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Physical Sciences and Mathematics Commons

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Mathematics

Mathematics Faculty Scholarship

Calculus

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Full-Text Articles in Physical Sciences and Mathematics

How To Calculate Π: Machin's Inverse Tangents, A Mini-Primary Source Project For Calculus Ii Students, Dominic Klyve Jan 2018

How To Calculate Π: Machin's Inverse Tangents, A Mini-Primary Source Project For Calculus Ii Students, Dominic Klyve

Mathematics Faculty Scholarship

Almost every mathematical culture through history seems to have proved, trusted, or suspected that the area of a circle is a fixed constant times the square of its radius. It is maybe not surprising, then, that the last two millennia have seen a seemingly endless array of attempts to calculate this constant (today usually called π" role="presentation">π) with increasing precision.


The Derivatives Of The Sine And Cosine Functions: A Mini_Primary Source Project For Calculus I Students, Dominic Klyve Jun 2017

The Derivatives Of The Sine And Cosine Functions: A Mini_Primary Source Project For Calculus I Students, Dominic Klyve

Mathematics Faculty Scholarship

This curricular modular guides students through a method of calculating the derivative of the sine and cosine functions using differentials. It is based on one primary source: Leonhard Euler's Institutiones calculi differentialis (Foundations of Differential Calculus) [2], published in 1755.