Unit description
Introduces students to the theory, techniques and applications of linear algebra. Topics include matrices and determinants, vectors, vector and inner product spaces, linear transformations.
Unit content
Topics 1 and 2: Matrices and determinants - Matrix definitions and operations - Inverse matrices - Determinants, evaluation and properties - Diagonal, triangular and symmetric matrices.Topics 3 and 4: Vectors - Definitions - Basic operations and algebra of vectors.
Topics 5 to 8: Vector spaces Euclidean and general vector spaces and subspaces - Linear independence - Basis and dimension - Linear transformations.
Topic 9: Inner product spaces - Inner product - Orthonormal bases.
Topic 10: Eigenvalues and eigenvectors - Eigenvalues and eigenvectors - Diagonalisation and orthogonal diagonalisation.
Learning outcomes
Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.
Learning outcomes and graduate attributes
| On completion of this unit, students should be able to: | GA1 | GA2 | GA3 | GA4 | GA5 | GA6 | GA7 | |
|---|---|---|---|---|---|---|---|---|
| 1 | demonstrate a sound knowledge and understanding of the concepts of linear algebra | Intellectual rigour | Knowledge of a discipline | Communication and social skills | ||||
| 2 | demonstrate a proficiency in applying techniques from linear algebra | Intellectual rigour | Knowledge of a discipline | Communication and social skills | ||||
| 3 | apply appropriate techniques from linear algebra to 'real world' problems | Intellectual rigour | Knowledge of a discipline | Communication and social skills | ||||
| 4 | communicate mathematical ideas, processes and results effectively at different levels of formality. | |||||||
Prescribed texts
Session 2
- Anton, H & Rorres, C, 2011, Elementary linear algebra with applications, 10th edn, Wiley, Hoboken, NJ.
Teaching and assessment
Online
| Teaching method |
| Tutorial online 1 hour (8 weeks) |
| Assessment | |
| Quiz | SR |
| Applied and theoretical problems. Mathematical calculations | 25% |
| Applied and theoretical problems. Mathematical calculations | 25% |
| Exam: closed book | 50% |
Fee information
Domestic
Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.
Commencing 2014 Commonwealth Supported only. Student contribution band: 2
Fee paying courses
For POSTGRADUATE or UNDERGRADUATE full fee paying courses please check Domestic Postgraduate Fees OR Domestic Undergraduate Fees
International
Please check the international course and fee list to determine the relevant fees.