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Unit Summary
Unit type
UG Coursework Unit
Credit points
12
AQF level
Level of learning
Introductory
Former School/College
Pre-requisites
Unit aim
This unit develops the mathematical fundamentals required for engineering, with topics including vectors, matrices, differentiation and integration. The emphasis in the unit is on developing skills in these areas within an engineering context and applying these skills to a range of engineering applications.
Unit content
- Concepts of differentiation
- Techniques of differentiation
- Applications of differentiation
- Concepts of integration
- Techniques of integration
- Applications of integration
- Matrices and determinants
- Inverse matrices and linear systems
- Eigenvalues and applications of matrices
- Vectors: concepts and operations
- Vectors: geometry and applications
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: | GA1 | GA2 | GA3 | GA4 | GA5 | GA6 | GA7 | |
---|---|---|---|---|---|---|---|---|
1 | Demonstrate a sound knowledge and understanding of the calculus concepts of differentiation and integration | |||||||
2 | Demonstrate a sound knowledge and understanding of the linear algebra concepts of matrices and vectors | |||||||
3 | Display a proficiency in applying mathematical techniques to engineering application problems | |||||||
4 | Communicate mathematical ideas, processes and results effectively |
On completion of this unit, students should be able to:
-
Demonstrate a sound knowledge and understanding of the calculus concepts of differentiation and integration
- GA4:
-
Demonstrate a sound knowledge and understanding of the linear algebra concepts of matrices and vectors
- GA4:
-
Display a proficiency in applying mathematical techniques to engineering application problems
- GA2:
- GA4:
-
Communicate mathematical ideas, processes and results effectively
- GA6:
Prescribed texts
- Glyn James, 2015, Modern Engineering Mathematics, 5th edn, Pearson , United Kingdom. ISBN: 9781292080734.