Infopaket

Linear algebra and analytic geometry

ОК 3

Обов’язкова дисципліна для ОП

First

2023/2024

1 Semester

4

As a result of studying the discipline, the student acquires the following competencies: Knowledge: theoretical foundations of linear, vector algebra and analytic geometry, concepts of algebraic structures and complex numbers. Ability: perform operations on matrices, check for compatibility and solve systems of linear algebraic equations, find eigenvalues and eigenvectors of a linear operator, perform operations on vectors, compose different types of equations of a line and a plane, investigate the shape of a curve and surface of the 2nd order according to its equation, construct the specified lines and surfaces in the coordinate system, determine their relative location. Communications: the ability to justify own view on the problem being solved, to report the results of own work.

Full-time form

There are no previous requirements for the discipline

The program of the discipline "Linear algebra and analytic geometry" covers the main sections of linear, vector algebra and analytic geometry, attention is paid to the study of algebraic structures and complex numbers. The goal of studying the discipline is the formation of students' basic mathematical knowledge and competencies for solving problems in professional activities, analytical thinking skills and mathematical formulation of applied problems.

. Bezuschak O.O., Ganyushkin O.G., Kochubinska E.A. Educational guide on linear algebra for students of the Faculty of Mechanics and Mathematics. Kyiv: PPC «Kyyivsʹkyy universytet», 2019. 224 p. (in Ukrainian) 2. Mathematics at a technical university: Textbook / I. V. Alekseeva, V. O. Gaidei, O. O. Dykhovychny, L. B. Fedorova; under the editorship O. I. Klesova; KPI named after Igor Sikorsky. Kyiv: "Condor" Publishing House, 2018. Vol. 1. 496 p. (in Ukrainian) 3. Denysiuk V. P., Repeta V. K. Higher mathematics. Textbook: in 2 p. Part 1. Kyiv: NAU, 2013. 472 p. (in Ukrainian)

Lectures, practical activities, individual work

The level of achievement of the planned learning outcomes is defined as the total grade for the student's work in the semester and the result of the final control in the form of a written exam. The condition for receiving a positive final grade for a discipline is to achieve at least 60% of the maximum possible number of points - 60 points out of 100. The student is allowed to take the exam on the condition that he completes the 13 practical works provided for in the plan, an essay and two modular control works, which in the end must be at least the recommended minimum of 36 points (60% of the maximum possible number of points that the student can receive for the work in the semester). The exam is conducted in the form of a test with 20 questions, among which 40% are theoretical and 60% are practical. To receive a positive grade, a student must receive at least 24 points (60% of the maximum possible number of points) on the exam.

Ukrainian