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Syllabus for |
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| TMA035 - Analytic functions |
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| Owner: TELTA |
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3,0 Credits (ECTS 4,5) |
| Grading: TH - Five, Four, Three, Not passed |
| Level: B |
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Department: 11 - MATHEMATICAL SCIENCES
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Teaching language: Swedish
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Credit distribution |
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Examination dates |
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Sp1 |
Sp2 |
Sp3 |
Sp4 |
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No Sp |
| 0198 |
Examination |
3,0 c |
Grading: TH |
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3,0 c
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18 Oct 2005 pm V 
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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.
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