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Calculus Problems, Joshua N. Cooper
Calculus Problems, Joshua N. Cooper
Journal of Humanistic Mathematics
No abstract provided.
A Truly Beautiful Theorem: Demonstrating The Magnificence Of The Fundamental Theorem Of Calculus, Dan Mcquillan, Darlene M. Olsen
A Truly Beautiful Theorem: Demonstrating The Magnificence Of The Fundamental Theorem Of Calculus, Dan Mcquillan, Darlene M. Olsen
Journal of Humanistic Mathematics
In standard treatments of calculus, the Fundamental Theorem of Calculus is often presented as a computational method to evaluate definite integrals, with such powerful utility that one is tempted to overlook its beauty. To improve students' appreciation for the first part of the Fundamental Theorem of Calculus, we suggest a few classroom examples focusing on the accumulation function, to be introduced early and often throughout an introductory calculus course. These examples are small enough that they would not necessarily result in changes to a typical course schedule; yet we believe their contribution to student understanding can be significant. Furthermore, such …
Parts Of The Whole: Teaching Quantitative Reasoning In An Exponential Decay Model, Dorothy Wallace
Parts Of The Whole: Teaching Quantitative Reasoning In An Exponential Decay Model, Dorothy Wallace
Numeracy
The simple calculus example of exponential decay can be an excellent vehicle for teaching quantitative reasoning in calculus or differential equations. Insect maturation provides a rich context for thinking about the meaning of the rate constant for exponential decay, which is derived in the context of a system at equilibrium but is generally measured using a single cohort of individuals.