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Westfields Sports High School

Westfields Sports High School

First In Australia

Telephone02 9604 3333

Emailwestfields-h.school@det.nsw.edu.au

Mathematics advanced

 

Course: Mathematics Advanced

Course No: 15255

2 units for each of Preliminary and HSC
Board Developed Course

Prerequisites: For students who 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

Mathematics Advanced

The course is intended to give students who have demonstrated general competence in the skills of Stage 5 Mathematics, and an understanding of and competence in some 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 Mathematics Extension 1 course or both the Mathematics Extension 1 and Mathematics Extension 2 courses.

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 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.

 

MAIN TOPICS COVERED

Preliminary Course

  • Working with Functions
  • Trigonometry and Measure of Angles
  • Trigonometric Functions and Identities
  • Introduction to Differentiation
  • Logarithms and Exponentials
  • Probability and Discrete Probability
  • Distributions

HSC Course

  • Trigonometric Functions and Graphs
  • Differential Calculus
  • The Second Derivative
  • Integral Calculus
  • Modelling Financial Situations
  • Descriptive Statistics and Bivariate Data Analysis
  • Random Variables