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Obligatory courses for 1st grade Mathematics (course group defined by Faculty of Mathematics, Informatics, and Mechanics)

Faculty: Faculty of Mathematics, Informatics, and Mechanics Courses displayed below are part of group defined by this faculty, but this faculty is not necessarily the one that organizes these courses. Read Help for more information on this subject.
Course group: Obligatory courses for 1st grade Mathematics
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2023Z - Winter semester 2023/24
2023L - Summer semester 2023/24
2024Z - Winter semester 2024/25
2024L - Summer semester 2024/25
(there could be semester, trimester or one-year classes)
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2023Z 2023L 2024Z 2024L
1000-112bAPP
(from 2024-10-01)
n/a n/a n/a
Classes
Summer semester 2024/25
  • Classes - 15 hours
  • Lab - 15 hours
  • Lecture - 30 hours
Groups

Brief description

(in Polish) Pojęcie algorytmu i programu. Wprowadzenie do programowania, podstawowe konstrukcje programistyczne (przypisanie, instrukcje warunkowe, iteracje, funkcje). Typy danych. Poprawność i złożoność algorytmu. Rekurencja.

Course page
1000-OOPOWI n/a n/a n/a
Classes
Winter semester 2023/24
  • Lecture - 4 hours
Groups

Brief description

The course includes the most relevant issues in the field of intellectual property rights on a basic level.

Course page
1000-111bWI1a n/a n/a n/a
Classes
Winter semester 2023/24
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

The purpose of the course is to introduce students to the principles of solving problems with computers and to teach them practical programming.

Course page
1000-111bWI1b n/a n/a n/a
Classes
Winter semester 2023/24
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

The purpose of the course is to introduce students to the principles of solving problems with computers and to teach them practical programming.

Course page
1000-112bWI2b n/a n/a n/a
Classes
Summer semester 2023/24
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

A follow-up to 1000-111bWI1b. Algorithms for selected discrete mathematics problems and their implementation.

Course page
1000-111bWMAa n/a n/a
Classes
Winter semester 2023/24
  • Classes - 30 hours
  • Lecture - 30 hours
Winter semester 2024/25
  • Classes - 60 hours
  • Lecture - 30 hours
Groups

Brief description

The course presents basic notions and methods of set theory (plus the necessary background in logic) that form the language of modern mathematics.

Course page
1000-111bGA1a n/a n/a
Classes
Winter semester 2023/24
  • Classes - 60 hours
  • Lecture - 30 hours
Winter semester 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Groups

Brief description

The course GAL I is concerned with the study of systems of linear equations over fields. We define a field and study properties of fields of real and

complex numbers. The solution set of a system of linear equations will be endowed with the structure of a linear space. Matrices representing linear equations and linear transformations will be the main tool.

Course page
1000-112bGA2a n/a n/a
Classes
Summer semester 2023/24
  • Classes - 60 hours
  • Lecture - 60 hours
Summer semester 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Groups

Brief description

(in Polish) Endomorfizmy przestrzeni liniowych, ślad i wyznacznik endomorfizmu, wektory i wartości własne, diagonalizacja. Iloczyny skalarne, bazy ortonormalne, ortogonalizacja Grama-Schmidta, kryterium Sylvestera, macierz Grama, iloczyn wektorowy. Przekształcenia przestrzeni euklidesowych liniowych, izometrie, macierze ortogonalne, przekształcenia samosprzężone i ich diagonalizacja, iloczyny hermitowskie i diagonalizacja przekształceń unitarnych. Formy dwuliniowe i ich diagonalizacja, kryterium Sylvestera o bezwładności. Przestrzenie i przekształacenia afiniczne, bazy punktowe, przestrzenie i przekształcenia styczne. Przestrzenie euklidesowe afiniczne, ich izometrie, odległość, miara objętości. Funcje wielomianowe, hiperpowierzchnie stopnia dwa w rzeczywistej przestrzeni afinicznej. Elementy teorii kategorii.

Course page
1000-112bGA2* n/a n/a
Classes
Summer semester 2023/24
  • Classes - 60 hours
  • Lecture - 60 hours
Summer semester 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Groups

Brief description
No brief description found, go to course home page to get more information.
Course page
1000-111bAM1a n/a n/a
Classes
Winter semester 2023/24
  • Classes - 60 hours
  • Lecture - 60 hours
Winter semester 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Groups

Brief description

The course introduces the fundamental notions of differential calculus in one variable. It covers properties of real and rational numbers, mathematical induction, limits of sequences (including the Bolzano-Weierstrass theorem), convergence of series (from basic criteria to the Cauchy multiplication of series), limits and continuity of a function of one variable, properties of continuous functions (intermediate value property, Weierstrass' theorem), convex functions and the notion of a derivative.

Course page
1000-112bAM2a n/a n/a
Classes
Summer semester 2023/24
  • Classes - 60 hours
  • Lecture - 60 hours
Summer semester 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Groups

Brief description

The course is a continuation of Analiza matematyczna I.1. It covers the differential and integral calculus of one variable, starting from the notion of a derivative and its applications (de l'Hospital's rule, Taylor polynomials), through sequences and series of functions and their convergence (Weierstrass' test for absolute convergence, Arzela-Ascoli theorem), properties of power series, to the theory of the Riemann integral, improper integrals and their applications (length of C1 curves, Euler's Γ function, Wallis' formula).

Course page
1000-112bAM2* n/a n/a
Classes
Summer semester 2023/24
  • Classes - 60 hours
  • Lecture - 60 hours
Summer semester 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Groups

Brief description
No brief description found, go to course home page to get more information.
Course page
0000-BHP-OG n/a n/a
Classes
Winter semester 2023/24
  • E-learning course - 4 hours
Summer semester 2023/24
  • E-learning course - 4 hours
Groups

Brief description

The subject of the course is the acquisition of basic knowledge in the field of occupational safety and health, elements of labor law, fire protection as first aid in the event of an emergency.

Course page
Krakowskie Przedmieście 26/28
00-927 Warszawa
tel: +48 22 55 20 000 https://uw.edu.pl/
contact accessibility statement USOSweb 7.0.3.0 (2024-03-22)