Availabilities:
| Location | Domestic | International |
|---|---|---|
| Online | N/A |
Unit Summary
Pre-requisites
Unit aim
Expands on the theory and techniques in Calculus and Linear Algebra. Topics include sequences and series, vector and inner product spaces, and linear transformations.
Unit content
Further Topics in Differentiation
Further Topics in Integration
Sequences and Series
Taylor Series
Vector Spaces and Subspaces
Vector Basis and Dimension
Fundamental Spaces
Linear transformations
Diagonalisation
Inner Product
Orthonormal Bases
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.
| On completion of this unit, students should be able to: | |
|---|---|
| 1 | use the concepts and techniques of calculus, such as sequences and series |
| 2 | formulate the concepts and techniques of linear algebra, such as vector and inner product spaces and transformations |
| 3 | proficiency in applying mathematical techniques within calculus and linear algebra to application problems |
| 4 | communicate mathematical ideas, processes and results effectively |
On completion of this unit, students should be able to:
- use the concepts and techniques of calculus, such as sequences and series
- formulate the concepts and techniques of linear algebra, such as vector and inner product spaces and transformations
- proficiency in applying mathematical techniques within calculus and linear algebra to application problems
- communicate mathematical ideas, processes and results effectively
Prescribed texts
- No prescribed texts.