Functional Analysis (System Analysis)

Type: Normative

Department: computational mathematics




SemesterAmount of hoursLecturerGroup(s)
434ArrayPMa-21, PMa-22

Laboratory works

SemesterAmount of hoursGroupTeacher(s)
PMa-22S. P. Shevchuk

Course description

Purpose  The main idea is the presentation of base concepts and approaches of modern functional analysis.

Short description  As a consequent refinement of mathematical analysis this course is intended traditionally for students at the department of applied mathematics and computer sciense. The course includes the series of lectures and practical studies specified of some tasks realization by students.

Representation  In the process of  functional analysis study students become familiar not only with abstract concepts of spaces and linear operators but also assimilate recent approaches of investigation and numerical solution of operator equations which are used for the statement of applied mathematics problems in most cases.

As a result students must

  • know: fundamental notions in the theory of linear and normed spaces, spaces with inner product, Banach and Hilbert spaces;
  • be master of: ways of the best approximation construction, ways of linear operators and functionals investigation, methods of inverse and ajoint operators finding and investigation in various functional spacts.