Mathematics Extension 2

Course Description

This course offers an extensive preparation for the further study of mathematics at tertiary level, as well as a deeper and more extensive treatment of certain topics than is offered in other Mathematics courses. It represents a distinctly high level of high school Mathematics involving the development of strong manipulative skills and a high degree of understanding of the fundamental ideas of algebra and mathematical calculus. It extends students’ knowledge and understanding through exploration of new areas of mathematics not previously seen.

Main Topics Covered

Year 12 Course

• The Nature of Proof

• Further Proof by Mathematical Induction

• Further Work with Vectors

• Introduction to Complex Numbers

• Using Complex Numbers

• Further Integration

• Applications of Calculus to Mechanics

Assessment: HSC Course

Assessment in the HSC course is a comparison between a student’s progressive internal assessment result and their HSC Examination performance. Assessment in this course is based on all topics covered in Year 12.

External Assessment

The Mathematics Extension 2 paper is a three hour written examination accompanied by a reference sheet.

Mathematics Extension 2 students will be required to attempt TWO examination papers: the Mathematics Extension 1 examination paper AND the Mathematics Extension 2 examination paper.

Internal Assessment

Component A is concerned with assessing a student’s content knowledge by demonstrating understanding, fluency and communication.

Component B is focused on assessing a student’s ability to problem solve and apply mathematical reasoning and justification.

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