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Mathematical Analysis IV

General data

Course ID: 0600-MS1-2AM4#a Erasmus code / ISCED: 11.102 / (0541) Mathematics
Course title: Mathematical Analysis IV Name in Polish: Mathematical Analysis IV
Department: Faculty of Mathematics and Informatics
Course groups: (in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 5.00
view allocation of credits
Language: English
Type of course:

obligatory courses


Linear Algebra II 0600-MS1-1AL2#a
Mathematical Analysis III 0600-MS1-2AM3#a

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: facultative

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

Year: 2, semester: 4

Prerequisities: Mathematical Analysis III, Linear Algebra II

lecture 30 h. exercise class 30 h.

Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups.

ECTS credits: 5

Balance of student workload:

attending lectures15x2h = 30h

attending exercise classes 7x4h + 2h(preliminary instructions) = 30h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x1h = 5h

home works: solving exercises 15x2h = 30h

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

Quantitative description

Direct interaction with the teacher: 69 h., 2 ECTS

Practical exercises: 100 h., 3 ECTS

Learning outcomes:

Learning outcomes:

Knows the notion of Lebesgue integral and its relation to Riemann integral.K_U06, K_U13, K_W02, K_W03, K_W04, K_W06, K_W07

Understands the notion of decomposition of unity and knows how to apply it.K_U09, K_U11, K_U12, K_U23, K_W02, K_W04, K_W05

Knows and understands the notion of differentiable manifold submerged in R^n and of differential form; knows operations on forms.K_U16, K_U17, K_U18, K_U23, K_W02, K_W04, K_W05

Knows the notion and basic properties of Fourier transform.K_U10, K_U12, K_U13, K_U14, K_U15, K_W02, K_W04, K_W07

Assessment methods and assessment criteria:

The overall form of credit for the course: final exam

Classes in period "Academic year 2018/2019" (in progress)

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

see course schedule
Type of class: Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Jarosław Kotowicz
Group instructors: (unknown)
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
Copyright by University of Bialystok.