Algebra I
General data
| Course ID: | 0600-MS1-2ALG1#a | Erasmus code / ISCED: |
11.102
 /
(0541) Mathematics
|
| Course title: | Algebra I | Name in Polish: | Algebra I |
| Department: | (in Polish) Zakład Algebry | ||
| Course groups: |
(in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe |
||
| ECTS credit allocation (and other scores): |
4.00  view allocation of credits |
||
| Language: | English | ||
| Type of course: | obligatory courses |
||
| Prerequisites: | Elementary Number Theory 0600-MS1-1ETL#a |
||
| Short description: |
Course objectives: A student can recognize the structure of a group (a ring, a field) in well-known algebraic objects. The student can formulate well-known mathematical facts in the language of group and ring theory. |
||
| 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: Linear Algebra II, Elementary Number Theory lecture 30 h. exercise class 30 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 4 Balance of student workload: attending lectures15x2h = 30h attending exercise classes 7x4h + 2h(preliminary teaching) = 30h preparation for classes 7x3h = 21h completing notes after exercises and lectures 7x2h = 14h consultations 5x2h = 10h the final examination: preparation.and take 15h + 4h = 19h Quantitative description Direct interaction with the teacher: 74 h., 2 ECTS Practical exercises: 75 h., 3 ECTS |
||
| Learning outcomes: |
Learning outcomes: A student knows that algebraic structures, which are known, are important in a variety of mathematical theories.K_U17, K_W05, K_W03 A student knows the basic concepts of algebra and can provides appropriate examples (permutation groups, polynomial rings, fields GF(p^n)).K_W03 A student is able to formulate the most important theorems of abstract algebra, in particular the fundamental theorem of algebra. A student knows importance of this theorem.K_W04, K_W02 A student knows how to apply abstract algebra in a variety of branches of mathematics (for example, Fermat’s little theorem in number theory).K_U17 A student knows how to use the main theorems of abstract algebra to solve standard exercises.K_U17, K_U38 A student understands problems formulated in the language of abstract algebra.K_W04, K_W05 A student sees parallels between the properties of various algebraic structures.K_W04, K_W05, K_U37 A student can indicate a specific example of the use of algebra in real life (for example, in cryptography).K_U25, K_U17 |
||
| 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 |
 
 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 |
Copyright by University of Bialystok.