Calculus

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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.

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.

Achilles, Turtle, and the Geometric Series

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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:

Online Single Variable Calculus

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The Online Single Variable Calculus is a full course at university level covering topics from Real Numbers, Functions, Differentiation, Integration, Series and Differential Equations. Each topic is organized in a module consisting of a Ten Minute Talk accompanied by Open Problems and Solved Problems. The material has been designed especially for online delivery.

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.

Video Lessons in Calculus (course 2)

Collection of Video Lessons in Calculus. (The lessons are in Norwegian.)

Video Lessons in Calculus

Collection of Video Lessons in Calculus. (The lessons are in Norwegian.)