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Mathematical Analysis I

General data

Course ID: 0600-MS1-1AM1#a Erasmus code / ISCED: 11.101 / (0541) Mathematics
Course title: Mathematical Analysis I Name in Polish: Mathematical Analysis I
Department: Faculty of Mathematics and Informatics
Course groups: (in Polish) 3L stac. I st. studia matematyki specj. matematyka teoretyczna – przedmioty obowiązkowe
ECTS credit allocation (and other scores): 10.00
view allocation of credits
Language: English
Type of course:

obligatory courses

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: 1, semester: 1

Prerequisities: none

lecture 60 h. exercise class 90 h.

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

ECTS credits: 9

Balance of student workload:

attending lectures15x4h = 60h

attending exercise classes 15x6h = 90h

preparation for classes 13x3h = 39h

completing notes after exercises and lectures 15x2h = 30h

consultations 5x1h = 5h

home works: solving exercises 15x2h = 30h

the final examination: preparation.and take 16h + 6h = 22h

Quantitative description

Direct interaction with the teacher: 161 h., 6 ECTS

Practical exercises: 184 h., 7 ECTS

Learning outcomes:

Learning outcomes:

Understands the notion of relation and can use it both to define mappings and equivalence relations.K_U05, K_U06, K_U09, K_W02, K_W04, K_W05

Knows the notion of a real number as a class of equivalence of a sequence of rational numbers; can define operations on real numbers.K_U08, K_W02, K_W04, K_W05

Can define subset: open, closed, connected and compact of a real line. Understands relations between these notions.K_U23, K_W02, K_W04, K_W05

Efficiently computes limits of sequences of real numbers. Applies basic theorems of thery of limits.K_U07, K_U10, K_W02, K_W04, K_W05

Knows a notion of a series, absolute and conditional convergence; applies efficiently convergence criteria of a series and knows Riemann theorem on limits of conditionally convergent series.K_U10, K_W02, K_W04, K_W05

Understands that R^n space is an example of metric space and is able to define basic notions related to this fact.K_U10, K_U23, K_W02, K_W04, K_W05

Understands the notion of continuous mapping and know basic theorems related to this notion.K_U10, K_U24, K_W02, K_W04, K_W05

Profiently computes limits of functions of one variable.K_U07, K_U10, 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" (in progress)

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: Jarosław Kotowicz
Group instructors: (unknown)
Students list: (inaccessible to you)
Examination: Pass/fail
Course descriptions are protected by copyright.
Copyright by University of Bialystok.