Infopaket

Linear Algebra and Analytical Geometry

ОК 6.

Обов’язкова дисципліна для ОП

First

2023/2024

2 Semester

3

Know the basic concepts of linear space, Euclidean and unitary spaces Know the basic concepts of linear operators in Euclidean and unitary spaces Be able to find the transition matrix, Gram matrix, build an orthonormal basis (Gram-Schmidt process) Be able to calculate eigenvalues ​​and vectors, canonize symmetric bilinear forms Apply the acquired knowledge in professional activities Demonstrate the ability to work in a team and independently Present the results of independent work in the format of oral and / or written messages with / without the use of visual aids

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.

Content module 3 Linear spaces 1. Linear spaces. Lines and surfaces of the second order. 2. Linear operators in Euclidean and unitary spaces. Functions on vector spaces. Content module 4 Linear operators 3. Linear mappings and operators. 4. Bilinear and quadratic forms

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

Lectures, practicals, consultations.

Tests, modular control.

Ukrainian