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Mathematics Extension 2 (Year 12 only)
HSC Mathematics
Course Description
The course offers a suitable preparation for study of mathematics at tertiary level, as well as a deeper and more extensive treatment of certain topics than is offered in the other mathematics courses. It 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. The course provides a basis for progression to further study in mathematics or related disciplines where mathematics plays a vital role. Specifically, it 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.
All students studying the Mathematics Extension 2 course will sit for an HSC examination in both Extension 2 and in Extension 1. They will not sit an assessment for Advanced Mathematics.
1 unit additional to the Extension 1 course, for the HSC Board Developed Course. The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course and the Mathematics Advanced Year 12 course.
Prerequisites: The syllabus is designed for students with a special interest in mathematics who have shown that they possess special aptitude for the subject.
Main Topics Covered:
The Mathematics Extension 2 course content includes the entire Mathematics Advanced course, the entire Mathematics Extension 1 course and, in addition, contains five Topics, with the Topics divided into Subtopics (in brackets).
Year 12 only
- 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)
Assessment – HSC Course Only
The Year 12 formal school-based assessment program will consist of four assessment tasks :
- An assignment or investigation-style assessment
- Two in-class tests
- A formal end of course trial-HSC examination
