Mathematical analysis II.1
General data
Course ID: | 1000-113aAM3a |
Erasmus code / ISCED: |
11.102
|
Course title: | Mathematical analysis II.1 |
Name in Polish: | Analiza matematyczna II.1 (potok I) |
Organizational unit: | Faculty of Mathematics, Informatics, and Mechanics |
Course groups: | |
ECTS credit allocation (and other scores): |
(not available)
|
Language: | Polish |
Main fields of studies for MISMaP: | mathematics |
Type of course: | obligatory courses |
Full description: |
Linear and topological structure of Euclidean spaces; transformations, continuity. Calculus in several variables: directional derivative, differentiability, higher-order derivatives, Taylor's formula, the implicit function theorem, local extrema. The concept of measure; outer measure and Caratheodory's theorem. Lebesgue measure; measurable functions, Lebesgue integral. Fubini's theorem, change of variables under the integral. Passing to the limit under integration sign. |
Bibliography: |
(in Polish) A. Birkholc, Analiza matematyczna: Funkcje wielu zmiennych. W. Kołodziej, Analiza matematyczna G.M. Fichtenholz, Rachunek różniczkowy i całkowy |
Course descriptions are protected by copyright.
Copyright by University of Warsaw.
Copyright by University of Warsaw.