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Essay giving history of the number \(e\) and logarithms, with focus on why we use "\(e\)" to represent the base of the natural logarithm.

History of Calculus, One-Variable Calculus

Archimedes' Method for Computing Areas and Volumes

Archimedes' computation of circle area and his use of the Law of the Lever to compute volumes of cones, cylinders, spheres, and paraboloids in his Method, explored using interactive Java ap

History of Calculus, One-Variable Calculus

Kepler: The Volume of a Wine Barrel

History of Calculus, One-Variable Calculus

Terminator Game

Fun and easy-to-use interactive game to help students learn or review polar coordinates and, in particular, radian measure of angles as a decimal number (rather than a multiple of \(\pi\)).

One-Variable Calculus

Calculus on the Web (a.k.a. Cowculus on the Web) Precalculus Book

Interactive quizzes allow students not only to see if their answers are correct but also to access online explanations of the ideas and techniques needed in order to understand and do the quiz pro

Background

Steal this Applet!

Seven interactive Flash applets that the user may customize for classroom use, with clear instructions included for doing so.

General Collections of Applets

Finite Limits at a Finite Point

In the epsilon-delta definition of a finite limit, the student gets to select a limit point and epsilon and then adjust left and right deltas to satisfy the definition.

Continuity and Limits

Investigating Limits Numerically

Students choose one of 9 functions and a limit point. Then they can see the value of the function as \(x\) gets closer to the limit point.

Continuity and Limits

Finite Limits at Infinity

In the \(\epsilon\)-\(N\) definition of a finite limit at infinity, the students gets to select \(\epsilon\) and then adjust \(N\) to satisfy the definition.

Infinite Limits: Function Values and Integrals, One-Variable Calculus, Continuity and Limits

L'Hospital's Rule for 0/0 Forms

In applying l'Hospital's rule to the limit of a quotient with indeterminate form 0/0, a student gets to select the numerator and denominator from a list of 6 functions.

Infinite Limits: Function Values and Integrals, One-Variable Calculus, Continuity and Limits