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Advanced Maths: Functions & Graphs

Master the full range of functions—from composite to inverse trig—in this sharp, ATAR-aligned course for Specialist and Extension Maths.

Instructor

Paul

Course Description

Functions and Graphs are the beating heart of advanced mathematics—and this course helps you master them with clarity and confidence.

Whether you’re tackling VCE Specialist Maths, NSW Extension 1 & 2, QLD Specialist Maths, WA ATAR Specialist Mathematics, SACE Stage 2, or TASC Level 4, this program gives you a complete understanding of the core concepts behind composite, inverse, rational, and trigonometric functions.

We break each concept into small, sharp lessons filled with visual explanations, worked examples, and problem-solving strategies. Whether you’re aiming for a top ATAR or just want to stop Advanced Maths from becoming your worst subject, this program is your launchpad.

Key Features

Mapped to all major state syllabuses (VCE, HSC, QCE, SACE, WACE, TASC)
Micro-focused lessons to target specific skills in 10–15 minute chunks
Step-by-step worked examples with insights from high-performing teachers
Graphing and CAS calculator integration where appropriate
Includes exam-style practice to reinforce every concept taught

Keyphrases

Advanced Maths, Specialist Maths, Extension Maths, composite functions, inverse functions, domain and range, rational functions, asymptotes, modulus, trigonometric identities, inverse trig functions, graph sketching, maximum and minimum, VCAA, HSC, QCE, SACE, WACE, TASC

Composite and Inverse Functions

Starting Course

Rational Functions

After Intro

Trigonometric Functions – Core & Reciprocal

Trigonometric Identities & Equations

Inverse Trigonometric Functions

FAQ 1

Faq Content 1

FAQ 2

Faq Content 2

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Course details

Duration 10 hours

Lectures 33

Video 9 hours

Quizzes 1

Level Advanced

Basic info

Course Title: Advanced Maths: Functions & Graphs
Level: Senior High School
Suitable Curricula:

◦ VCE Specialist Mathematics (VIC)

◦ NSW HSC Extension 1 & 2 Mathematics

◦ QLD Specialist Mathematics

◦ WA ATAR Specialist Mathematics

◦ SACE Stage 2 Specialist Mathematics (SA)

◦ TASC Level 4 Mathematics (TAS)
Mode: Online, Self-Paced