This module serves as an introduction to algebraic methods and linear algebra methods. These are central in modern mathematics, having found applications in many other sciences and also in our everyday life.
Indicative module content:
Basic set theory, Functions and Relations, Systems of linear equations and Gaussian elimination, Matrices and Determinants, Vector spaces and Linear Transformations, Diagonalisation, Orthogonality.
Total contact hours: 49
Private study hours: 101
Total study hours: 150
Method of assessment
80% examination and 20% coursework.
A. Chetwynd & P. Diggle: Discrete Mathematics. Butterworth Heinemann, 1995.
A.G. Hamilton: Linear algebra: an introduction with concurrent examples. C.U.P, Cambridge, 1989.
L. Robbiano: Linear Algebra for everyone. ISBN: 978-88-470-1839-6 (online)
W.D. Wallis: A beginner's Guide to Discrete Mathematics. ISBN: 978-0-8176-8286-6 (online)
See the library reading list for this module (Canterbury)
The intended subject specific learning outcomes.
On successfully completing the module students will be able to:
1 demonstrate knowledge of the underlying concepts and principles associated with basic set theory and linear mathematics;
2 demonstrate the capability to make sound judgements in accordance with the basic theories and concepts in the following areas, whilst demonstrating a reasonable level of skill in calculation and manipulation of the material: basic set theory, functions, systems of linear equations, matrices, vector spaces and bilinear forms;
3 apply the underlying concepts and principles associated with basic set theory and linear mathematics in several well-defined contexts, showing an ability to evaluate the
appropriateness of different approaches to solving problems in this area;
4 make appropriate use of Maple.
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