## Topic 1: The Logarithmic Function

Log laws as fast as possible

Logs 1 Intro to Logarithms

Logs 2 Log Law 1

Logs 3 Log Law 2

Logs 4 Log Law 3

Logs 5 Log Law 4

Logs 6 Log Law 5

Logs 7 Log Law 6

Logs 8 solving exponentials

Solving Indicial equations using logarithms

Logs 9 Solving logarithmic equations

Solving Log equations examples

Solving equations involving natural log

Solving logarithmic equations with an unknown power

Solving logarithmic equations with an unknown base

Logs 10 Solving logarithmic equations part 2

Logarithms 12 Simplifying Log equations

Logarithmic functions Basic shape

Logarithmic functions Sketching

Finding equations of log functions

Logarithmic functions 3 Find equation from a sketch

Logarithmic Functions 4 Regression analysis

Exponential and logarithmic modelling

Solving Indicial equations

Harder Indicial Equations

Indicial equations super hard quadratic action

Indicial equations The hardest one

Exponential Models using e

e to the power of ln(x)

Logarithmic Modelling 3 Quick Examples

Sketching Log Functions & why they look the way they do

## Topic 2: Further Differentiation and Applications 2

Derivatives of Exponential, Logarithmic and Trigonmetric functions

The chain rule revisited

The Product Rule Revisited

The quotient rule

Equations of tangents and normals revisited

Average vs instantaneous rates of change

Rates of change application

Motion in a straight line An application of rates

Motion in a straight line acceleration recap

Finding Stationary points

Nature of Stationary points

## Topic 3: Integrals

Intro to Integration and integrating polynomials

Integration a little bit of theory

Integration finding the c value

Integration the reverse chain rule

Integration resulting in a logarithm

Integrals of exponentials

Integration of trig functions

Integration by recognition updated

Applications of Integration in motion questions

The definite integral

The definite integral signed area

Area between two curves

The area under a derivative function

Trapezoidal Rule Fully explained