HSC Mathematics. The smart way to prepare for your HSC.

This course is the first in a series of four Mathematics Extension 1 courses and provides review of key content and skills from the Mathematics Extension 1 Preliminary course. It also covers initial concepts from the Mathematics Extension 1 HSC course. The topics addressed include introduction to vectors, further operations with vectors and proof by mathematical induction. Study skills and examination techniques will also be emphasised.

Other courses in this series include HSC Mathematics Preparation – Extension 1 (Part 2) (April) and HSC Mathematics Preparation – Extension 1 (Part 3) (July). You do not need to attend all three parts in order to benefit.

Outcomes

By the end of this course, you should be able to:

• sketch graphs that are reciprocals, square roots, absolute values, products or sums of given functions
• solve inequalities using algebraic and graphical techniques
• use algebraic and graphical concepts in the modelling and solving of problems involving to functions and their inverses
• understand and use parametric representation of lines, parabolas and circles
• use the remainder and factor theorems to solve problem involving polynomials
• solve problems using the relationships between the roots and coefficients of polynomial equations, graph polynomials and determine the multiplicity of roots of a polynomial equation<