Specialist Mathematics Units 3/4 tutoring on campus

Audience

Who it's for

The Year 12 Specialist Mathematics Units 3/4 Holiday Accelerated Course is designed for students who:

• Want to learn the upcoming term’s Specialist Mathematics topics before they are taught at school
• Aim to achieve top results in assignments, tests, and exams by mastering content early
• Need structured, step-by-step guidance to tackle complex problems
• Thrive in a fast-paced, academically rigorous environment led by expert teachers
• Benefit from daily practice, regular feedback, and small class sizes that provide targeted support

It is also suited to parents who:

• Want their child to reduce stress during the term by learning new topics in advance
• Prefer a program that is syllabus-aligned, academically challenging, and taught by Mathematics specialists
• Value consistent feedback, progress tracking, and access to extra support to ensure steady improvement

Program

What's covered

January – Foundations and Complex Numbers

Day 1: Logic & Direct Proof
Day 2: Indirect Proofs & Mathematical Induction
Day 3: Complex Numbers: Cartesian to Polar
Day 4: Solving Polynomials in the Complex Plane
Day 5: Vectors in 2D & 3D

Weekend Break

Day 6: Vector Dot Product
Day 7: Vector Cross Product
Day 8: Exam Style Questions
Day 9: Revision and Topic Test

April – Calculus Fundamentals

Day 1: Circular Functions & Parametric Equations
Day 2: Differentiation Tools
Day 3: Related Rates & Implicit Differentiation
Day 4: Integration – Substitution
Day 5: Integration – Advanced Techniques

Weekend Break

Day 6: Area & Volume Slices
Day 7: Advanced Volumes & Arc Length
Day 8: Rotational Geometry – Surface Area
Day 9: Revision and Topic Test

July – Vectors and Vector Calculus, Differential Equations, Kinematics & Statistics

Day 1: Differential Equations – Solving
Day 2: Differential Equations – (Applications)
Day 3: Scalar Kinematics – Constant Acceleration
Day 4: Scalar Kinematics – Variable Acceleration
Day 5: Vector Calculus & Kinematics

Weekend Break

Day 6: Statistics – Distributions
Day 7: Statistics – Inference
Day 8: Statistics – Testing & Errors
Day 9: Revision and Topic Test

October – Summary and Revision of Year 12 Specialist Maths

Day 1: Graphs & Rational Functions
Day 2: Complex Numbers
Day 3: Differential Equations (Modelling)
Day 4: Kinematics & Vector Calculus
Day 5: Vectors & 3D Geometry

Weekend Break

Day 6: Probability & Statistics
Day 7: Logic, Proof & Number
Day 8: Practice Questions
Day 9: Revision and Topic Test

Benefits

What you'll gain

1. Mastery of Specialist Mathematics Topics
Build a strong grasp of Specialist Mathematics concepts before they are taught at school.

2. Stronger Problem-Solving Skills
Tackle challenging, multistep problems with structured methods that build confidence and fluency.

3. Exam Readiness
Practise with VCE-style questions, daily reviews, and a final topic test to develop precision under assessment conditions.

4. Efficient Use of Term Time
Free up valuable time during the school term to revise, refine, and focus on other demanding subjects.

5. Strong Foundation for VCE Mathematics
Concepts reinforced early, preparing students for success in VCE.

Approach

How it works

Structured Acceleration

In just 9 days, students cover a full term’s worth of Specialist Mathematics Units 3/4 content before it is taught at school. This head start reduces the pressure of learning new concepts during the busy school term and allows students to use class time at school for reinforcement rather than first exposure.

Teaching Approach

Lessons are delivered by expert teachers through clear explanations, step-by-step worked examples, and explicit instruction. Students apply their learning through guided practice, daily problem-solving, and VCE-style questions. Immediate feedback ensures concepts are consolidated and any gaps are addressed quickly.

Content Mix

Each lesson balances theory and application across the Specialist Mathematics syllabus. Students develop conceptual clarity, practise applying techniques to complex problems, and learn to tackle non-routine and multi-step exam questions confidently.

9-Day Sequencing

The course runs across nine consecutive sessions over two weeks. Each day builds on the last in a deliberate sequence, reinforcing learning through daily practice and review. By the end of the program, students have completed the full module for Specialist Mathematics Units 3/4, leaving the term free for revision and exam preparation.