| TATM57 | Complex Analysis, 7,5 ECTS credits. /Komplex analys/ |
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Prel. scheduled
hours: 68 |
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Area of Education: Science Subject area: Mathematics |
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| Advancement level
(A-D): C
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| Aim: To teach students the principles of complex analysis and its applications in physics and technology. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) TATM72 Calculus A or NMAA13 Mathematical analysis I, TATM73 Calculus B or NMAB13 Mathematical analysis II, TATM18 Linear Algebra or NMAA12 Linear algebra (or equivalent courses) Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: Lectures and problem classes. |
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| Course contents: Complex numbers. The concept of an analytic function. Elementary analytic functions. Complex line integrals. Convergence. Functional series. Taylor and Laurent series. The calculus of residues. The argument principle. Conformal mappings defined by analystic functions. Analytic continuation. Applications: The Z-transform and an introduction to the one-sided Laplace transform. |
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| Course literature: Wunsch, D: Complex Variables with Applications. 2nd ed. |
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| Examination: | |||
| Written examination |
5 p |
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Course language is Swedish. Department offering the course: MAI. Director of Studies: Arne Enqvist Examiner: Keijo Hildén Link to the course homepage at the department Course Syllabus in Swedish |
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