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Unit Summary

Unit type

UG Coursework Unit

Credit points

12

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:

  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

Prescribed texts

  • No prescribed texts.
Prescribed texts may change in future teaching periods.