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Unit Summary

Unit type

UG Coursework Unit

Credit points

12

AQF level

7

Level of learning

Introductory

School/College

School of Environment, Science and Engineering

Unit aim

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 and Techniques of Differentiation

Applications of Differentiation

Concepts and Techniques of Integration

Applications of Integration

Introduction to Differential Equations

Matrices and Determinants

Inverse Matrices and Linear Systems 

Eigenvalues and Eigenvectors

Operations and Applications of Vectors

 

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.

GA1: Intellectual rigour, GA2: Creativity, GA3: Ethical practice, GA4: Knowledge of a discipline, GA5: Lifelong learning, GA6: Communication and social skills, GA7: Cultural competence
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 Knowledge of a discipline
2 demonstrate a sound knowledge and understanding of the linear algebra concepts of matrices and vectors Knowledge of a discipline
3 display a proficiency in applying fundamental mathematical techniques to engineering application problems Creativity Knowledge of a discipline
4 communicate mathematical ideas, processes and results effectively. Communication and social skills

On completion of this unit, students should be able to:

  1. demonstrate a sound knowledge and understanding of the calculus concepts of differentiation and integration
    • GA4: Knowledge of a discipline
  2. demonstrate a sound knowledge and understanding of the linear algebra concepts of matrices and vectors
    • GA4: Knowledge of a discipline
  3. display a proficiency in applying fundamental mathematical techniques to engineering application problems
    • GA2: Creativity
    • GA4: Knowledge of a discipline
  4. communicate mathematical ideas, processes and results effectively.
    • GA6: Communication and social skills