School of Mathematics and Statistics (SoMaS)

MAS380 Computational Engineering Mathematics

To provide the necessary mathematical framework to understand advanced computational methods for the solution of complex engineering problems.

There are no prerequisites for this module.
No other modules have this module as a prerequisite.

Outline syllabus

• Tensor algebra and calculus
• Derivation of the equation of equilibrium for solid bodies and the governing equations for fluid motions
• Finite difference approximations to simple partial/ordinary differential equations.

Office hours

Aims

• To develop the ability to construct mathematical formulation for physical or engineering problems.
• To develop the ability to find solutions to engineering problems using numerical methods.

Learning outcomes

• Understand and be able to do simple calculations and derivations involving tensors
• Understand and be able to derive the basic equations of continuum mechanics
• Understand and be able to derive the basic equations of fluid mechanics
• Have a basic understanding of how to use basic Finite Difference methods in the context of complex engineering problems

Teaching methods

Lectures and tutorials.

Assessment

Formal three-hour examination (four questions from five).

Full syllabus

• Vector calculus and partial differential equations
• Finite difference approximations
• Tensor algebra and calculus, index notation
• Stress tensor, equation of equilibrium for deformable solid body, and stress-strain relations
• Governing equations for fluid motions

Reading list