Algebra I 360-MS1-2ALG1
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
Type of course
Prerequisites
Prerequisites (description)
Course coordinators
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 criteria
The overall form of credit for the course: final exam
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: