(Created 2011-09-01.)

MATHEMATICAL COMMUNICATION | FMA085 |

**Aim**

The aim of the course is to increase the student's awareness of, and understanding of, mathematical reasoning. The course gives an introduction to the construction of mathematical theory, demonstrating the need for rigour through simple examples. Furthermore, the student should practise his or her ability to seek information, and to put forward and present mathematical reasoning, even in popular form. The student should also get some notions of current and modern mathematical research.

*Knowledge and understanding*

For a passing grade the student must

be able to informally describe the mathematical sciences (geometry, algebra, analysis and probability theory) and to give examples of research in classical as well as modern mathematics.

know the procedure for getting a mathematical work published, and know of some important mathematical journals.

*Skills and abilities*

For a passing grade the student must

be able to search for articles and journals in data bases and libraries containing mathematical literature, and be able to provide references according to the accepted standards.

be able to explain in a well-structured manner, with clear logic and proper terminology, orally as well as in writing, solutions (produced by the student or by others) to a mathematical problem, and be able to present, orally as well as in writing, a mathematical problem in a manner accesible to laypersons.

*Judgement and approach*

For a passing grade the student must

**Contents**

The construction of mathematical theories. A presentation of the mathematical sciences. A glimpse of modern mathematics.

**Literature**

Courant-Robbins: What is mathematics? 2nd ed. Oxford University Press 1996. ISBN 0-19-510519-2.

Stewart: From here to infinity. 3rd revised ed. Oxford Univeristy Press 1996. ISBN 0-19-283202-6.

Gowers, T: Mathematics: a very short introduction. Oxford University Press. ISBN 0-19-2853619.

Supplementary material.