Number of Units: 1
Exclusions: Students must be doing Mathematics Advanced
Method of Delivery: St Luke’s
External Assessment: Exam
Contribution to ATAR: Yes
Course Description
This course is designed for those students who have demonstrated an extensive mastery of the skills of stage 5 Mathematics. The course is intended to give these 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 could consider undertaking the Mathematics Extension 2 course.
Topics
Preliminary Course
Topic: Functions
Further work with Functions
Polynomials
Topic: Trigonometric Functions
Further Trigonometric Identities
Topic: Combinatorics
Permutations and Combinations
The Binomial Theorem
HSC Course
Topic: Proof
Proof by Mathematical Induction
Topic: Vectors
Introduction to Vectors
Topic: Trigonometric Functions
Inverse Trigonometric Functions
Topic: Calculus
Further Calculus Skills
Further Application of Calculus
Topic: Statistical Analysis
The Binomial Distribution
Post School Options
Study of this course will support study in a career in physical or engineering sciences. Other possible careers with a mathematical background are: Finance, civil and structural engineering, computer science, applied sciences, education, medical services.