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Analysis III E

General data

Course ID:	1100-2Ind14
Erasmus code / ISCED:	(unknown) / (unknown)
Course title:	Analysis III E
Name in Polish:	Analiza III R
Organizational unit:	Faculty of Physics
Course groups:	Physics, individual path; 2nd year courses
ECTS credit allocation (and other scores):	9.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.
Language:	Polish
Main fields of studies for MISMaP:	physics
Prerequisites (description):	Before starting the course, the student should pass the following courses: Analysis IE and Analysis IE or Analysis I and Analysis II. Knowledge of linear algebra is also advisable.
Mode:	Blended learning Classroom
Short description:	Analysis IIIE is a lecture that isa continuation of Analysis IE and Analysis IIE. The substantive material covers the following issues: 1. Elements of differential geometry 2. Elements of complex analysis 3. Elements of Distribution Theory and Fourier Analysis
Full description:	The Analysis IIIE is a continuation of the Analysis I and II E. The material covers the following issues 1. Elements of differential geometry: the concept of a submerged surface, tangent vectors, tangent space, covectors on the surface, vector fields and forms, outer product, polyforms, external differential, Poincare lemma, integration of differential forms, Stokes' theorem 2. Elements of complex analysis: differentiation in the complex sense, holomorphic functions, Taylor series, Laurent series, the concept of residuum, integration by the residua method, residuum at infinity, RUnge theorem, Gamma function. 3. Elements of distribution theory: sample functions, distributions, operations on distribution, convergence of the distribution sequence, compact carrier distributions, Fourier transform of functions, Fourier transform of distributions.
Bibliography:	(in Polish) Paweł Urbański, "Analiza III", skrypt UW; Jacek Jakubowski, Rafał Sztencel, "Wstęp do teorii prawdopodobieństwa" Jerzy Kijowski "Geometria różniczkowa jako narzędzie nauk przyrodniczych" Serge Lang "Analiza Zespolona" Jan Krzyż "Zbiór zadań z funkcji analitycznych" Aleksander Strasburger, Wiesław Pusz "Analiza III" zbiór zadań
Learning outcomes:	(in Polish) Osoba, która zdała egzamin z wynikiem pozytywnym posiada podstawową wiedzę z zakresu geometrii różniczkowej, analizy zespolonej, teorii całki i miary, teorii prawdopodobieństwa oraz teorii dystrybucji wystarczającą do uczestnictwa w wykładach z fizyki teoretycznej takich jak mechanika kwantowa i mechanika statystyczna
Assessment methods and assessment criteria:	(in Polish) W trakcie semestru odbywają się dwa kolokwia, które stanowią podstawę zaliczenia ćwiczeń. Prowadzący mogą ustanowić dodatkowe zasady związane z aktywnością na zajęciach bądź rozwiązywaniem zadań domowych. Do egzaminu końcowego przystępują wyłącznie osoby, które zaliczyły ćwiczenia. Egzamin składa się z części pisemnej i części ustnej.
Practical placement:	(in Polish) Nie dotyczy

Classes in period "Winter semester 2023/24" (past)

Time span:	2023-10-01 - 2024-01-28	Selected timetable range: weekly course term Navigate to timetable MO WYK CW TU CW W TH CW FR CW WYK
Type of class:	Classes, 60 hours more information Lecture, 60 hours more information
Coordinators:	Paweł Kasprzak
Group instructors:	Adam Bednorz, Paweł Kasprzak, Rafał Suszek
Students list:	(inaccessible to you)
Examination:	Course - Examination Lecture - Examination

Classes in period "Winter semester 2024/25" (future)

Time span:	2024-10-01 - 2025-01-26	Selected timetable range: weekly course term Navigate to timetable MO WYK CW TU CW W TH CW FR CW WYK
Type of class:	Classes, 60 hours more information Lecture, 60 hours more information
Coordinators:	Piotr Sołtan
Group instructors:	Szymon Charzyński, Paweł Kasprzak, Piotr Sołtan
Students list:	(inaccessible to you)
Examination:	Course - Examination Lecture - Examination

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