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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