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Search learning resources, case studies, and software descriptions: Seppälä, Mika | JEM - Joining Educational Mathematics

Search learning resources, case studies, and software descriptions: Seppälä, Mika

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Achilles, Turtle, and the Geometric Series

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. ...

Learning resource - Mika.Seppala - 2009/09/02 - 17:22 - 0 comments - 0 attachments

Convergence of a Special Geometric Series

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. T ...

Learning resource - Mika.Seppala - 2009/07/07 - 20:21 - 0 comments - 0 attachments

Diagnostic Testing at University of Helsinki

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 ori ...

Learning resource - Mika.Seppala - 2008/07/24 - 11:20 - 0 comments - 0 attachments

Inverted Polynomial Division and Taylor Polynomials

Source:  IMS LOM 1.2 Polynomial Division can be used to find Taylor polynomials of rational functions easily and quickly. The polynomial division that does this trick is inverted in the sense that, instead of canceling ...

Learning resource - Mika.Seppala - 2008/07/18 - 13:11 - 0 comments - 0 attachments

Riemann Surfaces and Teichmüller Spaces

Riemann Surfaces and Teichmüller Spaces by Mika Seppälä and Tuomas Sorvali. A graduate level book. Originally published by North Holland. Now out of print. Source:  IMS LOM 1.2 Resource URL:  http://jem-themati ...

Learning resource - Mika.Seppala - 2008/03/18 - 19:18 - 0 comments - 1 attachment

Calculus Podcasts

This is a series of calculus podcasts in English based on the materials of the Single Variable Calculus Lecture Notes by M. Seppälä. Source:  IMS LOM 1.2 Resource URL:  http://web.mac.com/mika.seppala/ ...

Learning resource - Mika.Seppala - 2008/03/18 - 18:49 - 0 comments - 0 attachments

Teach yourself limits

This set of exercises will teach the student to compute limits of functions. A WebALT service. Source:  IMS LOM 1.2 Resource URL:  http://www.webalt.com:8081/classes/Calculus/ Version:  ...

Learning resource - Mika.Seppala - 2008/03/13 - 17:27 - 0 comments - 0 attachments

Online Single Variable Calculus

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 Ta ...

Learning resource - Mika.Seppala - 2008/03/13 - 17:14 - 0 comments - 0 attachments

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