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Syllabus for

Academic year
TMV100 - Integration theory
 
Owner: TM
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: C
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: English

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0103 Examination 5,0 c Grading: TH   4,0 c 1,0 c    

In programs

TM Teknisk matematik, Year 2 (elective)
EMMAS MSc PROGR IN ENGINEERING MATHEMATICS, Year 1 (elective)

Examiner:

Professor  Christer Borell



Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Course specific prerequisites

Besides attending a civil engineering program knowledge corresponding to the compulsory courses in mathematics at this program is needed. In addition, a special interest in abstract theories is needed.

Aim

The course gives an introduction to the modern theory of integration.

Content

Measures, abstract integration, modes of convergence, product measures, Lebesque integration, orthogonality, decomposition of complex measures, differentiation, bounded variation, absolute continuity.

Organisation

The course ranges over 50 lecture hours; the total effort is about 200 hours.

Literature

G. B. Folland: Real Analysis; Modern Techniques and their Applications, John Wiley & Sons.
Ch. Borell: Lecture Notes in MeasureTheory. Department of Mathematics, Chalmers University of Technology and Goteborg University

Examination

A test will be given by the end of the course. A student failing in the ordinary test will be offered additional tests.


Page manager Published: Thu 03 Nov 2022.