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Analysis I

General data

Course ID: 1100-1AF12 Erasmus code / ISCED: 11.101 / (0541) Mathematics
Course title: Analysis I Name in Polish: Analiza I
Organizational unit: Faculty of Physics
Course groups: (in Polish) Astronomia, fizyka, I stopień; przedmioty do wyboru z grupy matematyka
(in Polish) Nanoinżynieria; przedmioty dla I roku
(in Polish) Nauczanie fizyki; przedmioty dla I roku
(in Polish) ZFBM - Zastosowania fizyki w biologii i medycynie; przedmioty dla I roku
Astronomy (1st level); 1st year courses
Physics (1st level); 1st year courses
ECTS credit allocation (and other scores): 9.00
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.

Practical placement: (in Polish)

Brak

Classes in period "Winter semester 2020/21" (past)

Time span: 2020-10-01 - 2021-01-31
Choosen plan division:


magnify
see course schedule
Type of class: Class, 60 hours, 150 places more information
Lecture, 60 hours, 150 places more information
Coordinators: Marcin Kościelecki
Group instructors: Marcin Kościelecki, Marcin Napiórkowski, Janusz Rosiek, Alexandra Shchukina
Students list: (inaccessible to you)
Examination: Course - Examination
Lecture - Examination

Classes in period "Winter semester 2021/22" (in progress)

Time span: 2021-10-01 - 2022-02-20
Choosen plan division:


magnify
see course schedule
Type of class: Class, 60 hours more information
Lecture, 60 hours more information
Coordinators: Adam Latosiński
Group instructors: Bartłomiej Bąk, Adam Latosiński, Alexandra Shchukina, Radost Waszkiewicz
Course homepage: https://www.fuw.edu.pl/~alatos/AnalizaI2021Z.html
Students list: (inaccessible to you)
Examination: Course - Examination
Lecture - Examination
Course descriptions are protected by copyright.
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