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Linear Algebra I

General data

Course ID: 0600-MS1-1AL1 Erasmus code / ISCED: 11.101 / (unknown)
Course title: Linear Algebra I Name in Polish: Algebra liniowa I
Department: (in Polish) Zakład Algebry
Course groups: (in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 6.00
view allocation of credits
Language: Polish
Type of course:

obligatory courses

Short description:

Course objectives: Introduction to the basic linear algebra sections as axiomatic theory, the ability to command statements using the axioms and previously proved theorems. Linear algebra is the basis to understand lectures in other branches of mathematics, especially functional analysis and numerical methods.The aim of the lecture is to reach the students knowledge of the material presented in the lecture content level.- Understanding of the concepts introduced and the content of the allegations and evidence- Citation and analyze relevant examples.

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 30 h. exercise class 45 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 15x3h = 45h

preparation for classes 15x2h = 30h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x2h = 10h

the final examination: preparation.and take 12h + 6h = 18h

Quantitative description

Direct interaction with the teacher: 91 h., 3 ECTS

Practical exercises: 99 h., 3 ECTS

Bibliography: (in Polish)

1. R.R. Andruszkiewicz, Wykłady z algebry liniowej I, Wydawnictwo

Uniwersytetu w Białymstoku, Białystok 2005.

2. G. Banaszak, W. Gajda, Elementy algebry liniowej I i II, Wydawnictwo

Naukowo-Techniczne, Warszawa 2002.

3. A. Białynicki-Birula, Algebra, Wydawnictwo Naukowe PWN,

Warszawa 2009.

4. J. Gancarzewicz, Algebra liniowa i jej zastosowania, Wydawnictwo

Uniwersytetu Jagiellońskiego, Kraków 2004.

5. A.I. Kostrykin, Wstęp do algebry 2, Algebra liniowa, Wydawnictwo

Naukowe PWN, Warszawa 2004.

6. red. A.I. Kostrykin, Zbiór zadań z algebry, Wydawnictwo Naukowe

PWN, Warszawa 2005.

7. A. Mostowski, M. Stark, Algebra wyższa, część I, Wydawnictwo

Naukowe PWN, Warszawa 1953.

8. A. Mostowski, M. Stark, Elementy algebry wyższej, Wydawnictwo

Naukowe PWN, Warszawa 1974.

Learning outcomes:

Learning outcomes:

A student knows definitions and examples of key algebraic structures.K_U17, K_W02, K_W05, K_W04

A student understands the concepts of linear algebra.K_U16, K_W04, K_W02, K_W05

A student is proficient in the use of complex numbers.K_U17

A student knows well matrix analysis.K_U17, K_U18, K_U21

A student knows and understands a concept of linear mappings and their matrices in ordered bases.K_U16, K_U17, K_W02, K_W04, K_W05, K_U20, K_U21

A student solves systems of linear equations.K_U19

A student understands that modern technologies result from scientific discoveries, including discoveries in linear algebra.K_K08

Assessment methods and assessment criteria:

The overall form of credit for the course: final exam

Classes in period "Academic year 2017/2018" (in progress)

Time span: 2017-10-01 - 2018-06-30
Choosen plan division:

see course schedule
Type of class: Class, 60 hours more information
Lecture, 30 hours more information
Coordinators: Romuald Andruszkiewicz, Jarosław Kotowicz
Group instructors: Romuald Andruszkiewicz, Małgorzata Hryniewicka
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
Copyright by University of Bialystok.