Mathematics Advanced

MATHEMATICS ADVANCED (BDC)

PRELIMINARY THEN HSC 2 UNIT CATEGORY A HSC and ATAR

Prerequisite

The Mathematics Advanced Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the NSW Mathematics Years 7–10 Syllabus and in particular, the content and outcomes of all substrands of Stage 5.1 and Stage 5.2, the following substrands of Stage 5.3:

• Algebraic techniques

• Surds and indices

• Equations

• Linear relationships

• Trigonometry and Pythagoras’ theorem

• Single variable data analysis

• and at least some of the content from the following substrands of Stage 5.3:

• Non-linear relationships

• Properties of Geometrical Shapes.

Exclusions:

Students may not study the Mathematics Advanced course in conjunction with the Mathematics Standard 1 or the Mathematics Standard 2 course.

Course Description

The course is intended to give students who have demonstrated broad competence in the skills of Stage 5 Mathematics, an understanding of and competence in further aspects of mathematics which are applicable to the real world. It has general educational merit and is also useful for concurrent studies in science and commerce. 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 Extension courses.

For whom is this subject intended

This subject is a necessary pre-requisite for a number of Mathematics-based courses at Tertiary level. It is also useful for concurrent studies in Science and Economics.

Main Topics Covered

Year 11 Course

Topic: Functions: Working with Functions

Topic: Trigonometric Functions: Trigonometry and Measure of Angles. Trigonometric Functions and Identities.

Topic: Calculus: Introduction to Differentiation

Topic: Exponential and Logarithmic Functions: Logarithms and Exponentials

Topic: Statistical Analysis: Probability and Discrete Probability Distributions

Year 12 Course

Topic: Functions: Graphing Techniques

Topic: Trigonometric Functions: Trigonometric Functions and Graphs

Topic: Calculus: Differential Calculus. The Second Derivative. Integral Calculus.

Topic: Financial Mathematics: Modelling Financial Situations

Topic: Statistical Analysis: Descriptive Statistics and Bivariate Data Analysis. Random Variables.