Code – 230100 Information and computer science; section: Software of computer equipment and automation systems
Qualification (degree) – Master
Description of course modules (sections, subjects):
- Concept of a limit, continuity, differentiability and analyticity of functions of a complex variable.
- Cauchy theorem and integral representation of functions of a complex variable.
- Taylor and Laurent series for functions of a complex variable.
- Theory of residues for functions of a complex variable.
- Theory of conformal representation.
- Application of the theory of functions of a complex variable to mechanics problems.
Syllabus of the course:
Objective of the course: introduction of students to key concepts and results of the theory of functions of a complex variable, application of methods of complex analysis and algorithms based thereon to solution of scientific and application problems.
Tasks of the course
The course is aimed at:
- study of a concept of an analytical function which is fundamental for mathematics and its applications,
- development of a technique for differential and integral calculus for functions of a complex variable,
- study of integral representation for functions of a complex variable,
- study of expansion of functions of a complex variable into Taylor and Laurent series,
- study of the theory of residues for functions of a complex variable,
- study of the theory of conformal representation,
- familiarity with application of methods of complex analysis to problems of natural science and engineering.
The course in included in optional courses of a general scientific cycle attributed to the master’s degree educational standard.
As a result of studying the course a student should:
- know key concepts of differential and integral calculus, theory of expansion into series and theory of residues of functions of a complex variable,
- be able in practice apply results of the theory of functions of a complex variable in mathematical problems,
- have skills of application of methods of complex analysis to problems of natural science and engineering,
- show ability and readiness to solve problems of complex analysis as applied to various subject areas.
Teaching methods:
- lectures,
- laboratory work,
- students’ independent work performed according to the teacher’s task in classrooms and on an extracurricular basis, including use of technical training aids (compulsory),
- tutorials.
Total hours – 108.
Total credits – 3.
Laboratory work – 1/36.
Form of interim assessment – pass/fail exam.
Code – 230100 Information and computer science; section: Software of computer equipment and automation systems
Qualification (degree) – Master
Description of course modules (sections, subjects):
- Establishment and development of the social information system in Russia.
- Cognitive sociology.
- Internet: social aspects of global communication.
- Social prerequisites, problems and consequences of setting up a unified information and telecommunications system in Russia.
- Information comfort of a personality: a problem of sociological measurement.
- Social problems of development of the Russian information market.
- Social and cultural development in times of informatization.
Syllabus of the course:
Objective of the course: sociological analysis of key areas of introduction on information science in public and social areas, influence of information science on social phenomena in society, influence of social environment on solving tasks of information science, introduction of decision support systems, systems of society’s information security using methods of information science in sociology.
Tasks of the course
The course is aimed at:
- social and social/information processes in terms of informatization (globalization of social processes and their relations with a particular lifeworld of a personality,
- information production; information fashion, information consumption,
- information influence, including zombieing; atomization of society, information competition, information wars,
- social impact and significant changes in society as a result of informatization,
- social conditions and background of informatization,
- focus of informatization on society and its humanistic orientation,
- phenomena and relations between society and information science.
As a result of studying the course a student should:
- know basic concepts, basic provisions of key sociological concepts, characteristics and trends in evolution of information society,
- be able to apply in practice sociological knowledge to analyze social reality, adopt management decisions,
- have skills of empiric research in information technologies,
- show background and profession-oriented competences acquired as a result of study of the course in its practical professional activity.
The course in included in a profession-oriented part of a general scientific cycle of courses attributed to the master’s degree educational standard.
Teaching methods:
- lectures,
- laboratory work,
- classroom practical work directed by a professor,
- students’ independent work performed according to the teacher’s task in classrooms and on an extracurricular basis, including use of technical training aids (compulsory),
- tutorials.
Total hours – 108.
Total credits – 3.
Laboratory work – 0.5/18.
Form of interim assessment – pass/fail exam.