Module overview
Behind many of today's engineering technologies—from finite element analysis and computer simulations to machine learning and robotics—lies the mathematics of linear algebra. This module develops a deep understanding of matrices and vector spaces, providing the mathematical tools that underpin modern computational engineering and data-driven technologies.
You will explore concepts including matrix operations, systems of equations, vector spaces, eigenvalues, eigenvectors and singular value decomposition, developing both intuitive understanding and mathematical confidence. Throughout the module, you will apply these ideas to a wide range of engineering problems, including structural analysis, numerical methods, optimisation, data analysis, machine learning and dynamic systems. Rather than studying mathematics in isolation, the emphasis is placed on understanding how these techniques enable engineers to solve real-world problems.
By the end of the module, you will have developed a powerful mathematical toolkit that supports advanced engineering analysis, computational modelling, artificial intelligence and many other areas of modern engineering practice.