Search programme

​Use the search function to search amongst programmes at Chalmers. The study programme and the study programme syllabus relating to your studies are generally from the academic year you began your studies.

Syllabus for

Academic year
TMV100 - Integration theory  
 
Syllabus adopted 2014-02-17 by Head of Programme (or corresponding)
Owner: MPENM
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: Second-cycle
Major subject: Mathematics
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: English
Open for exchange students

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0103 Examination 7,5c Grading: TH   7,5c    

In programs

MPENM ENGINEERING MATHEMATICS AND COMPUTATIONAL SCIENCE, MSC PROGR, Year 2 (elective)

Examiner:

Bitr professor  Maria Roginskaya



  Go to Course Homepage

Eligibility:


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

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: Mon 28 Nov 2016.