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

Module name: Mathematical Analysis II
Module code: W4-FZ-S1-2-23-07
Programme code: W4-S1FZ19.2025
Semester: summer semester 2025/2026
Language of instruction: Polish
Form of verification: exam
ECTS credits: 8
Purpose and description of the content of education:
The aim of the lecture is to introduce students to real analysis of functions of multiple variables as well as the theory of ordinary and partial differential equations. The goal of the tutorial is to acquire the ability to analyze real functions of multiple variables and differential equations 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 differential and integral calculus of many variable functions as well as theory of ordinary and partial differential equations. [E1]
 W05 [1/5]
The student is able to analyze real-valued functions of many variables and differential equations. [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)