Course

# QCE Specialist Mathematics – Mathematical Induction, Further Vectors, Further Matrices and Further Complex Numbers

3.1 Complex Numbers
3.2 Principle of Mathematical Induction
3.3 Vector Applications

31 Lessons

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

• Proof by mathematical Induction
• Vectors and Matrices
• Complex Numbers 2

Proof by mathematical induction continues the developmental concept of proof from QCE Specialist Mathematics – Combinatorics, Vectors and Proof and QCE Specialist Mathematics – Complex Numbers, Trigonometry, Functions and Matrices. QCE Specialist Mathematics – Combinatorics, Vectors and Proof introduced a study of vectors with a focus on vectors in two-dimensional space. QCE Specialist Mathematics – Complex Numbers, Trigonometry, Functions and Matrices introduced complex numbers; this course extended the study of complex numbers to include complex arithmetic using the polar form.

In this course, students explore applications of matrices, study three-dimensional vectors, and are introduced to vector equations and vector calculus, with the latter extending students’ knowledge of calculus from Mathematical Methods. Cartesian and vector equations, together with equations of planes, enable students to solve geometric problems and problems involving motion in three-dimensional space.

These topics build on prior knowledge to enable a greater depth of analytical thinking and metacognition.

Source – QCAA General Senior Syllabus 2019

Lessons