Mathematics Extension 2 (HSC Only)
1-unit Year 12 (HSC) Board Developed Course
Prerequisites:
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 Stage 6 Mathematics Advanced, Mathematics Extension 1 and Mathematics Extension 2 courses form a continuum.
All students studying the Mathematics Extension 2 course will sit for an HSC examination.
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
Main Topics Covered:
The Mathematics Extension 2 course is comprised of five Topics, with the Topics divided into Subtopics. The Topics and Subtopics are:
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
School Fees: Nil