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# chapters

## Graphical Calculators

An introduction to some of the functions of the Casio series of graphical calculators

## Algebra and functions

Covers surds, indices, inequalities, quadratics, factor and remainder theorems, and functions

## Applied Differentiation

covers applications of differentiation including finding and classifying stationary points and studying connected rates of change.

## Complex Numbers

From the basics of the arithmetic of complex numbers, to polar form, Demoivre's theorem and Cardano's method for solving cubics

## Coordinate Geometry

Pythagoras, transformations and parametric curves

## Differential Equations

Linear first and second order ordinary differential equations & non-linear first order ordinary differential equations

## Integration

from polynomials to trig and exponential functions, substitution and by parts methods

## Matrices

Covering basic algebra of matrices, geometric interpretation and special matrices, determinants, eigenvectors and eigenvalues and the Cayley Hamilton theorem

## Numerical methods

Covering iteration, Newton-Raphson and numerical integration techniques

## Sequences and series

Covering summation notation, arithmetic, geometric and binomial series