Mathematics

Tutorials

Animated graphs
A synopsis of nine functions and their graphs with links to a slide show.
Function, domain and range
A synopsis of functions in four representations, with links to discussion and exercises on finding the domain of functions (Flash)
Functions
A synopsis of functions and graphs with links to other related details.
Graphs in the Mathematics Course
A synopsis of nine functions and their graphs, with links to an animated slide show.
Odd / even functions
An exercise to check understanding of odd and even functions, with answers and explanations. (Includes questions involving logs and exponential functions).
Piecewise defined functions
An animation that permits modification to some of the parameters in the piecewise function.(MathView)
Symmetry to x axis
An investigation of a functions symmetrical to the x-axis by modification of the function. (MathView)
Symmetry to y axis
An investigation of a functions symmetrical to the y-axis by modification of the function. (MathView)
Transformations of graphs
A series of five sets of graphs that require the user to select the transformation needed to effect the graph on the right.

A set of HSC past papers & advice on the examination
Hints and answers from past exam papers (formerly '2 Unit'), and past articles from Sydney Morning Herald advice to students.
Domain and surds test (demanding)
A demanding set of revision questions on surds and other radicals, with hints, answers and links to a tutorial.
Drill with odd functions
An investigation on matching two graphs to establish an odd function. (MathView)
Finding the domain of functions
A series of ten questions with answers on the domain of functions, with links to a tutorial.
Quiz for transformation of graphs
A series of five sets of graphs that require the user to select the transformation needed to effect the graph on the right.

Continuity
A graphical illustration of discontinuity by careful examination of the graph.
Family of functions
An graphical illustration of the transformation of the graph to create a family of functions on the same coordinate axis.
Function defined by segmented domain
A graphical illustration of piecewise function for a given domain and function.
Piecewise defined functions
An animated presentation of instructions on creating piecewise functions for a graphics calculator. (Flash)
Piecewise defined functions
An animated presentation of instructions on creating piecewise functions for a graphics calculator. (Java applet)
What's my rule?
An exercise to determine the next number in the sequence. (check the solutions)