Abstract
Some of the misconceptions in the minds of calculus students are due to faulty arguments used by teachers and authors of textbooks. An incoherent presentation of certain topics is almost universal in introductory calculus texts. The formula for the circumference of a circle is essential for the definition of radian measure, but its validity is generally taken for granted. 2. The method used for the calculation of derivatives of implicit functions is usually ‘mistaught’. 3. Equivocal definitions for centres of mass are common. A rigorous treatment of these topics is not advised, since it would be too advanced for novices. However, ambiguities can be removed by elevating some commonsense notions to the status of axioms.
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