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Finite Mathematics

Overview

  • Credit value: 30 credits at Level 6
  • Convenor and tutor: Professor Steven Noble
  • Assessment: a short untimed quiz (10%), one-hour test (25%), problem set (15%) and two-hour examination (50%)

Module description

In this module we will look at the mathematics of finite systems, including the following techniques and applications, all of which have many real-world applications:

  • Linear programming
  • Game theory
  • Social choice

Learning objectives

By the end of this module, you will be able to:

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