Mathematics is the foundation of all engineering disciplines, providing the essential tools required to analyse, model, and solve real-world engineering problems. This Advanced Engineering Mathematics unit equips learners with the mathematical techniques necessary to tackle challenges in signal processing, circuit analysis, control systems, mechanical vibrations, and beyond. Through a structured exploration of sequences and series, ordinary differential equations (ODEs), Laplace and Fourier transforms, learners will develop both theoretical knowledge and practical problem-solving skills.
By working through progressively challenging mathematical concepts, learners will gain confidence in applying analytical and computational techniques to solve engineering-related problems. The unit is designed to bridge the gap between theory and application, ensuring students not only understand mathematical principles but also recognise their relevance in engineering problem-solving, system modelling, and performance analysis.
Through mastering the mathematical techniques in this unit, learners will be well-prepared for advanced engineering applications and further studies in disciplines such as electrical, mechanical, and systems engineering.
During this unit, you will cover the below four learning outcomes:
LO1: Solve mathematical problems involving series expansion, convergence and orthogonality
LO2: Solve mathematical problems involving Ordinary Differential Equations (ODEs)
LO3: Solve mathematical problems involving Laplace Transforms in an engineering context
LO4: Solve mathematical problems involving Fourier Transforms in an engineering context
