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Rethinking Rigor in Calculus: The Role of the Mean Value Theorem

by Thomas W. Tucker (Colgate University)

This article originally appeared in:
American Mathematical Monthly
March, 1997

Subject classification(s): Calculus | Taylor Series | Single Variable Calculus
Applicable Course(s): 3.0 Calculus | 3.1 Mainstream Calculus I | 3.2 Mainstream Calculus II | 3.4 Non-mainstream Calc I | 3.5 Non-mainstream Calc II

The author proposes the Increasing Function Theorem as an alternative to the Mean Value Theorem in introductory calculus.

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Capsule Course Topic(s):
One-Variable Calculus | Theoretical Issues
One-Variable Calculus | Calculus Functions
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