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Mathematical Analysis III

General data

Course ID:	360-MS1-2AM3a
Erasmus code / ISCED:	(unknown) / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Mathematical Analysis III
Name in Polish:	Mathematical Analysis III
Organizational unit:	Faculty of Mathematics
Course groups:
ECTS credit allocation (and other scores):	(not available) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Type of course:	obligatory courses
Mode:	(in Polish) w sali
Short description:	Analysis of multivariable functions: limits, continuity, partial and directional derivatives, derivative, higher order partial derivatives, Taylor expansion, local extrema, conditional extrema, integration, change of variables
Full description:	Course profile: academic Form of study: stationary Course type: obligatory Academic discipline: science and natural science, field of study in the arts and science: mathematics Year: 2, semester: 3 Prerequisities: Mathematical Analysis II, Linear Algebra II lecture 45 h. exercise class 60 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 8 Balance of student workload: attending lectures15x3h = 45h attending exercise classes 30x2h = 60h preparation for classes 15x3h = 45h completing notes after exercises and lectures 15x1h = 15h consultations 15x1h = 15h the final examination: preparation.and take 12h + 4h = 16h Quantitative description Direct interaction with the teacher: 120 h., 5 ECTS
Bibliography:	1. Rudin, Walter: Principles of Mathematical Analysis 2. Maurin, Krzysztof: Analysis I
Learning outcomes:	Learning outcomes: Can integrate function of several variables.K_U07, K_U10, K_U11, K_U13, K_U14, K_W02, K_W04, K_W05, K_W07 Knows Stokes theorem, can apply it and understands vector versions of this theorem.K_U12, K_U13, K_U14, K_U18, K_U24, K_W02, K_W04, K_W05, K_W07 Knows definitions and basic properties of operators such as gradient, rotation and divergence.K_U16, K_U17, K_W02, K_W04, K_W05 Knows and can apply differential calculus of functions of several variables: knows basic theorems in this topic.K_U12, K_W02, K_W04, K_W05, K_W07 Possesses basic knowledge on the spaces of continuous linear and multilinear maps.K_U16, K_U17, K_W02, K_W04, K_W05
Assessment methods and assessment criteria:	The overall form of credit for the course: final exam

Classes in period "Academic year 2025/2026" (future)

Time span:	2025-10-01 - 2026-06-30	Selected timetable range: weekly course term Go to timetable
Type of class:	Class, 30 hours more information Lecture, 30 hours more information
Coordinators:	Tomasz Czyżycki, Tomasz Goliński
Group instructors:	Tomasz Czyżycki, Tomasz Goliński
Students list:	(inaccessible to you)
Credit:	Course - Examination Class - Grading

Course descriptions are protected by copyright.
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