 Maths Courses - 11 & 12
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Prerequisites: Students have achieved the outcomes in the core of the Standard Mathematics course for the School Certificate, together with the recommended options Trigonometry and Further Algebra.
Course Description : General Mathematics focuses on mathematical skills and techniques which have direct application to everyday activity. The course is fully prescribed, and is designed to support TAFE and other vocational courses. It provides an appropriate mathematical background for students who do not wish to pursue the formal study of mathematics at tertiary level, while giving a strong foundation for university study in the areas of business, humanities, nursing and paramedical sciences.
Main Topics Covered - Preliminary/ HSC
- Financial Mathematics
- Data Analysis
- Measurement
- Probability
- Algebraic Modelling
Prerequisites: Students must have achieved the outcomes in the core of the Intermediate Mathematics course for the School Certificate, along with the recommended options.
Course Description: The course is a sufficient basis for further studies in mathematics as a minor discipline at tertiary level in support of courses such as the life sciences or commerce. Students who require substantial mathematics at a tertiary level, supporting the physical sciences, computer science or engineering, should undertake the Mathematics Extension 1 course or both the Mathematics Extension 1 and Mathematics Extension 2 courses.
Main Topics Covered
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Preliminary |
HSC |
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Basic Algebra and Arithmetic |
Linear Functions and Lines |
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Real Functions |
Plane Geometry |
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Trigonometry |
Geometrical Applications of Differentiation |
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Linear Functions and Lines |
Integration |
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The Quadratic Polynomial and the Parabola |
Logarithmic and Exponential Functions |
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Series and Applications |
Trigonometric Functions |
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Plane Geometry |
Applications of Calculus to the Physical World |
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The Tangent to a Curve and the Derivative of a function |
Probability |
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Series and Applications |
Prerequisites: Students must have achieved the outcomes in the core of the Advanced Mathematics course for the School Certificate, along with the recommended options.
Course Description: The course is intended to give students a thorough understanding of and competence in aspects of mathematics, including many which are applicable to the real world. The course is a recommended minimum basis for further studies in mathematics as a major discipline at a tertiary level and for the study of mathematics in support of the physical and engineering sciences. Although the course is sufficient for these purposes, students of outstanding mathematical ability should consider undertaking the Mathematics Extension 2 course.
Main Topics Covered
| Preliminary Course | HSC Course |
| Basic Arithmetic and Algebra | Integration |
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Geometry of a Circle |
Application of Calculus to the Physical World, including Simple Harmonic Motion and Projectile Motion. |
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Further trigonometry |
Inverse Functions and Inverse Trigonometric Functions |
| Linear Functions and Lines | Binomial Theorem |
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The Parabola and Parametric Equations |
Induction |
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Permutations, Combinations and Further Probability |
Iterative methods for numerical estimation of the roots of a polynomial equation |
| Mathematical Induction |
Further probability |
| Polynomials |
The course is designed for students with a special interest in mathematics who have shown that they possess special aptitude for the subject.
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 other mathematics courses. It represents a distinctly high level in school mathematics involving the development of considerable manipulative skill and a high degree of understanding of the fundamental ideas of algebra and calculus.
Main Topics Covered
