# FP3 Tutorials – Edexcel IAL (International A-Level)

It is advisable to check the official FP3 Edexcel IAL (International A-Level) specification in case of any changes.

## Hyperbolic Functions

## Hyperbolic Functions

- Definitions
- Graphs of sinh(x), cosh(x) and tanh(x)
- Graphs of sech(x), cosech(x) and coth(x)
- Solving equations using inverse and exponential functions
- Hyperbolic identities
- Osborn's rule
- Inverse hyperbolic functions and their graphs
- Expressing inverse hyperbolic functions as natural logarithms
- Solving hyperbolic equations using hyperbolic identities

## Conics

## The Ellipse

## Differentiation

## Inverse Trigonometric Functions

## Series

## Integration

## Standard Integrals Involving Inverse Trigonometric Functions

## Standard Integrals Involving Hyperbolic Functions

## Deriving and using reduction formulae

## Applications of Integration – Arcs

## Applications of Integration – Surface area of revolution

## Vectors

## Triple Scalar Product

## Matrix Algebra

## Further matrix algebra

- Transposed and symmetric matrices
- Finding the determinant of a 3x3 matrix
- Linear transformations in 3 dimensions
- Using inverse matrices to reverse the effects of a linear transformation
- Eigenvalues and eigenvectors
- Reducing a symmetrical matrix to diagonal form
- Finding the inverse of a 3x3 matrix where it exists