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Obligatory courses for 1st grade JSEM (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 JSEM
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2024Z - Winter semester 2024/25
2024L - Summer semester 2024/25
2025Z - Winter semester 2025/26
2025L - Summer semester 2025/26
(there could be semester, trimester or one-year classes) 		Actions
2024Z 2024L 2025Z 2025L
1000-111ADM1 n/a
n/a
Classes
Winter semester 2024/25
  • Classes - 60 hours
  • Lecture - 30 hours
Winter semester 2025/26
  • Classes - 60 hours
  • Lecture - 30 hours
Groups

Brief description

(in Polish) Pierwsza część wykładu i ćwiczeń wprowadza studenta w teorię i praktykę

formalizmu matematycznego: elementy teorii mnogości są fundamentem na

którym zbudowany jest dalszy wykład algebry liniowej. Podstawy teorii

przestrzeni liniowych rozwinięte są nad dowolnym ciałem skalarów. Zarówno

teoria przestrzeni jak i przekształceń liniowych stosowane są nie tylko do

badania układów równań liniowych w kartezjańskich przestrzeniach

współrzędnych ale również do innych naturalnych przestrzeni i odwzorowań

między nimi, które pojawiają się naturalnie w innych działach matematyki

(przestrzenie wielomianów, ciągów i funkcji).

 		Course page
1000-112ADM2 n/a n/a
Classes
Summer semester 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Summer semester 2025/26
  • Classes - 60 hours
  • Lecture - 30 hours
Groups

Brief description

(in Polish) Większa część wykładu i ćwiczeń rozwija dalej algebrę liniową: teoria

diagonalizacji endomorfizmów, elementy algebry dwuliniowej ze szczególnym

uwzględnieniem geometrii euklidesowej i towarzysząca im teoria form

kwadratowych. Końcowa część przedmiotu poświęcona jest elementom algebry

abstrakcyjnej, a więc teorii grup i pierścieni.

 		Course page
1000-112bAPP n/a n/a
Classes
Summer semester 2024/25
  • Classes - 15 hours
  • Lab - 15 hours
  • Lecture - 30 hours
Summer semester 2025/26
  • 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 2024/25
  • 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
1000-111bWMA
Introduction to mathematics (from 2025-10-01)
n/a n/a
n/a
Classes
Winter semester 2025/26
  • Classes - 45 hours
  • Lecture - 15 hours
Groups

Brief description

(in Polish) Liczby naturalne i zasada indukcji matematycznej. Zbiory, zbiór potęgowy, pary uporządkowane, iloczyn kartezjański.

Spójniki logiczne, ich znaczenie i związek z działaniami na zbiorach. Kwantyfikatory. Przykłady dowodów. Wprowadzenie

do pojęcia funkcji, podstawowe własności funkcji, składanie funkcji, funkcje odwrotne. Relacje dwuargumentowe, relacje

równoważności, klasy abstrakcji, zbiór ilorazowy.

 		Course page
2400-PP1MA1a n/a n/a n/a
Classes
Summer semester 2024/25
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

The course aims at presentation of the basic concepts, categories and simple models of modern macroeconomic analysis. Mastering the material should allow the students to understand the functioning of the economy as a whole, studying the structure of modern macroeconomic theory and give a solid basis for studying macroeconomics at the intermediate and advanced level. Hence, emphasis will be given to mastering of the basic macroeconomic independencies and on differences between short-term and long-term approach to macroeconomics.

Credit for classes is based on the written final exam, consisting of computational tasks, open questions and graphical tasks. It is also necessary to get a credit for discussion classes first. Credit for the whole course will be given to students that will gather min. 60% of the weighted average number of pints from tutorial (weight 30%) and final exam (70%). It is required to get at least 50% of point from the final exam.

 		Course page
2400-PP1MA1 n/a n/a n/a
Classes
Summer semester 2024/25
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

The course aims at presentation of the basic concepts, categories and simple models of modern macroeconomic analysis. Mastering the material should allow the students to understand the functioning of the economy as a whole, studying the structure of modern macroeconomic theory and give a solid basis for studying macroeconomics at the intermediate and advanced level. Hence, emphasis will be given to mastering of the basic macroeconomic independencies and on differences between short-term and long-term approach to macroeconomics.

Credit for classes is based on the written final exam, consisting of computational tasks, open questions and graphical tasks. It is also necessary to get a credit for discussion classes first. Credit for the whole course will be given to students that will gather min. 60% of the weighted average number of pints from tutorial (weight 30%) and final exam (70%). It is required to get at least 50% of point from the final exam.

 		Course page
1000-111bAM1a n/a
n/a
Classes
Winter semester 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Winter semester 2025/26
  • 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 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Summer semester 2025/26
  • 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 2024/25
  • Classes - 60 hours
  • Lecture - 60 hours
Summer semester 2025/26
  • Classes - 60 hours
  • Lecture - 60 hours
Groups

Brief description
No brief description found, go to course home page to get more information.
Course page
2400-PP1MI1a n/a n/a n/a
Classes
Winter semester 2024/25
  • Classes - 60 hours
  • Lecture - 30 hours
Groups

Brief description

The aim of the course is to familiarize students with the intermediate consumer theory as part of the microeconomics theory.

 		Course page
2400-PP1MI1 n/a n/a n/a
Classes
Winter semester 2024/25
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

The aim of the course is to familiarize students with the intermediate consumer theory as part of the microeconomics theory. The credit for the course will be settled on the basis of the following elements: assessment of the classes (30%), final exam (70%). The final exam takes the form of a single-choice test, checking the degree of mastery of the necessary theoretical and practical material.

 		Course page
2400-L1PPMI1
Microeconomics I (from 2025-10-01)
n/a n/a n/a
Classes
Winter semester 2025/26
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

(in Polish) Celem zajęć jest zapoznanie studentów ze średniozaawansowaną teorią konsumenta w ramach teorii mikroekonomii. Kurs będzie zaliczany na podstawie następujących elementów: wynik z ćwiczeń (30%), egzamin końcowy (70%). Egzamin końcowy ma formę testu jednokrotnego wyboru, sprawdzającego stopień opanowania niezbędnego materiału teoretycznego i praktycznego.

 		Course page
2400-PP1MI2 n/a n/a n/a
Classes
Summer semester 2024/25
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

The aim of the course is to familiarize students with intermediate microeconomic theory – module II concerns producer theory and is an introduction to industrial organization. The course is graded based on two components: tuition class grade (30%) and a final exam (70%). The final exam is a multiple choice test, which verifies theoretical knowledge and practical skills.

 		Course page
2400-PP1MI2a n/a n/a n/a
Classes
Summer semester 2024/25
  • Classes - 30 hours
  • Lecture - 30 hours
Groups

Brief description

The aim of the course is to familiarize students with intermediate microeconomic theory – module II concerns producer theory and is an introduction to industrial organization. The course is graded based on two components: tuition class grade (30%) and a final exam (70%). The final exam is a multiple choice test, which verifies theoretical knowledge and practical skills.

 		Course page
0000-BHP-OG n/a
Classes
Winter semester 2024/25
  • E-learning course - 4 hours
Summer semester 2024/25
  • E-learning course - 4 hours
Winter semester 2025/26
  • 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

- first aid in the event of an emergency,

- issues related to the radioactive element radon,

- evacuation of people with special needs.

 		Course page
ul. Banacha 2
02-097 Warszawa tel: +48 22 55 44 214 https://www.mimuw.edu.pl/ contact accessibility statement site map USOSweb 7.1.2.0-a1f734a9b (2025-06-25)