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.
- Semester 2 - 2015
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.
- 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
Face to Face On Campus 3 hour(s) per Week for Full Term
Face to Face On Campus 2 hour(s) per Week for Full Term