Abstract
The skills that industry and commerce require of a mathematician are not confined to analytic mathematical techniques. The ability to create a practicable mathematical model of a ‘ real’ problem and to relate the mathematical solution of the model to the original problem are also essential. An appreciation of the dynamics of working as a member of an organization is important, as is also the recognition that there exist non‐mathematical constraints on the possible approaches to the solution of the problem. A new course has been designed to give students experience in these fields by using a hybrid of the case study and simulation techniques. Problems will be presented to students as a package of memoranda, reports, drawings, technical notes, etc., and the student will be expected to assume the role of a mathematician in a company and report to his tutor who plays the role of his superior. In order for the case studies to be as realistic as possible, selected companies were approached for source material for the studies. Two examples of case studies are reproduced in the Appendix.

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