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Course Catalog 01/02


Mathematics

MAM059 Principles of Mathematical Analysis 6.0 ECTS credits

TIMEPERIOD:


LANGUAGE:English/Swedish

EXAMINER
L Maligranda Prof


PREREQUISITES


COURSE AIM
The aim of this course is to give a good understanding of some basic concepts in mathematical analysis.

CONTENTS
The rational and real numbers, the countable and uncountable sets are introduced. Basic topological concepts such as open, closed, bounded and compact sets are introduced. Numerical sequences, series and properties of continuous and differentiable functions are thorougly discussed. Riemann integral is introduced and its properties are studied. Sequences and series of functions are studied in connection with continuity, integration and differentiation.


TEACHING
The examination consists of a written examination at the end of the course.


EXAMINATION
The examination consists of a written examination at the end of the course.
COURSE GRADE SCALE:

ITEMS/CREDITS
Written exam 6.00ECTS

COURSE LITERATURE
The course literature consists of the first seven chapters of the textbook
W.R.Parzynski and P.W.Zipse: Introduction to Matematical Analysis, Mc Graw Hill 1987.


REMARKS


Course information from the department: http://www.sm.luth.se/math/education/

Valid for the academic year 01/02.

Web Editor: Karin.Lindholm@dc.luth.se


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LULEÅ UNIVERSITY OF TECHNOLOGY
University Campus, Porsön, 971 87 Luleå. Tel. +46 (0) 920-91 000, fax +46 (0) 920-91 399
Last edited 2001-12-17