VCE Specialist Maths Units 3&4
VCE Specialist Mathematics Units 3 & 4 Tutoring: Master the VCAA Curriculum
Part of our weekly group class offering
VCE Specialist Mathematics Units 3 & 4 extends Mathematical Methods into proof, complex numbers, vectors and differential equations, the toughest and highest-scaling VCE subject. TuteMax's Specialist Mathematics tutoring builds genuine problem-solving skill, so Victorian students can tackle unfamiliar questions with confidence rather than relying on memorised steps.
Our program is specifically designed to align with the VCAA Study Design, ensuring students are prepared for both School Assessed Coursework (SACs) and the final end-of-year examinations.
VCE Specialist Mathematics Unit 3 & 4 Curriculum & Weekly Schedule: What We Cover
Our curriculum is divided into the two major study units, focusing on high-yield topics and the application of knowledge. Specialist Mathematics assumes concurrent or prior study of Mathematical Methods Units 3 & 4.
Unit 3: Logic, Complex Numbers, Calculus and Vectors
- Logic and Proof: Techniques of mathematical proof, including proof by contradiction and induction, and formal logic.
- Complex Numbers: Cartesian and polar forms, complex arithmetic, factorising polynomials and solving equations over the complex field.
- Functions, Calculus and Vectors: Extending differentiation and integration techniques, and working with vectors in two and three dimensions.
Unit 4: Differential Equations, Kinematics and Statistics
- Vector Calculus and Kinematics: Vector functions of time, motion in a plane, and applications to real-world motion problems.
- Differential Equations: Setting up and solving differential equations that model rates of change.
- Statistical Inference: Sampling distributions, confidence intervals and hypothesis testing for the sample mean.
Our curriculum:
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Week |
Topic |
|---|---|
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Week 1 |
Introduction and Foundations |
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Week 2 |
Logic and Proof |
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Week 3 |
Proof Techniques |
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Week 4 |
Complex Numbers Basics |
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Week 5 |
Polar Form |
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Week 6 |
Complex Polynomials and Roots |
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Week 7 |
Complex Regions and Loci |
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Week 8 |
Unit 3 AOS Revision |
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Week 9 |
Unit 3 AOS Practice SAC Review |
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Week 10 |
Functions and Graphs |
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Week 11 |
Reciprocal and Inverse Graphs |
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Week 12 |
Differentiation Techniques |
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Week 13 |
Implicit Differentiation & Related Rates |
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Week 14 |
Integration Techniques |
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Week 15 |
Applications of Integration |
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Week 16 |
Calculus AOS Revision |
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Week 17 |
Calculus AOS Practice SAC Review |
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Week 18 |
Vectors in 2D and 3D |
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Week 19 |
Lines and Planes |
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Week 20 |
Vector Calculus |
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Week 21 |
Vectors AOS Revision |
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Week 22 |
Vectors AOS Practice SAC Review |
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Week 23 |
Differential Equations |
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Week 24 |
Kinematics |
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Week 25 |
Modelling and Applied Tasks |
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Week 26 |
Sampling Distributions |
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Week 27 |
Confidence Intervals |
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Week 28 |
Hypothesis Testing |
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Week 29 |
Statistics AOS Revision |
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Week 30 |
Statistics AOS Practice SAC Review |
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Week 31 |
Problem-Solving & Modelling Skills |
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Week 32 |
Technology and CAS Skills |
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Week 33 |
Revision Part I |
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Week 34 |
Mock Exam 1 |
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Week 35 |
Revision Part 2 |
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Week 36 |
Mock Exam 2 |
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Week 37 |
Revision Part 3 |
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Week 38 |
Mock Exam 3 |
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Week 39 |
Exam Strategies |
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Week 40 |
Mock Exam 4 |
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Week 41 |
Exam Question Clinic |
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Week 42 |
Final Revision |
The TuteMax Approach
Whether you join our Weekly Group Classes or prefer 1-on-1 Private Tutoring, we provide a toolkit for success:
VCAA-Aligned Practice Exams: Our question sets are written to match the exact phrasing and difficulty of past VCE Specialist Mathematics exam papers, not generic textbook problems.
Exam 1 Fluency: Short, timed drills build confident technology-free algebra, calculus, complex number and vector skills for Exam 1.
CAS and Bound Reference Mastery: Students learn efficient CAS workflows and build a well-organised bound reference ready for Exam 2.
Study Options
|
Feature |
Group Classes |
Private Tutoring |
|---|---|---|
|
Focus |
Syllabus-paced coverage |
Student-led/Specific weak points |
|
Interaction |
Peer discussion & collaborative problem-solving |
100% individual attention |
|
Best For |
Keeping up with the school timeline |
Intensive SAC prep or catching up |
|
Resources |
Weekly booklets & trial exams |
Customised worksheets & feedback |
Ready to Ace Your VCE Specialist Mathematics Journey?
Specialist Mathematics rewards students who can move fluently between rigorous proof, complex numbers, vectors and calculus without losing marks on either. Join TuteMax's VCE Specialist Mathematics tutoring and turn tricky problem-solving into a study score you're proud of.
[Enrol in a Group Class] or [Book a Trial Private Session]
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