Mathematics – Advanced

Prerequisites:This course is designed for students who have studied Level three Mathematics and possibly exceptional Level two students. 2 Unit Related Mathematics is generally a sufficient basis for further studies at a tertiary level which require Mathematics as a Minor discipline.

Course Description: The course is intended to give students who have demonstrated general competence in the skills of Stage 5 Mathematics, an understanding of and competence in some further aspects of Mathematics which are applicable to the real world. It has general educational merit and is also useful for concurrent studies in Science and Commerce. It is a sufficient basis for further studies in mathematics as a minor discipline at tertiary level in support of courses such as the life sciences or commerce. Students who require substantial mathematics at a tertiary level supporting the Physical Sciences, Computer Science or Engineering should undertake the 3 or 4 Unit courses.

Main Topics Covered:

Preliminary Course

• Basic arith metic and algebra

• Real functions

• Trigono metric ratios

• Linear functions

• The quadratic polynomial and
the parabola

• Plane geo metry

• Tangent to a curve and
derivative of a function

 

HSC Course:

• Co-ordinate methods in geometry

• Applications of geo metrical
properties 

• Geo metrical applications of
differentiation

• Integration

• Trigono metric functions

• Logarithmic and exponential
functions

• Applications of calculus to the
physical world

• Probability

• Series and Series applications

Al Amanah College
Bankstown Campus
2 Winspear Avenue
Bankstown NSW 2200
P: +61 2 9708 1220
Liverpool Campus
55 Speed Street
Liverpool NSW 2170
P: +61 2 9822 8022
E: admin@alamanah.nsw.edu.au
www.alamanah.nsw.edu.au
Salamah College
40 Hector Street
Chester Hill NSW 2162
P: +61 2 8760 1000
E: admin@salamah.nsw.edu.au
www.salamah.nsw.edu.au
Glenroy Private
93 Daley Street
Glenroy VIC 3046
P: (03) 9306 7988
E: admin@glenroyprivate.vic.edu.au