ The t-results
+ Further Trigonometric Equations
+ Sum of Sine and Cosine Functions
+ Sum to Product and Product to Sum
+ Generation Solutions (optional)

+ Inverse Trigonometric Functions
+ Differentiating Inverse Trigonometric Functions

+ Introduction to Polynomials
+ Division of Polynomials
+ Remainder Theorem
+ Factor Theorem
+ Graphs of Polynomial Functions
+ Consequences of the Factor Theorem
+ Multiple Root Theorem
+ Relationship between Roots and Coefficients

+ Factorial Notation
+ Binomial Expansions
+ Binomial Theorem
+ Binomial Identities

+ Ordered Arrangements without Repetition
+ Ordered Arrangements with Repetition
+ Counting with Identical Elements
+ Unordered Arrangements
+ Circular Arrangements
+ Pigeonhole Principle

+ Introduction to Vectors
+ Vector Operations
+ Dot Product
+ Projections
+ Vector Geometry
+ Physical Applications of Vectors

+ Volume of Solids of Revolution
+ Further Differentiation of Trigonometric Functions
+ Further Integration of Trigonometric Functions
+ Integration by Substitution
+ Integrating Functions associated with Inverse Trigonometric Functions

+ Introduction to Differential Equations
+ Slope Fields
+ Separable Differential Equations
+ Autonomous Differential Equations
+ Applications of Differential Equations

+ Further Probability, including with counting
+ Binomial Probability
+ The Binomial Distribution
+ The Normal Distribution as an Approximation
+ Sample Proportions

+ Related Rates of Change
+ Modified Growth and Decay
+ Projectile Motion

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.

Our online courses are not livestreamed classes. Our online videos are pre-recorded to ensure high quality deliver. You can learn any topic of your choosing, at any time and at any place. You can also learn at your own pace - pause, replay, speed up, slow down the videos for an on-demand learning experience!

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!