The University of Newcastle, Australia
Available in 2020

Course handbook


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.

Availability2020 Course Timetables


  • Semester 2 - 2020

Learning outcomes

On successful completion of the course students will be able to:

1. Apply linear algebra to solve associated mathematical problems.

2. Construct rigorous, logical mathematical arguments involving linear algebra.

3. Solve mathematical problems by applying linear algebra and effective reasoning.


  • 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

Quiz: Onlne quiz

Contact hours



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


Face to Face On Campus 2 hour(s) per Week for 11 Weeks