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Achilles, Turtle, and the Geometric Series

Achilles_Podcast

This is a short video that discusses the paradox of Zeno. It turns out that this paradox is not a paradox but rather an easy way to show that a geometric series converges (if |q| < 1) and to find a formula for the sum. Suitable for high schools.

English version in YouTube

Translation to Spanish in YouTube

Calculus Podcasts

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This is a series of calculus podcasts in English based on the materials of the Single Variable Calculus Lecture Notes by M. Seppälä.

Convergence of a Special Geometric Series

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This video explains why the geometric series 1/2 + 1/4 + 1/8 + ... converges using an elementary argument. The video is meant to be preparatory materials for students to view before the discussion of geometric series takes place in a class room. The video finishes with an intriguing example.

English version in YouTube

Computer generated exercises - complex numbers

Computer generated exercises - complex numbers

An applet generating questions of complex numbers.

Combining exponental and sinus function

Combining exponental and sinus function

GEONExT based applet for visualizing Calculus

Cálculo con soporte interactivo en Moodle (Calculus with interactive support over Moodle)

Calculus course developed in a dual way, both in paper and as a Moodle course.

Maths for More has worked on the technical development of this course of Pearson Education.

Computer generated exercises - Gauss algorithm

Computer generated exercises - Gauss algorithm

MuPAD based applet for Linear Algebra (Gauss algorithm).

Computer generated exercises - Gauss algorithm (left Inverses)

Computer generated exercises - Gauss algorithm (left Inverses)

MuPAD based applet for Linear Algebra

Specialized Calculators - Modular Arithmetic

Specialized Calculators - Modular Arithmetic

MuPAD based applets for modular arithmetic used in courses for Linear Algebra, Cryptography and Elementary Number Theory.

Specialized Calculator - Gauss algorithm (Solving systems of linear equations)

Specialized Calculator - Gauss algorithm (Solving systems of linear equations)

MuPAD based applet for Linear Algebra

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