COURSE SYLLABUS

Principles of Mathematical Analysis 7.5 Credits

Analysens grunder
Second cycle, M7020M
Version
Course syllabus valid: Autumn 2012 Sp 1 - Spring 2013 Sp 4
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

Syllabus established
by DLBM 26 Nov 2009

Last revised
by Dept. TVM Mats Näsström 14 Mar 2012

Education level
Second cycle
Grade scale
G U 3 4 5
Subject
Mathematics
Subject group (SCB)
Mathematics

Entry requirements

General entry requirements, second cycle

Specific entry

The basic courses in mathematics.


More information about English language requirements



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.

Realization
Lectures.

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

Transition terms
3525

Examiner
Lech Maligranda

Literature. Valid from Autumn 2012 Sp 1 (May change until 10 weeks before course start)
The course literature consists the first seven chapters of the textbook:
W.R. Parzynski and P.W. Zipse: Introduction to Mathematical Analysis, McGraw Hill 1987.

Course offered by
Department of Engineering Sciences and Mathematics

Items/credits
NumberTypeCreditsGrade
0001Written exam7.5G U 3 4 5