Mathematics

Tutorials

Derivation of formula for integration by parts
An animated presentation of the derivation of the formula. (Flash)
Partial fractions
A synopsis of the topic with links to examples and graded exercises.

A set of HSC past papers & advice on the examination
Hints and answers from past exam papers (formerly '4 Unit') and past articles from Sydney Morning Herald advice to students.
Decompostion practice
A series of two questions on partial fractions with links to solutions and some more difficult exercises.
Further decomposition practice
A series of four questions on partial fractions with links to hints, solutions and some more difficult exercises.
Partial fractions questions
Problems, hints and solutions
Reduction formula questions
Problems, hints and solutions

Further integration techniques
A synopsis of integration techniques with examples of integration by parts.
Integration by partial fractions
A synopsis of the topic with an explanation on the method of splitting elementary fractions.
Integration by parts
A synopsis of the topic with a worked example.
Integration by parts (Java)
A synopsis of the topic with six exercises and links to the solutions.
Integration by parts (Visicalc)
A synopsis of the topic with ten exercises and links to the solutions.
Integration by substitution (Visicalc)
Problems, hints and solutions
Integration by trigonometric substitution (Visicalc)
A synopsis of the topic with ten exercises and links to the solutions.
Partial fractions
A synopsis of the topic with links to examples and exercises.
Reduction formula
A list of nine recursion formulas with links to the derivation of the formula.
Summary of Mathematics course integral calculus
A synopsis of the Mathematics course with examples.
The integrator (integrates any function + other applications)
'The Integrator' integrates any function, with links to other applications.