Linear Algebra

Description

Provides an introduction to modern algebra through a detailed study of linear algebra. Thus students acquire fresh understanding of the algebraic ideas underlying modern mathematics - which is especially useful for those intending to teach mathematics - and at the same time learn about an important branch of mathematics with applications throughout the Sciences, Engineering and Information Technology. This course contains essential background for many 3000-level Mathematics courses.

Availability

Callaghan Campus

  • Semester 2 - 2015

Learning Outcomes

1. An in-depth knowledge of the subject of linear algebra.

2. An understanding of what constitutes a rigorous mathematical argument and how to use reasoning effectively to solve problems.

Content

  • Vector spaces, subspaces, linear independence, bases, dimension.
  • Inner product spaces and orthogonality.
  • Linear transformations, range, kernel, eigenvalues and eigenspaces.
  • Matrices of linear transformations, change of basis, diagonalisation.
  • Matrix groups

Assumed Knowledge

MATH1120 or MATH1220

Assessment Items

Written Assignment: Assignments

Formal Examination: Examination

Quiz: Quiz in-class

Contact Hours

Lecture

Face to Face On Campus 3 hour(s) per Week for Full Term

Tutorial

Face to Face On Campus 2 hour(s) per Week for Full Term