Linear algebra and analytic geometry

Course: Optotechnique

Structural unit: Faculty of Physics

Title
Linear algebra and analytic geometry
Code
ОК 14.
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2021/2022
Semester/trimester when the component is delivered
5 Semester
Number of ECTS credits allocated
7
Learning outcomes
- Understand the application of methods and techniques of analysis, design and research, as well as the limitations of their use - Be able to apply basic mathematical knowledge used in physics, optics and laser physics: analytical geometry, linear algebra, mathematical analysis, differential and integral equations, theory probabilities and mathematical statistics, methods of mathematical physics, theory of functions of a complex variable, mathematical modeling.
Form of study
Full-time form
Prerequisites and co-requisites
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.
Course content
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
Recommended or required reading and other learning resources/tools
1.Придатченко Ю.В., Львов В.А. Алгебра для фізиків: вектори і координати: Навч. посібник. − Видавничо–поліграфічний центр “Київський університет”., 2002. − 87 с.
Planned learning activities and teaching methods
Lectures, practicals, consultations.
Assessment methods and criteria
Tests, modular control.
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Stanislav Vilchinskii
DEPARTMENT OF QUANTUM FIELD THEORY
Faculty of Physics

Departments

The following departments are involved in teaching the above discipline

DEPARTMENT OF QUANTUM FIELD THEORY
Faculty of Physics