# FP2 Tutorials – MEI A Level Maths

## Integration

## Inverse trigonometric functions

## Standard Integrals Involving Inverse Trigonometric Functions

## Polar Coordinates and Curves

## Polar Coordinates

## Equations of Curves

## Area Bounded by a Polar Curve

## Complex Numbers

## Further Complex Numbers

## De Moivre’s Theorem

## Loci in the Complex Plane

## Transformations of the Complex Plane

## Series

## Maclaurin’s Series

## Matrix Algebra

## Further matrix algebra

- Transposed and symmetric matrices
- Finding the determinant of a 3x3 matrix
- Finding the inverse of a 3x3 matrix where it exists
- 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
- The Cayley-Hamilton theorem

## 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