Not currently offered
Course code



10 units


2000 level

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.


Not currently offered.

This Course was last offered in 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

The University of Newcastle acknowledges the traditional custodians of the lands within our footprint areas: Awabakal, Darkinjung, Biripai, Worimi, Wonnarua, and Eora Nations. We also pay respect to the wisdom of our Elders past and present.