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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: A
Department: 0702 - Matematik MV CTH/GU


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   21 Oct 2003 pm V,  15 Jan 2004 am V,  28 Aug 2004 am V

In programs

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

Examiner:




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.

Literature

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

Examination


Page manager Published: Thu 03 Nov 2022.