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Syllabus for

 Academic year
MVE025 - Complex mathematical analysis
 
Syllabus adopted 2012-02-22 by Head of Programme (or corresponding)
Owner: TKTFY
6,0 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: First-cycle
Major subject: Chemical Engineering with Engineering Physics, Mathematics, Engineering Physics
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: Swedish

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0105 Examination 6,0 c Grading: TH   6,0 c   29 Oct 2015 am H,  07 Jan 2016 am H,  26 Aug 2016 pm SB

In programs

TKTFY ENGINEERING PHYSICS, Year 2 (compulsory)

Examiner:

Professor  Bo Berndtsson



  Go to Course Homepage

Eligibility:

In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.

Course specific prerequisites

Basic courses in mathematics.

Aim

To treat the fundamental theory for complex functions and to demonstrate important areas of application.

Learning outcomes (after completion of the course the student should be able to)

The course aims at providing knowledge of analytical functions, Laplace and z-transforms and some applications to PDE.

Content

Analytic and harmonic functions. Elementary functions and mappings. Multivalued functions, branch points. Complex integration. Cauchy's theorem. Cauchy's integral formula. Taylor and Laurent series. Isolated singularities. Residues. Calculation of Fourier transforms using residues. Conformal mappings. Linear fractional mappings. Applications to the Laplace equation in the plane. The argument pronciple. Laplace and z-transforms and applications. Nyquist diagrams.

Organisation

Lectures and practical exercises.

Literature

S. Fischer: Complex Variables. Second Edition. Dover, Mineola, New York 1999.
K. Holmåker: Tillämpningar av komplex analys och Fourieranalys, Matematiska institutionen, CTH/GU.

Examination

A written paper. Hand-ins can occur.

Page manager Published: Mon 28 Nov 2016.