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Abstract
This paper takes a critical look at the present state of mathematical education of engineers. It then suggests the improvements needed and proposes ways in which these can be implemented. In this part of the paper, attention is concentrated on identifying the problems and outlining a course developed by the authors in an attempt to meet the criteria for improvement. The paper is concluded by an examination of the refinements needed in this course to fully meet the required objectives. In Part II the problems in implementing such a course are discussed and examples given of the integrated approach it employs. Finally, developments to the course are suggested.