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Mathematical Analysis III

General data

Course ID: 0600-MS1-2AM3 Erasmus code / ISCED: 11.102 / (unknown)
Course title: Mathematical Analysis III Name in Polish: Analiza matematyczna III
Department: (in Polish) Instytut Matematyki
Course groups: (in Polish) 2 rok 1 stopnia sem. zimowy Matematyka spec. Teoretyczna
(in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 8.00
view allocation of credits
Language: Polish
Type of course:

obligatory courses


Mathematical Analysis II 0600-MS1-1AM2


Linear Algebra II 0600-MS1-1AL2


(in Polish) w sali

Short description:

Course objectives: Knowledge of material related to presented contents:

a)       understanding introduced notions and theorems

b)       knowledge of presented proofs

c)       giving appropriate examples

d) solving computational problems

Full description:

Course profile: academic

Form of study: stationary

Course type: obligatory

Academic discipline: Mathematics, field of study in the arts and science: mathematics

Year: 2, semester: 3

Prerequisities: Mathematical Analysis II, Linear Algebra II

lecture 60 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 lectures15x4h = 60h

attending exercise classes 15x4h = 60h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x1h = 5h

home works: solving exercises 45h = 45h

the final examination: preparation.and take 12h + 4h = 16h

Quantitative description

Direct interaction with the teacher: 129 h., 4 ECTS

Practical exercises: 145 h., 5 ECTS

Bibliography: (in Polish)

1. W.Rudin, "Podstawy analizy matematycznej'', Wydawnictwo naukowe PWN, Warszawa 1998,

2. K. Maurin, "Analiza " , PWN, Warszawa 1977,

3.M.Spivak, "Analiza na rozmaitościach ", Wydawnictwo naukowe PWN, Warszawa 2005,

4.L.Schwartz ''Kurs analizy matematycznej'',PWN, Warszawa 1980,

5.A.Birkholc,''Analiza matematyczna. Funkcje wielu zmiennych'',Wydawnictwo naukowe PWN, Warszawa 2002.

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 2018/2019" (past)

Time span: 2018-10-01 - 2019-06-30
Choosen plan division:

see course schedule
Type of class: Class, 90 hours more information
Lecture, 60 hours more information
Coordinators: Tomasz Goliński
Group instructors: Tomasz Goliński
Students list: (inaccessible to you)
Examination: Course - Examination
Class - Grading

Classes in period "Academic year 2019/2020" (past)

Time span: 2019-10-01 - 2020-06-30
Choosen plan division:

see course schedule
Type of class: Class, 90 hours more information
Lecture, 60 hours more information
Coordinators: Maciej Horowski
Group instructors: Maciej Horowski
Students list: (inaccessible to you)
Examination: Course - Examination
Class - Grading
Course descriptions are protected by copyright.
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