University of Warsaw, Faculty of Physics - Central Authentication System

Analysis I

General data

Course ID:	1100-1AF12
Erasmus code / ISCED:	11.101 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Analysis I
Name in Polish:	Analiza I
Organizational unit:	Faculty of Physics
Course groups:	(in Polish) Biofizyka; przedmioty dla I roku (in Polish) Energetyka jądrowa; przedmioty dla I roku (in Polish) Fizyka, ścieżka fizyka medyczna; przedmioty dla I roku (in Polish) Fizyka, ścieżka neuroinformatyka; przedmioty dla I roku (in Polish) Fizyka, ścieżka standardowa; przedmioty dla I roku (in Polish) Nauczanie fizyki; przedmioty dla I roku Astronomy (1st level); 1st year courses Nanoengineering, 1st cycle, 1st 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. view allocation of credits
Language:	Polish
Main fields of studies for MISMaP:	physics
Mode:	Classroom
Short description:	The first part of the course of Calculus for students of the Faculty of Physics, intermediate level
Full description:	1. Elements of logic and set theory. - Basic symbols and notation of logic and set theory. - Mathematical induction. - Equivalence relations. - Functions and graphs. 2. Convergence - Axioms of the real number system. - Least upper bound and greatest lower bound. - Sequences of real numbers. - Metric spaces. - Closed sets, open sets, connected sets. - Compactness. 3. Differential calculus in one variable. - Taylor's formula. - De l'Hospital rule. - Convex functions. - The primitive. - Analysis of functions. - Series. - Radius of convergence of a power series. - Power series expansions of elementary functions. - The Riemann integral of functions of one variable.
Learning outcomes:	(in Polish) 1. Znajomość podstaw analizy matematycznej. 2. Uzyskanie podstawowych kompetencji w zakresie czytania i rozumienia tekstów matematycznych. 3. Poznanie podstawowych technik badania funkcji rzeczywistych i całkowania.
Assessment methods and assessment criteria:	(in Polish) Szczegółowe warunki zaliczenia znajdują się na stronie przedmiotu: https://kampus-kursy.ckc.uw.edu.pl/mod/forum/discuss.php?d=329#p423
Internships:	(in Polish) Brak

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

Time span:	2024-10-01 - 2025-01-26	Selected timetable range: weekly course term Go to timetable MO CW CW CW TU WYK CW CW W WYK CW CW TH CW CW FR CW CW CW CW CW
Type of class:	Classes, 60 hours more information Lecture, 60 hours more information
Coordinators:	Marcin Kościelecki
Group instructors:	Krystian Jabłonowski, Marcin Kościelecki, Jan Miśkiewicz, Bartosz Pałuba, Janusz Rosiek, Tomasz Smołka, Bartłomiej Zglinicki
Students list:	(inaccessible to you)
Credit:	Course - Examination Lecture - Examination

Classes in period "Winter semester 2025/26" (past)

Time span:	2025-10-01 - 2026-01-25	Selected timetable range: weekly course term Go to timetable MO CW CW CW TU WYK CW CW W WYK CW TH CW CW CW FR CW CW CW CW CW
Type of class:	Classes, 60 hours more information Lecture, 60 hours more information
Coordinators:	Katarzyna Grabowska
Group instructors:	Katarzyna Grabowska, Adam Latosiński, Maciej Nieszporski, Janusz Rosiek, Tomasz Smołka, Jerzy Wojtkiewicz, Bartłomiej Zglinicki
Students list:	(inaccessible to you)
Credit:	Course - Examination Lecture - Examination

Course descriptions are protected by copyright.
Copyright by University of Warsaw, Faculty of Physics.