This book provides students with a comprehensive and modern introduction to undergraduate mathematical modelling. Readers learn how to use mathematics to construct models for practical problems by using clearly defined techniques such as modelling using graphs, modelling using proportionality, and model fitting. Requiring only a background in single variable calculus, this text covers all phases of the mathematical modelling process, including creative and empirical model construction, model analysis, and model research. Students investigate practical problems from many academic disciplines, including engineering, operations research, and the management of life sciences.