Stage 6 Mathematics Extension 1

1 unit in each of Preliminary and HSC

Board Developed Course (Category A)

Exclusions: Standard Mathematics

Prerequisites

For students who intend to study the Mathematics Extension 1 course, it is recommended that they study the Stage 5.3 optional topics (identified by #) Curve Sketching and Polynomials, Functions and Logarithms, and Circle Geometry of Mathematics Years 7–10 Syllabus.

Course Description

The content of this course and its depth of treatment indicate that it is intended for students who have demonstrated a mastery of the skills of Stage 5 Mathematics and are interested in the study of further skills and ideas in mathematics. The course is intended to give these students a thorough understanding of and competence in aspects of mathematics, including many which are applicable to the real world. It has general educational merit and is also useful for concurrent studies of science, industrial arts and commerce. The course is a recommended minimum basis for further studies in mathematics as a major discipline at a tertiary level and for the study of mathematics in support of the physical and engineering sciences. Although the course is sufficient for these purposes, students of outstanding mathematical ability should consider undertaking the Mathematics Extension 2 course.

Main Topics Covered:

Preliminary Course

• TOPIC: Functions

o Further Work with Functions

o Polynomials

• TOPIC: Trigonometric Functions

o Inverse Trigonometric Functions

o Further Trigonometric Identities

• TOPIC: Calculus

o Rates of Change

• TOPIC: Combinatorics

o Working with Combinatorics

HSC Course

• TOPIC: Trigonometric Functions

o Trigonometric Equations

• TOPIC: Calculus

o Further Calculus Skills

o Applications of Calculus

• TOPIC: Proof

o Proof by Mathematical Induction

• TOPIC: Vectors

o Introduction to Vectors

• Statistical Analysis

o The Binomial Distribution

For more information about this course, please see: Mr Castellino, Mr Knight, Mrs Lynch