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Prerequisite
The Mathematics Extension 2 Year 12 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Advanced Year 11 course and the Mathematics Extension 1 Year 11 course. The Mathematics Extension 2 Year 12 course has also been constructed on the assumption that students are concurrently studying the Mathematics Advanced course and the Mathematics Extension 1 Year 12 course.
Exclusions:
Students may not study the Mathematics Extension 2 course in conjunction with the Mathematics Standard 1 or the Mathematics Standard 2 course.
Course Description
The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course and the Mathematics Advanced Year 12 course.
The study of Mathematics Extension 2 in Stage 6:
● enables students to develop strong knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
● provides opportunities to develop strong mathematical manipulative skills and a deep understanding of the fundamental ideas of algebra and calculus, as well as an awareness of mathematics as an activity with its own intrinsic value, involving invention, intuition and exploration
● provides opportunities at progressively higher levels for students to acquire knowledge, understanding and skills in relation to concepts within areas of mathematics that have applications in an increasing number of contexts
● provides a basis for progression to further study in mathematics or related disciplines and in which mathematics has a vital role at tertiary level
● provides an appropriate mathematical background for students whose future pathways will be founded in mathematics and its applications in such areas as science, engineering, finance and economics.
For whom is this subject intended
This course is designed for students with a special interest and highly skilled in mathematics.
Main Topics Covered
The Mathematics Extension 2 course is comprised of five Topics, with the Topics divided into Subtopics. The Topics and Subtopics are:
Year 12
Topic: Proof
The Nature of Proof
Further Proof by Mathematical Induction
Topic: Vectors
Further Work with Vectors
Topic: Complex Numbers
Introduction to Complex Numbers
Using Complex Numbers
Topic: Calculus
Further Integration
Topic: Mechanics
Applications of Calculus to Mechanics
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