Linear Programming, Symmetry and Groups

School of Mathematics

College of Engineering and Physical Sciences


Code 22491

Level of study Third/Final year

Credit value 20

Semester 1

Module description

This module presents a comprehensive theory of linear programming and its applications. Starting from geometrical interpretation it builds on basic knowledge of linear algebra and develops the simplex method and its variants (revised, two-phase) while simultaneously providing examples of practical managerial applications. It also creates the necessary platform for further management mathematics courses by fully presenting duality theory including complementary slackness. Advanced economic applications such as shadow prices or data envelopment analysis and alternative solution methods such as the internal point method are optional and at the discretion of the lecturer in charge.

Teaching and learning methods