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MAM149 Komplex analys 4.0 poäng | |
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ÄMNE (enl SCB) Matematik/Tillämpad matematik NIVÅ/DJUP C K PROGRAM/TIDSPERIOD D, E, F / SPRÅK: Engelska EXAMINATOR L Maligranda Prof FASTSTÄLLD Kursplanen är fastställd av institutionen för matematik 2001-02-16 att gälla från H01. FÖRKUNSKAPSKRAV The course will be given in english and together with MAM024. SYFTE/MÅL The aim of this course is to give a good understanding of some basic concepts in complex analysis. INNEHÅLL Complex numbers, complex functions, complex differentiation of functions developing theorems on that such as Cauchy-Riemann equations, analytic functions, reflection principle, harmonic functions and Cauchy-type theorems. Elementary functions of complex variable such as exponential, trigonometric and logarithmic functions. Contour integrals with the nice Cauchy-Goursat theorem which implies all beautifull theory containing Cauchy integral formula. Liouville's theorem, Laurent series, residues and residue theorems. Residue theorems are applied to evaluation of improper real integrals, definite integrals with sines and cosines, argument principle and Rouché theorem. Conformal mappings are studied in the final of the course. UNDERVISNING EXAMINATION The examination consists of a written examination at the end of the course. KURSENS BETYGSKALA: U, G, VG MOMENT/PROV | |
| Tentamen | 4.0poäng |
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LITTERATUR J.W. Brown and R.V. Churchill, Complex Variables and Applications, Sixth Edition, McGraw-Hill, Inc., New York 1996 (Chapters 1-9)
Senast reviderad litteratur:
2001-02-16
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Ytterligare kursinformation: http://www.sm.luth.se/math/education/ |
| Universitetet | Student | Forskning | Sök | Kontakta oss | In English |
 LULEÅ TEKNISKA UNIVERSITET Universitetsområdet, Porsön, 971 87 Luleå. Tel. 0920-91 000, fax 0920-91 399 |