Dr Andrew Bruce

Research Highlights

1. Bruce, A. (2022). Semiheaps and Ternary Algebras in Quantum Mechanics Revisited. Universe, 8(1), 56

   https://doi.org/10.3390/universe8010056, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59243

All Research

• EG-113 Engineering Analysis 1A (Aero & Civil)

  This module (in combination with Engineering Analysis 2A) provides the essential grounding in mathematical analysis techniques for engineering students. This module ensures that all students have a suitable level of analytical skills for subsequent engineering modules.

• EG-115 Engineering Analysis 2A (Aero & Civil)

  Module Aims: this module (in combination with Engineering Analysis 1A) provides further grounding in mathematical analysis techniques for Engineering students. The module extends the understanding into more complex analytical methods, focusing on Taylor series, ordinary differential equations, complex numbers, vector algebra and multi-variable functions.

• EG-118 Engineering Analysis 1C (Chem & Med)

  This module (in combination with Engineering Analysis 2C) provides the essential grounding in mathematical analysis techniques for engineering students. This module ensures that all students have a suitable level of analytical skills for subsequent engineering modules.

• MA-010 Further Fundamental Mathematics

  This module introduces students to complex numbers and ordinary differential equations.

• MA-282 Game Theory and Optimization

  Game theory is about strategies for making decisions, in cases where there are two or more players. The complication is that the possible choices for the other players may influence a particular player's choice of strategy. Economics has many examples of the application of game theory, but it has also been applied to areas as diverse as global politics (e.g. the Cuban missile crisis) and evolutionary biology (e.g. the hawks and doves game). Optimisation is about finding the optimum strategy (e.g. maximising profit for a company) by maximising or minimising a function in a specified domain. Again it has applications in economics, but it has also been used in engineering design (e.g. genetic algorithms were used to design the superconducting magnets in the CERN particle accelerator) and molecular biology (modelling shapes of molecules by minimising energy).