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.
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.
MATH1120 or MATH1220
Written Assignment: Assignments
Formal Examination: Examination
Quiz: Quiz in-class
Quiz: Onlne quiz
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