VCE

VCE Maths

Learn About The Subject

VCE Maths is a group of mathematics subjects within the Victorian Certificate of Education (VCE) program in Australia. More than just a single subject, it is an academic pathway divided into multiple levels — General Mathematics, Mathematical Methods, and Specialist Mathematics — designed to develop logical thinking, problem-solving abilities, and abstract analytical skills.

Achieving high results in VCE Maths subjects is a prerequisite for entry into most university courses, especially in the fields of Engineering, Science, Commerce, and Economics.

Common Challenges When Learning VCE Maths

Difficulty selecting the right subject: Uncertainty between General Maths, Mathematical Methods, and Specialist Maths to meet the entry requirements of future academic pathways.
Struggles with abstract concepts: Especially in Mathematical Methods and Specialist Maths, which cover complex topics such as Calculus, Trigonometry, and Complex Numbers.
Difficulty using the CAS calculator effectively: Underutilizing the advanced features of the Computer Algebra System (CAS) calculator to solve problems quickly and accurately.
Challenges in time management and exam strategy: Pressure from regular School-Assessed Coursework (SACs) and final exams that heavily impact the overall ATAR score.

Course Content

VCE Mathematical Methods Syllabus

Unit 1: Functions and Graphs

1.1: Types of Functions (Polynomial, Exponential, Logarithmic, Circular)

1.2: Transformations of Functions (Dilation, Reflection, Translation)

1.3: Composite Functions, Inverse Functions & their Properties

1.4: Solving Equations Involving Functions Algebraically & Graphically

Unit 2: Differential Calculus

2.1: Limits, First Principles & Differentiability

2.2: Differentiation Rules (Product, Quotient, Chain)

2.3: Differentiation of Exponential, Logarithmic & Circular Functions

2.4: Applications of Differentiation (Tangents, Stationary Points, Rates of Change, Optimisation)

Unit 3: Integral Calculus

3.1: Anti-differentiation & the Indefinite Integral

3.2: The Definite Integral as a Limit of a Sum

3.3: The Fundamental Theorem of Calculus

3.4: Applications of Integration (Area Under/Between Curves, Average Value)

Unit 4: Probability and Statistics

4.1: Discrete & Continuous Random Variables

4.2: The Binomial Distribution & its Properties

4.3: The Normal Distribution & Standard Z-Scores

4.4: Statistical Inference & Confidence Intervals for Proportions

VCE Specialist Mathematics Syllabus

Unit 1: Vectors and Mechanics

1.1: Vectors in Two & Three Dimensions

1.2: Scalar (Dot) Product & Vector (Cross) Product

1.3: Vector & Cartesian Equations of Lines & Planes

1.4: Vector Calculus for Kinematics (Position, Velocity, Acceleration)

1.5: Forces, Newton's Laws & Equilibrium

Unit 2: Complex Numbers and Functions

2.1: Complex Numbers in Cartesian & Polar Form

2.2: De Moivre’s Theorem & Roots of Complex Numbers

2.3: Sketching Graphs of Rational & Other Functions

2.4: Implicit Differentiation & Related Rates

Unit 3: Advanced Calculus

3.1: Advanced Integration Techniques (Substitution, Parts)

3.2: Volumes of Solids of Revolution

3.3: Arc Length of a Curve

3.4: Solving First-Order Differential Equations

3.5: Applications of Differential Equations (e.g., Growth, Decay)

Unit 4: Probability and Statistics

4.1: Sample Means & the Central Limit Theorem

4.2: Confidence Intervals for Means

4.3: Hypothesis Testing for a Population Mean

4.4: Statistical Inference with Two Samples

VCE General Mathematics Syllabus

Unit 1: Data Analysis and Recursion

1.1: Investigating & Comparing Data Distributions

1.2: Investigating Relationships Between Two Numerical Variables (Regression)

1.3: Modelling Time Series Data (Smoothing, Seasonality)

1.4: Recursion & Financial Modelling

Unit 2: Financial Mathematics

2.1: Compound Interest, Appreciation & Depreciation

2.2: Reducing-Balance Loans (Annuities)

2.3: Annuity Investments (Superannuation)

2.4: Comparing Loans & Investments

Unit 3: Matrices

3.1: Matrix Arithmetic & Applications

3.2: Inverse Matrices & Solving Systems of Equations

3.3: Dominance & Leslie Matrices

3.4: Transition Matrices & their Applications

Unit 4: Networks and Decision Mathematics

4.1: Graphs, Networks & their Properties

4.2: Shortest Path Problems & Minimum Spanning Trees

4.3: Bipartite Graphs & Matching Problems

4.4: Project Management & Critical Path Analysis

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Frequently Asked Questions

Frequently Asked Questions About

VCE Maths

What is the difference between Mathematical Methods and Specialist Mathematics?

Mathematical Methods is a foundational subject focusing on Calculus and Functions. Specialist Mathematics is the highest and most challenging math subject, covering all content from Methods and extending into more advanced topics such as Vectors and Complex Numbers. It is often required for top-tier university courses in Engineering, Computer Science, and the Natural Sciences.

Should I take both Methods and Specialist at the same time?

This is a highly demanding combination, suitable for students with exceptional mathematical aptitude and passion. It is ideal for those aiming for courses that have very high mathematical requirements and for maximizing their ATAR score.

Is General Mathematics sufficient for university entry?

General Mathematics is suitable for fields that do not require deep mathematical foundations, such as Social Sciences, Arts, Humanities, and some Business programs. However, it is not sufficient for entry into STEM or Commerce courses.

How does Intertu support students with their School-Assessed Coursework (SACs)?

Intertu teachers help students strengthen foundational knowledge, practice with similar question types, and understand SAC marking criteria. We guide students in exam techniques and strategies to confidently complete their assessments while ensuring full compliance with academic integrity standards.

What are the advantages of studying VCE Maths for studying abroad outside of Australia?

VCE is a highly respected international qualification. The rigor and depth of VCE Mathematical Methods and Specialist Mathematics are widely recognized, providing excellent preparation for university-level mathematics anywhere in the world.

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VCE

VCE Maths

Learn About The Subject

Common Challenges When Learning VCE Maths

Course Content

VCE Mathematical Methods Syllabus

VCE Specialist Mathematics Syllabus

VCE General Mathematics Syllabus

Register For A Consultation With Our Experts

Personalized Learning Approach

Academic Pathway

Competency Assessment

Set Learning Objectives

Create A Learning Path

Implement And Optimize

MEET THE TEACHING TEAM

Dedicated Team Of Teachers Ready To Support Your Learning Journey

Tuan Nguyen

Duy Nguyen

Thuy Nguyen

Tra Nguyen

Tin Nguyen

Hieu Pham

Uyen Vu

Carolina Rondon

Choosing the right study package

Find The Optimal Academic Support Solution For You

Learn About Another Subject

Frequently Asked Questions

Frequently Asked Questions About

VCE Maths

CONTACT INTERTU

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