UG Coursework Unit
Level of learning
have completed MAT71215 - Introductory Algebra and Calculus OR MAT10001 - Foundation Mathematics OR be admitted to 3507285 - Bachelor of Engineering (Honours) in Civil Engineering OR 3507328 - Bachelor of Engineering (Honours) in Mechanical Engineering OR 3507250 - Bachelor of Engineering (Honours) in Coastal Systems Engineering
Introduces students to the theory, techniques and applications of linear algebra. Topics include matrices and determinants, vectors, vector and inner product spaces, linear transformations.
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.
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.
|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|
|2||demonstrate a proficiency in applying techniques from linear algebra|
|3||apply appropriate techniques from linear algebra to 'real world' problems|
|4||communicate mathematical ideas, processes and results effectively at different levels of formality.|
On completion of this unit, students should be able to:
demonstrate a sound knowledge and understanding of the concepts of linear algebra
demonstrate a proficiency in applying techniques from linear algebra
apply appropriate techniques from linear algebra to 'real world' problems
communicate mathematical ideas, processes and results effectively at different levels of formality.
- Anton, H & Rorres, C, 2014, Elementary linear algebra with applications, 11th edn, Wiley, Hoboken, NJ.