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Written for students without mathematics A level who are entering an engineering or applied science degree via a preliminary year. The book introduces the basic ideas of mathematics through applications in physics and engineering, providing a firm foundation in functions and calculus for the subsequent degree. Students are encouraged to use computers and calculators effectively and to develop skills in mathematical modelling. Each chapter begins with a set of objectives for achievements in understanding, and ends with an objective test to reinforce the learning process. In addition, the examples and exerciese within the chapter are geared to the engineering/technical degree for which the reader is preparing.