Infopaket

Linear Algebra and Analytical Geometry

ОК 6.

Обов’язкова дисципліна для ОП

First

2021/2022

1 Semester

4

Know the concept of vector: scalar, vector, mixed and double vector products Know the theory of matrices and determinants, systems of linear equations Know the basic properties of second-order curves, lines and planes, surfaces of rotation Be able to calculate the determinant of the matrix, perform actions on matrices, calculate the rank of the matrix, find the inverse matrix Be able to solve systems of linear algebraic equations Be able to analyze general equations on the plane and in space, build second-order curves, canonize second-order curves Ability to be an active participant in discussions Present the results of independent work in the format of oral and / or written messages with / without the use of visual aids Find the information you need from a variety of sources

Full-time form

1. Know the basics of algebra, the beginning of analysis, trigonometry, geometry. 2. Be able to solve problems in algebra, geometry, trigonometry, plan your own work and evaluate its results and consequences. 3. Have the skills to study literature, work with interactive and multimedia tools, interact with colleagues during training.

Module 1 Matrix theory. 1. Matrices. Introduction. 2. Determinant of a square matrix. Matrices and determinants. 3. The rank of the matrix. 4. Multiplication of matrices Module 2 Systems of linear algebraic equations (SLAR) 1. Systems of linear algebraic equations 2. Lines and surfaces of the first order

1. Придатченко Ю.В., Львов В.А. Алгебра для фізиків: вектори і координати: Навч. посібник. − Видавничо–поліграфічний центр “Київський університет”., 2002. − 87

Lectures, practicals, consultations.

Tests, modular control.

Ukrainian