Algebra and Geometry

Course: Applied Mathematics

Structural unit: Faculty of Computer Science and Cybernetics

Title
Algebra and Geometry
Code
ОК.11
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
2 Semester
Number of ECTS credits allocated
14
Learning outcomes
PH 14 Demonstrate the ability to self-study and continue professional development РН 18. Communicate effectively on information, ideas, problems and solutions with professionals and society as a whole
Form of study
Full-time form
Prerequisites and co-requisites
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.
Course content
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.
Recommended or required reading and other learning resources/tools
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
Planned learning activities and teaching methods
1 semester, 210 hours, (7 ECTS credits), in particular: lectures - 50 hours, practical classes - 50 hours, consultations - 2 hours, independent work - 108 hours. 2nd semester 210 hours, (7 ECTS credits) in particular: lectures – 52 hours, practical classes – 52 hours, consultations – 4 hours, independent work – 102 hours.
Assessment methods and criteria
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).
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Alexander V. Marynych
Operations Research
Faculty of Computer Science and Cybernetics
Oksana A. Braganets
Operations Research
Faculty of Computer Science and Cybernetics
Ihor V. Samoilenko
Operations Research
Faculty of Computer Science and Cybernetics
Andrii V. Zavorotynskyi
Operations Research
Faculty of Computer Science and Cybernetics
Tetiana I. Shakotko
Operations Research
Faculty of Computer Science and Cybernetics