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Maths Extension 1 · Year 12 · NESA ME1-12-05

Further applications of calculus

NESA focus area ME1-12-05, 20 lessons.

Syllabus note: this focus area follows the new 2024 NESA syllabus (first HSC 2027). Students sitting the HSC in 2026 study the 2017 syllabus.

20lessons

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Lessons

Area Between Curves, Introduction

Area Between Curves, Worked Examples

Area with Respect to the $y$-axis

Solids of Revolution, Disk Method

Solids of Revolution, About the

Volumes Between Curves, Worked Examples

Introduction to Differential Equations

Direction Fields (Slope Fields)

Solving $\dfrac{dy}{dx} = f(x)$

Solving $\dfrac{dy}{dx} = g(y)$

Separation of Variables

Separation of Variables, Worked Examples

Exponential Growth and Decay

The Logistic Equation

Modelling with Differential Equations

Mixing Problems

Newton's Law of Cooling

Mixed Application Problems

Module 9 Synthesis & Exam Technique