6. Calculus

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Examples for resources of the math-kit project

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Sample material developed using Math-Kit. This is a collection discussing basics, applications, exercises and explorations.

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.

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:

Diagnostic Testing at University of Helsinki

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The resource is the complete diagnostic testbank used for testing students entering the first calculus course at the University of Helsinki. This diagnostic test covers a large part of the normal high school curriculum in Finland. The test was originally written by Andre Heck and later slightly edited by Mika Seppälä. Actual diagnostic tests used contain a part of these questions, not all of them.

Teach yourself limits

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This set of exercises will teach the student to compute limits of functions. A WebALT service.

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.