In this course, students will develop the mathematical understanding and skills to solve problems relating to:

• Combinatorics
• Vectors in the Plane
• Introduction to Proof

Combinatorics provides techniques that are useful in many areas of mathematics, including probability and algebra. Vectors in the plane provide new perspectives for working with two-dimensional space and introduce techniques extending to three-dimensional space in QCE Specialist Mathematics – Mathematical Induction, Further Vectors, Further Matrices and Further Complex Numbers. Introduction to proof provides the opportunity to summarise and extend students’ studies in deductive Euclidean geometry. Studying other topics in the course, including vectors and complex numbers, is greatly beneficial.

These three topics considerably broaden students’ mathematical experience and enhance their awareness of the breadth and utility of the subject. They contain procedures and processes that will be required for later topics. All these topics develop students’ ability to construct mathematical arguments and enable students to increase their mathematical flexibility and versatility.

Source – QCAA General Senior Syllabus 2019