Infopaket

Algebra and Geometry

OK.09

Обов’язкова дисципліна для ОП

First

2022/2023

2 Semester

14

ПР 01. Know and be able to apply in practice differential and integral calculus, Fourier series and integrals, analytic geometry, linear algebra and vector analysis, functional analysis and discrete mathematics to the extent necessary to solve typical problems of system analysis. ПР 09. To be able to create effective algorithms for computational problems of system analysis and decision-making systems. ПР 015. Understand Ukrainian and foreign languages at a level sufficient for processing professional informational and literary sources, professional oral and written communication, writing texts on professional topics.

Full-time form

To study the discipline "Algebra and Geometry" the student must know the school courses of the disciplines of geometry, algebra and basics of analysis, be able to use the basic apparatus of these disciplines.

The subject of the discipline "Algebra and Geometry" is the study of basic methods for solving problems in analytic geometry, methods for solving systems of linear equations, the basic properties of linear spaces. The discipline is a prerequisite for the study of such disciplines "Operations Research", "Functional Analysis" and others.

1. Efimov N.V. Short course on analytical geometry. M.: Nauka, 1969. - 272 p. 2. Kurosh A.D. Higher algebra. M. Nauka, 1984 3. Charin V.S. Linear algebra. K.: Tehnika, 2003. 4. Kostrikin A.I. Introduction to algebra, M.: Fizmatlit, 2000 5. Vinberg E.B. Course of algebra, M.: Factorial, 2002 6. Kletenik I.V. Problem book on analytical geometry. M.: Nauka, 1987 7. Proskuryakov I.V., Problem book on linear algebra, M.: Nauka 1984 8. Faddeev D.K., Sominsky I.S., Problem book on higher algebra, M.: Nauka, 1977 9. Beklemishev D.V., Course on analytical geometry and linear algebra, M.: Nauka, 1985 10. Ikramov H.D., Problem book on linear algebra, M.: Nauka, 1975 11. Ilyin V.A., Poznyak E.G., Linear algebra, M.: Nauka, 1984 12. Zuberbiller O.N., Problems and exercises on analytical geometry, M.: Nauka, 1970 13. http://do.unicyb.kiev.ua/index.php/uk/2011-01-03-16-37-54?task=download&cid[0]=42

1 semester, 180 hours, (7 ECTS credits), in particular: lectures - 42 hours, practical classes - 42 hours, consultations - 2 hours, independent work - 94 hours. 2nd semester 240 hours, (7 ECTS credits) in particular: lectures – 50 hours, practical classes – 50 hours, consultations – 2 hours, independent work – 138 hours.

Semester assessment: Maximum number of points that can be obtained by a student: 100 points: First semester 1. Test work № 1: PH 1.1, PH 2.1, - 27/15 points. 2. Test work № 2: PH 1.2, PH 1.3, PH 1.4, PH PH 2.2, PH 2.3 - 27/15 points 3. Points for the working on problem sessions 6/0 points Second semester 1. Test work № 1: PH 1.5, PH 2.4 - 27/15 points. 2. Test work № 2: PH 1.6, PH 1.7, PH 2.5, PH 2.6 - 27/15 points 3. Points for the working on problem sessions 6/0 points Final assessment (in the form of an exam): - Maximum number of points that can be obtained by a student: 40 points. - Learning outcomes to be evaluated: PH 1.1, PH 1.2, PH 1.3, PH 1.4, PH 2.1, PH 2.2, PH 2.3 (first semester); PH 1.5, PH 1.6, PH 1.7, PH 2.5, PH 2.6 (second semester) - Form of conducting: written. - Types of tasks: 4 written tasks (2 theoretical questions and 2 practical tasks).

Ukrainian