## Topic 1: Integration and Applications

Integration resulting in ln|ax+b|

Proofs of derivatives of Inverse Trigonometric Functions

Calculating derivatives of inverse trigonometric Functions

Integration Resulting in Inverse trigonometric functions

Integration by Substitution Introduction

Integration by substitution worked examples part 1

Integration by substitution worked examples part 2

Integration by linear substitution

Definite Integral & U substitution: One Weird Trick

Using trig identities for integration

Partial Fractions: Improper Rational Functions

Integration by parts

Integration by parts: choosing u and v'

Integration by parts e^xsinx

Integration by parts: Definite Integrals

Volumes of solids of revolution introduction

Volume of solids of revolution: between 2 curves

Volumes of solids of revolution: Around the y axis

Simpson's Rule: Worked Example & Casio Calculator use

Exponential probability density function: Waiting for stuff

## Topic 2: Rates of Change & Differential Equations

Implicit differentiation

Solving differential equations

Solving differential equations given in terms of f(y)

Setting up differential equations

Isaac Newton & My Cup of Coffee: Differential Equations Applications

Differential equations: Mixing Problems

Modelling Population Growth: The Logistic Equation – Differential Equations

Verifying solutions to differential equations

Separable differential equations

Related Rates: Introduction and Worked Examples

Related Rates Parametric equations

Differential Equations with Related Rates

Introduction to Slope Fields for Differential Equations

Slope Fields Using the TI NSPIRE

Displacement velocity acceleration etc

Velocity in terms of displacement Acceleration in terms of velocity

Other Expressions for acceleration part 1

Other Expressions for acceleration part 2

Simple Harmonic Motion

Resultant forces

Momentum

Newton's laws of motion

Newtons laws of motion examples

Calculating the Normal Reaction Force in an Elevator

## Topic 3: Statistical Inference (coming soon)

Coming soon