Course syllabus

# Matematisk kommunikation

Mathematical Communication

## FMA085, 4,5 credits, G1 (First Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Mathematical Communication

Valid for: 2015/16

Decided by: Education Board B

Date of Decision: 2015-04-16

Main field: Technology.

Compulsory for: Pi1

Language of instruction: The course will be given in Swedish

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, also 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 use fundamental concepts used in mathematical theory construction, and to understand their meaning.

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 be familiar with some important mathematical journals.

Competences and skills

For a passing grade the student must

be able to use logical reasoning to analyse and solve mathematical problems which require a division into several subproblems.

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.

be able to comment on and review, both in writing and orally, a mathematical text or a mathematical reasoning with respect to both content and form.

Judgement and approach

For a passing grade the student must

develop an attitude to the world around him or her, according to which mathematics is a natural and precise instrument for communication and reasoning.

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

Grading scale: UG

Assessment: Assignments. Written and oral reports of project works, individually and in groups. Compulsory attendance at the project reports.

Required prior knowledge: Knowledge from courses in calculus and linear algebra which are taught in parallel.

The number of participants is limited to: No

- T. Gowers: Mathematics, A very short introduction. Oxford University Press, 2002, ISBN: 0-19-2853615. Supplementary reading.
- Kevin Houston: How to Think Like a Mathematician, A Companion to Undergraduate Mathematics. Cambridge University Press, 2009, ISBN: 978-0-521-89546-0. A book about reading, understanding and writing mathematics. The ISBN number refers to the paperback edition.
- Stenciler med populärvetenskaplig presentation av modern matematik. Handed out.

Course coordinator: Studierektor Anders Holst, Studierektor@math.lth.se

Teacher: Niels Christian Overgaard, nco@maths.lth.se

Course homepage: http://www.ctr.maths.lu.se/course/matkom/