Infopaket

Algebra and Geometry

OK.09

Обов’язкова дисципліна для ОП

First

2023/2024

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. Travkin Yu.I. Linear algebra and analitic geometry. Kh.: 2009. 2. Ordynska Z.P., Orlovskyi I.V., Runovska M.K., Synopsis of lectures on analytic geometry and linear algebra, 2014 3. Charin V.S. Linear algebra. K.: Tehnika, 2003. 4. Zavalo S.T., Levishchenko S.S., Pylaev V.V., Rokytskyi I.O. Algebra and number theory. Practice., K. 2000 5. Rudavskyi Y.K., Kostrobiy P.P., Lunyk H.P., Ukhanska D.V., Linear algebra and analytical geometry. Lviv: 2002 6. Edited by I.O. Rokitskoho, Collection of algebra problems 1.2.h, Vinnytsia, 2006 7. Carl.D.Meyer Matrix Analysis and Applied Linear Algebra 8. Bezuschak O.O., Ganyushkin O.G., Tasks for practical classes in linear algebra.K: CPKPI, 2010 9. Ake Bjorck Numerical Methods in Matrix Computations 10. Stang G. Linear algebra and its applications -2005 11. Bezuschak O.O., Ganyushkin O.G., Kochubinska E.A., Study guide on linear algebra K: 2019

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