Algebra I

General data

Course ID:	0600-MS1-2ALG1#a
Erasmus code / ISCED:	11.102 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Algebra I
Name in Polish:	Algebra I
Organizational unit:	(in Polish) Instytut Matematyki.
Course groups:
ECTS credit allocation (and other scores):	(not available) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Type of course:	obligatory courses
Prerequisites:	Elementary Number Theory 0600-MS1-1ETL#a Linear Algebra II 0600-MS1-1AL2#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

This course is not currently offered.

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