COURSE CURRICULUM

The MSc in Applied Mathematics at the University of Manchester provides students with a rigorous and comprehensive foundation in advanced mathematical techniques, computational methods, and applied modelling. The program begins with core modules including Introduction to Uncertainty Quantification, Mathematical Methods for Partial Differential Equations, Scientific Computing, and Transferable Skills for Applied Mathematicians, providing 60 credits that establish essential theoretical knowledge and practical skills. Students then choose optional modules such as Dynamical Systems, Stability Theory, Continuum Mechanics, Transport Phenomena and Conservation Laws, and Approximation Theory and Finite Element Analysis, allowing them to specialise in areas relevant to their research or career interests. The course culminates in a 60-credit MSc dissertation, supervised by faculty from the Applied Mathematics group, offering opportunities to engage with cutting-edge problems and apply mathematical methods to real-world scenarios, including industrial applications. The program emphasizes both theoretical understanding and computational proficiency, preparing graduates for careers in research, industry, or further doctoral study. Through a combination of core theory, applied options, and a substantial research project, students gain the expertise to analyse, model, and solve complex problems across disciplines such as fluid dynamics, material science, data science, and biomechanics, equipping them to contribute effectively to both academic and industrial settings.