2006•International Journal of Mathematical Education in Science and TechnologyRequires access

The role of race track principles

Changhua Hu

Abstract

The paper shows an alternative way of presenting differential calculus. It is shown that the Race Track Principles (RTP) (or any of the variants) is, in fact, equivalent to the Mean Value Theorem. Moreover, it is demonstrated how major theorems of differential calculus can be derived using RTP. The benefits of using RTP as a means to introduce theoretical part of differential calculus are analysed.

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Key concepts: Differential calculus, Differential (mechanical device), Calculus (dental), Track (disk drive), Race (biology), Mathematics, Time-scale calculus, Value (mathematics)