Get HSC exam ready for Maths Ext 2 in just a week

Audience

Who it's for

This course is designed for students who:

• Are preparing for HSC Trials and final HSC Maths Extension 2 exams
• Want flexible, self-paced revision of the most advanced topics
• Prefer to learn independently with structured guidance
• Need help solving complex, multi-step and proof-based questions
• Want to improve mathematical reasoning, working accuracy, and efficiency
• Want to build confidence in tackling high-level exam questions under timed conditions

It is also ideal for parents looking for a more accessible and flexible alternative to in-person classes that still provides structured, syllabus-aligned revision.

Program

What's covered

Lesson 1: Proofs and Mathematical Induction

• The Language of Proof (How to Write a Good Proof)
• Proof by Contradiction
• Proofs Involving Inequalities
• Advanced Applications of Mathematical Induction
• Complex Arithmetic and Complex Equations

Lesson 2: Complex Numbers

• Roots of Unity
• Complex Polynomials
• Loci Associated with Complex Numbers
• Complex Numbers Represented as Vectors

Lesson 3: Vectors

• Vectors in Three-Dimensional Space
• Equations and Geometry of Spheres
• Parametric Forms of Curves and Surfaces
• Vector Equations of Lines and Curves
• Relationships Between Lines in Space
• Vector Proofs and Applications in Geometry

Lesson 4: Integration

• Integration by Substitution
• The Reverse Chain Rule
• Integration by Parts
• Integrals Involving Partial Fractions
• Integrals Involving Trigonometric Functions
• Recurrence Relations in Integration

Lesson 5: Mechanics

• Motion Under Resistance
• Motion with Resistance in Projectile Motion
• Simple Harmonic Motion and Its Applications

Lesson 6: Harder Questions

• Advanced Questions Drawn from a Range of Syllabus Topics

Benefits

What you'll gain

1. Flexible, Self-Paced Learning

Study anytime, anywhere with structured lessons you can pause, replay, and revisit as needed.

2. Advanced Problem-Solving Skills

Develop the ability to tackle complex, multi-step and unfamiliar questions with confidence.

3. Strong Mathematical Reasoning and Proof Skills

Improve your ability to construct rigorous arguments, justify solutions, and approach proof-based questions effectively.

4. Mastery of High-Level Exam Techniques

Learn how to approach the most challenging HSC question types with effective strategies and clear methods.

5. Confidence Under Exam Conditions

Gain confidence through regular exposure to high-level exam-style questions, guided examples, and mock exams.

6. Clear Strategies for Advanced Topics

Strengthen your approach to key areas such as integration, vectors, and complex numbers through structured application.

Approach

How it works

Self-Paced Learning Structure

Students progress through six structured Theory Lesson Videos focused on revising key content and applying it to exam-style questions. Each lesson is designed to maximise exam readiness through:

• Revision of key theory and syllabus concepts
• Guided exam-style practice questions
• Explicit teaching of advanced problem-solving techniques
• Application through worked examples

Expert Teaching

Lessons are delivered by experienced Matrix teachers who provide clear explanations and step-by-step reasoning to help students approach complex problems and proofs effectively.

Matrix-Developed Curriculum

All lesson content is designed by Matrix and aligned to NESA syllabus outcomes, ensuring students focus on relevant topics, techniques, and exam expectations.

Practice and Application

Students complete exam-style questions and mock exams, applying what they learn through structured examples and guided practice.

Accessible Resources and Support

Students receive a comprehensive preparation book, access to Theory Lesson Videos, and ongoing support through Ask Max, our AI chatbot, for explanations and guidance.