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Finite Mathematics

Overview

  • Credit value: 30 credits at Level 6
  • Convenor and tutor: Andrew Bowler
  • Assessment: short, problem-based assignments (20%) and a three-hour examination (80%)

Module description

In this module we will look at the mathematics of finite systems. It will include techniques and applications of linear programming, game theory, difference equations, graphs and networks, all of which have many real-world applications.

Indicative module syllabus

  • Linear Programming
  • Game Theory
  • Difference Equations
  • Graphs and Networks

Learning objectives

By the end of this module, you will have:

  • knowledge and understanding of, and the ability to use, mathematical and/or statistical techniques
  • knowledge and understanding of a range of results in mathematics
  • an appreciation of the need for proof in mathematics, and the ability to follow and construct mathematical arguments
  • an awareness of the use of mathematics and/or statistics to model problems in the natural and social sciences, and the ability to formulate such problems using appropriate notation
  • an understanding of the importance of assumptions and an awareness of where they are used and the possible consequences of their violation
  • an ability to present, analyse and interpret data
  • knowledge and understanding of a range of modelling techniques, their conditions and limitations, and the need to validate and revise models
  • a deeper knowledge of some particular areas of mathematics, in particular, linear algebra and group theory.