This module is the third in the series of four mathematical modules for students across the Faculty of Science. It covers vector calculus (used in the study of vector fields in subjects such as fluid dynamics and electromagnetism), time series and spectral analysis (a highly adaptable and useful mathematical technique in many science fields, including data analysis) and fluid dynamics (which has applications to the circulation of the atmosphere, ocean, interior of the Earth, chemical engineering, and biology). There is a continuing emphasis on applied examples, and the use of numerical computing software (Matlab).