FYSS7301 Kompleksianalyysi (5 op)

Sisältö

Complex numbers and elementary functions of complex variables; derivative and analyticity of a function of complex variables; contour integration in the complex plane; Cauchy’s theorem and Cauchy’s integral formulae; Taylor series and analytic continuation; Laurent series, classification of singularities and calculation of residues; Residue theorem, with various applications in contour integrals in the complex plane, summation of series and infinite products

Suoritustavat

Assignments, examination

Arviointiperusteet

Maximum points: 80% from the final exam plus 20% from the exercises; passing the course: at least 50% of the maximum total points obtained; maximum score from the exercises: at least 80% of all the available exercise points obtained.

Spring semester 1st period, every two years starting spring 2019.