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Syllabus for

Academic year
TMA035 - Analytic functions
 
Owner: TELTA
3,0 Credits (ECTS 4,5)
Grading: TH - Five, Four, Three, Not passed
Level: B
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: Swedish

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0198 Examination 3,0 c Grading: TH   3,0 c   18 Oct 2005 pm V   12 Jan 2006 am V,  02 Sep 2006 am V

In programs

TELTA ELECTRICAL ENGINEERING, Year 3 (elective)
TITEA SOFTWARE ENGINEERING, Year 4 (elective)
TITEA SOFTWARE ENGINEERING, Year 3 (elective)
TDATA COMPUTER SCIENCE AND ENGINEERING, Year 3 (elective)
TDATA COMPUTER SCIENCE AND ENGINEERING - Other elective courses, Year 4 (elective)

Examiner:

Bitr professor  Lyudmila Turowska



Eligibility:

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

Content

Analytic functions of a complex variable, harmonic functions. The elementary functions and their mapping properties. Integration in the complex plane, Cauchy's integral theorem and integral formula. Taylor and Laurent series. Different kinds of singularities. Residue calculus. Analytic continuation. The maximum principle. Conformal mappings and potential problems. The argument principle and Rouché's theorem. Laplace and Fourier transforms. Applications to filters, causality, stability. Hilbert transforms.

Organisation

The course is given as lectures combined with tutorial groups for problem solving related to the course

Literature

A.D. Wunsch: Complex Variables with Applications, Addison-Wesley, 1994
Complementary material

Examination

Obligatory assignments (Matlab) and combined problems and theory examination.


Page manager Published: Thu 03 Nov 2022.