Compulsory

Programming and Numerical Methods (15 credits)

The aim of this module is:

  • to introduce the basic concepts of programming on the practical level;
  • to introduce, explain, and implement numerical methods for solving ordinary and partial differential equations of industrial importance.

Mathematical Modelling I (15 credits)

The aims of this module are:

  • to develop skills in the mathematical modelling of real life situations;
  • to develop the ability to work effectively in a group.

Fluid Mechanics (15 credits)

The aim of this module is:

  •  to derive the fundamental equations of fluid mechanics;
  • to develop students' expertise in solving simplified forms of these equations applicable to a variety of fluid flows;
  • to learn about some industrial and environmental applications of fluid mechanics.

Optional

Functional Analysis (15 credits)

The aim of this module is to create awareness of the power and range of abstract mathematical concepts through a basic introduction to the methods of functional analysis.

Asymptotic Methods (15 credits)

The aims of this module are:

  • to introduce the concept of small and large parameters in equations and how they can be exploited to simplify difficult mathematical problems;
  • to introduce a wide range of approximation techniques to analyse differential equations and integrals.

Stochastic Models in Finance (15 credits)

The aim of this module is to:

  • to provide students with a rigorous mathematical introduction to the modern financial theory of security markets in discrete and continuous time models
  • to give students a solid theoretical background in the derivatives industry in discrete and continuous time models.