Mathematics Advanced

Course Description

The Mathematics Advanced course is intended to give students who have demonstrated strong competency in the skills and outcomes of Stage 5.2/5.3 NSW Mathematics K-10 Syllabus an understanding of, and competence in, further aspects of mathematics, which are applicable in the real world. The calculus concepts that underpin this course form a strong basis for students looking to pursue further studies in science or finance at a tertiary level. Students who require substantial Mathematics at a tertiary level, supporting the physical sciences, computer science or engineering, should consider undertaking the Mathematics Extension 1 course or both the Mathematics Extension 1 and Mathematics Extension 2 courses in Year 12.

Main Topics Covered

Year 11 Course

• Working with Functions

• Trigonometry and Measure of Angles

• Trigonometric Functions and Identities

• Introduction to Differentiation

• Logarithms and Exponentials

• Probability and Discrete Probability Distributions

Year 12 Course

• Graphing Techniques

• Trigonometric Functions and Graphs

• Differential Calculus

• Applications of Differentiation

• Integral Calculus

• Modelling Financial Situations

• Descriptive Statistics and Bivariate Data Analysis

• Random Variables

Assessment: HSC Course

Assessment in the Year 12 course is a comparison between a student’s progressive internal assessment result and their HSC Examination performance. Up to 30% of the course content contains links to content that is also explored and assessed in the Mathematics Standard 2 course. The Year 11 course is assumed knowledge and may also be assessed in the HSC examination.

External Assessment

A three hour written examination accompanied by a reference sheet.

Internal Assessment

Component A is concerned with assessing a student’s content knowledge by demonstrating understanding, fluency and communication.

Component B is focused on assessing a student’s ability to problem solve and apply mathematical reasoning and justification.

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