Mathematics

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Tutorials

Functions and derivatives
A graphical presentation of a function and its derivative, with suggestions for further exploration. (Mathview)

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.
Application of graphical features
A presentation using velocity-displacement as an application of anti-derivative / indefinite integral (Flash)
Calulus applications
A series of twenty True/False questions, with links to answers that appear immediately and summary details.
Drill on first derivative
Ten questions, with answers, on increasing and decreasing functions and local maxima and minima that include exponential and logarithmic functions.
Functions and derivatives quiz
A 15 question quiz, with a score at the end, that tests the ability to use the concepts of differentiability to infer information about the graph of a function.
Functions and second derivatives quiz
An exercise, with ten questions, that tests the ability to determine information about a function and its derivatives from points on a curve.
Graphs and concavity
Ten questions, with answers, which test the ability to determine the intervals on which the interval is concave upward or downward, and the inflection points.
Quick revision
A HSC style question without solution.

Functions and second derivatives
A graphical presentation of a function and its second derivative, with suggestions for further investigation. (Mathview)
Geometric applications of the derivative
A synopsis of differential calculus, with links to true/false quiz.
Graphical calculator demo - functions and derivatives for TI86
An animated presentation that provides step by step instructions to draw a function and its derivative on a graphics calculator. (Flash)
Turning points & concavity
A summary of differentiable functions, with questions, links to answers, and links to proofs of some theorems.
Using zoom function to establish graph features
An investigation exercise to observe features of a function by 'zooming in' several times near the origin and at some other point of the graph. (MathView)