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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
Module 1: Further Topics in Differentiation and Integration
Module 2: Sequences and Series
Module 3: Power Series
Module 4: Linear Algebra and Vector Spaces (including Basis and Dimension)
Module 5: Fundamental Spaces and Linear Transformations
Module 6: Inner Product, Diagonalisation and Orthogonality
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.
- Prescribed text information is not currently available.