MatTa study materials

Project MatTa was active during 1993–2003 at the Institute of Mathematics of the Helsinki University of Technology. The objective was the production and research of digital study materials in mathematics. The supervisor of the project has been Simo K. Kivelä. From 2004 the project was continued as a national virtual university project MatTaFi.

The most of the materials are in Finnish, a few are in English. The following links give the home pages of the materials; basic information (in Finnish) can be found by clicking the symbol .

The use of the materials is free for private persons. For other use, see the copyright page.

Iso-M encyclopaedia (in Finnish)

School level encyclopaedia of mathematics with three technically different versions, but with same contents.

• PDF version, (several linked files)
• PDF version, (one big file, can also be downloaded)
• HTML version, (several linked files)

Iso-M problem collection (in Finnish)

Collection of school level application oriented problems in mathematics with hints and answers.

• starting page

MOVE — revision of school level mathematics (in Finnish)

Collection of problems with hints and complete solutions.

• starting page

DelTa (in Finnish)

University course on ordinary differential equations; material supports the use of mathematical software.

• version 1, Mathematica, HTML based, Mathematica desirable, but not necessary
• version 1, Maple, HTML based, Maple desirable, but not necessary
• version 2, XML/MathML based and PDF based documents; Mathematica and Maple as above

DiffEqWeb (in English)

Tool for the demonstration of the solutions of ordinary differential equations. Separate versions for first order and higher order equations.

• instructions
• first order equations (DEW1)
• higher order equations (DEWn)

m-Treeni (in Finnish)

Collection of mathematical problems for basic courses on the university level (calculus, elementary linear algebra, differential equations; version 2 covers only differential equations).

• version 1
• version 2

Number theory and algebra (in Finnish)

Introduction to number theory and abstract algebra; three technically different versions with same contents.

• HTML version
• PDF version
• XML/MathMLversion

A-Treeni (in Finnish)

Problem collection on elementary number theory and abstract algebra.

• problems
• solutions
• table of contents

Complex numbers (in Finnish)

Basic properties of complex numbers.

• HTML version
• PDF version
• XML/MathML version
• table of contents

Linear algebra (in Finnish)

Elements of linear algebra. Three different user interfaces with same contents. Contains the use of Matlab, Mathematica and Maple in matrix computations.

• table of contents, i.e. list of the files
• XML/MathML version
• PDF version

Mma-Treeni (in Finnish)

Problem collection for learning to use the software Mathematica.

• HTML version
• PDF version
• home page

Software guides (in Finnish)

Introduction to the use of mathematical software Mathematica and Maple.

• Mathematica/HTML; based on version 4, partly obsolete
• Maple/HTML; based on version 5, obsolete

Miscellaneous documents (mainly in Finnish, a few in English)

Articles, demonstrations and interactive materials for mathematics and physics studies.

• list

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Webmaster of the page: Simo K. Kivelä