Algebra I
General data
Course ID:  0600MS12ALG1#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 0600MS11ETL#a 

Short description: 
Course objectives: A student can recognize the structure of a group (a ring, a field) in wellknown algebraic objects. The student can formulate wellknown 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:  20181001  20190630 
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 
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