Mathematical Analysis I WM-I-Z-AM1
The aim of the lecture is to give the basics of mathematical analysis. Among other things the following subjects are covered: the limit of a sequence and methods of its computation, the limit of a function and basic properties of continuous functions (the Bolzano-Cauchy, Weierstrassa and Cantor theorems), derivative and main properties of differentiable functions (the Fermat, Rolle, Darboux, Lagrange, Cauchy theorems), application of derivatives to plotting function graphs, solving equations, computing limits etc
(in Polish) Dyscyplina naukowa, do której odnoszą się efekty uczenia się
(in Polish) E-Learning
Term 2023/24_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2019/20_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2021/22_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2020/21_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2022/23_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2024/25_Z: (in Polish) E-Learning |
(in Polish) Grupa przedmiotów ogólnouczenianych
(in Polish) Opis nakładu pracy studenta w ECTS
Subject level
Learning outcome code/codes
Type of subject
Preliminary Requirements
Course coordinators
Term 2023/24_Z: | Term 2019/20_Z: | Term 2021/22_Z: | Term 2020/21_Z: | Term 2022/23_Z: | Term 2024/25_Z: |
Assessment criteria
For all learning outcomes, the following assessment criteria are adopted for all forms of verification:
grade 5: fully achieved (no obvious shortcomings),
grade 4.5: achieved almost fully and criteria for awarding a higher grade are not met,
grade 4: largely achieved and the criteria for a higher grade are not met,
grade 3.5: largely achieved - with a clear majority of positives - and the criteria for granting a higher grade are not met,
grade 3: achieved for most of the cases covered by the verification and criteria for a higher grade are not met,
grade 2: not achieved for most of the cases covered by the verification.
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: