Linear Algebra and Analytic Geometry, part 2

Major: System Analysis
Code of subject: 6.124.00.O.012
Credits: 4.00
Department: Mathematics
Lecturer: Kuchma M.I.
Semester: 2 семестр
Mode of study: денна
Learning outcomes: Learning outcomes • solving tasks on the straight line and the plane in space; • solving the problems of the theory of linear spaces • solve problems of the theory of linear operators; • reduce quadratic forms to canonical and normal views; • apply the theory of quadratic forms to the construction of general equations of curves and surfaces of the second order to the canonical form.
Required prior and related subjects: Algebra, Geometry - school course Linear algebra and analytic geometry, part1 Probability theory and mathematical statistics, Differential equations and equations of mathematical physics Methods of optimization and research of operations Decision theory
Summary of the subject: The course "Linear algebra and analytic geometry, Part 2" consists of the following topics: "Analytic Geometry in space", "Linear spaces", "Linear operators", "Quadratic forms and their applications".
Assessment methods and criteria: Student knowledge testing is carried out by means of oral questioning in practical classes, control and independent work in the virtual of learning environment, the terminologicals of dictations, individual calculation and graphic works. Current control – 30 points Examination Control –70 points Total for discipline –100 points.
Recommended books: 1. Bilonoga D.M., Kalenyuk P. I. Algebra and geometry: Teaching. manual. Lviv: Lviv Polytechnic Publishing House, 2014. 380 p. 2. Bugrov Ya. S., Nikol'skij S. M. Higher mathematics: academic. t.1 Moscow: Drofa, 2004. 288 p. 3. Dubovik V.P., Yurik I.I. Higher Mathematics: Collection of Problems: Teaching. manual. Kyiv: ASK, 2005. 480 p. 4. Efimov NV Brief course of analytic geometry: academic. allowance Moscow: Fizmatlit, 2005. 240 p. 5. Завало С.Т. Elements of analysis. Algebra of polynomials. Kyiv: Soviet school, 1972. 464 pp. 6. Zavalo S. T., Levishchenko S.S., Pileev V. V., Rokitsky I. A. Algebra and the theory of numbers: a practical workshop. Part 1 Kyiv: Higher school, 1983. 232 p. 7. Zaitseva L. L., Netreba A.V. Analytical geometry in examples and problems: curriculum. manual. Kyiv: Publishing and Printing Center "Kyiv University", 2008. 200 p. 8. Collection of problems in linear algebra and analytic geometry. / Ed. Yu K. Rudavsky, 2nd form. Lviv: RASTR-7, 2009. 288 p. 9. Zelesko VR, Zelisko GV Linear algebra and analytic geometry. Workshop: tutor. manual. Lviv: LNU named after Ivan Franko, 2014, 374 pp. 10. Zelisko V.R., Zelisko G.V. Fundamentals of linear algebra and analytic geometry: curriculum. manual. Lviv: LNU named after Ivan Franko, 2011, 326 pp. 11. Ilyin V.A., Poznyak E. G. Analytical geometry: educational. Moscow: Science, 1988. 224 p. 12. Kanatnikov A.N., Kryshchenko A.P. Linear algebra: academic. allowance / Ed. V. S. Zarubina, A. P. Kryshchenko. Moscow: Publishing-house of MGTU them. N. E. Bauman, 2002. 336 p. 13. Kletenik D.V. Еxercises in Analytical Geometry: Academic. allowance Moscow: Nauka, 1975. 240 p. 14. Kuchma M.I. Еxercises in linear algebra and analytic geometry. Lviv: SPOLOM, 2018, 380 p. 15. Naziyev E. H., Vladimirov V. M., Mironets O. A. Linear algebra and analytic geometry: curriculum. manual. Kyiv: Lybid, 1997. 152 p. 16. Rudavsky Yu. K., Kostroby P. P., Lunyk H.P., Wukhanska D.V. Linear algebra and analytical geometry: curriculum. under the arm. Lviv: Beskid Beat, 2002. 262 p. 17. Еxercises of individual assignments in higher mathematics: study. allowance / Ed. A. P. Ryabushko. Minsk: Higher school, 1990. 271 pp. 18. Fadeev D. K., Sominsky I. S. Еxercises in higher algebra: educational. allowance Moscow: Fizmatlit, 1972. 304 p. 19. Horn R., Johnson C. Matrix analysis. / Per. from english Moscow: World, 1989. 655 p.