Mathematics Extension 1 - Year 12

Mathematics Extension 1

Co-requisites: Studied in conjunction with HSC 2 Unit Mathematics Advanced to form 3 Units for the HSC.

Pre-requisites: Preliminary 2 Unit Mathematics Advanced and Preliminary Mathematics Extension 1.

Exclusions: HSC 2 Unit Mathematics Standard

Contact

Head of Department: Graham Hanlon
Email: ghanlon@barker.nsw.edu.au

Year 12

Mathematics Extension 1

The Mathematics Extension 1 course is primarily Calculus-based and students need excellent algebraic and curve sketching skills to succeed. Within the course, many of the topic areas of the Mathematics Advanced course are extended further or explored in much greater detail. It provides a sound basis for the further study, as a major discipline, of Mathematics at a tertiary level. For example, it may be appropriate for those students who wish to pursue tertiary studies in some of the Physical Sciences, Computer Science and certain Engineering courses. The responsibility rests with the student to check any tertiary course requirements concerning prerequisites or assumed knowledge.

This course moves at a very fast pace with limited time for consolidation of each concept. It builds quickly in difficulty with each new topic utilising the concepts previously studied. Even highly capable students who do not apply themselves appropriately or consistently enough can find this course a significant challenge. Hence, any student who chooses this course should carefully consider their current level of application as this course places the highest of demands upon its participants.

Students who have demonstrated outstanding mathematical ability and results in the Mathematics Extension 1 course during Year 11 should also consider the significant benefits of undertaking the Mathematics Extension 2 course in Year 12.

Preliminary Course Topics

• Functions
• Polynomials
• Inverse Trigonometric Functions
• Further Trigonometric Identities
• Rates of Change
• Combinatorics

HSC Course Topics

• Mathematical Induction
• Vectors
• Trigonometric Equations
• Further Calculus Skills
• Applications of Calculus
• Binomial Distribution

Assessment Structure

The assessment for Mathematics Extension will include a mix of in-class tests, investigation-style tasks and an examination.

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