The mathematics advanced course is a calculus-based course focused on developing student awareness of mathematics as a unique and powerful way of viewing the world to investigate order, relation, pattern, uncertainty and generality.
The course provides students with the opportunity to develop ways of thinking in which problems are explored through observation, reflection and reasoning.
The mathematics extension 1 Year 11 course includes the mathematics advanced Year 11 course. The mathematics extension 1 Year 12 course includes the mathematics advanced Year 12 course.
All students studying the mathematics advanced course will sit for an HSC examination.
Learning maths advanced
The course is intended for students who have demonstrated a competence in the Mathematics 5.3 course in Stage 5. Especially real numbers, algebraic techniques, coordinate geometry, trigonometry and deductive geometry.
This course is a sufficient basis for further studies in mathematics as a minor discipline at tertiary level. These tertiary studies include life sciences, economics, business, finance, technology, psychology and education. Students who require more substantial mathematics at a tertiary level supporting the physical sciences, computer science or engineering should study one or both of the mathematics extension 1 and 2 courses.
Stage 6
All students studying the mathematics advanced course will sit for an HSC examination.
Prerequisites: The mathematics advanced Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the mathematics Years 7–10 Syllabus and in particular, the content and outcomes of all sub-strands of Stage 5.1 and Stage 5.2, and the following sub-strands of Stage 5.3
What skills will I gain from this subject?
Specific objectives of the course are:
- to give an understanding of important mathematical ideas such as variable, function, limit, etc, and to introduce students to mathematical techniques which are relevant to the real world.
- to understand the need to prove results, to appreciate the role of deductive reasoning in establishing such proofs, and to develop the ability to construct these proofs.
- to enhance those mathematical skills required for further studies in mathematics, the physical sciences and the technological sciences.
This course offers students a treatment of the following:
algebra; functions; trigonometry; probability; series and sequences and applications and calculus of exponential, logarithmic and trigonometric functions, including applications of calculus to the physical world