Mathematical Analysis I Field of study: Physics
Programme code: W4-S1FZ19.2025

Module name: Mathematical Analysis I
Module code: W4-FZ-S1-1-23-01
Programme code: W4-S1FZ19.2025
Semester: winter semester 2025/2026
Language of instruction: Polish
Form of verification: exam
ECTS credits: 8
Purpose and description of the content of education:
The goal of the lecture is to introduce students to the basics of logic and set theory, as well as to real analysis of functions of one variable, including differential and integral calculus. The goal of the tutorial is to acquire skills in analyzing real functions of a single variable based on the content presented in the lecture.
List of modules that must be completed before starting this module (if necessary): not applicable
Learning outcome of the module Codes of the learning outcomes of the programme to which the learning outcome of the module is related [level of competence: scale 1-5]
The student knows the elements of logic and set theory as well as differential and integral calculus of single variable functions. [E1]
 W05 [1/5]
The student is able to analyze real-valued functions of one variable. [E2]
 U01 [1/5]
The student is prepared to study further fields of mathematics. [E3]
 K04 [1/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [FZ1] 60 Formal lecture/ course-related lecture [a01]  exam E1 E3
discussion classes [FZ2] 60 Lecture-discussion [b02] 
Activating methods: a case study [b07]  		course work E2
The student's work, apart from participation in classes, includes in particular:
Name Category Description
Literature reading / analysis of source materials [a02] Preparation for classes
reading the literature indicated in the syllabus; reviewing, organizing, analyzing and selecting source materials to be used in class
Developing practical skills [a03] Preparation for classes
activities involving the repetition, refinement and consolidation of practical skills, including those developed during previous classes or new skills necessary for the implementation of subsequent elements of the curriculum (as preparation for class participation)
Production/preparation of tools, materials or documentation necessary for class participation [a05] Preparation for classes
developing, preparing and assessing the usefulness of tools and materials (e.g. aids, scenarios, research tools, equipment, etc.) to be employed in class or as an aid when preparing for classes
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)