Бакалавриат
2026/2027
Линейная алгебра
Статус:
Курс обязательный (Международный бизнес)
Где читается:
Высшая школа бизнеса
Когда читается:
1-й курс, 1 модуль
Охват аудитории:
для своего кампуса
Язык:
английский
Кредиты:
3
Контактные часы:
48
Course Syllabus
Abstract
During this course, students will become familiar with the theoretical foundations and key methods of the following topics: matrices, systems of linear equations, matrix inversion and determinants, pseudoinverse matrices, normal pseudosolutions of systems of equations, and linear programming problems. Knowledge of the basic topics of linear algebra is essential for further study of modern methods of data processing and analysis, economic-mathematical models, and is also used in other economic and mathematical disciplines.
Learning Objectives
- To ensure that students master the theoretical foundations, basic results, and theorems of linear algebra, as well as the fundamental mathematical techniques and rules for solving various mathematical problems based on their acquired theoretical knowledge.
- To develop students' skills in solving typical problems that facilitate the mastery of basic concepts, as well as problems that contribute to the development of basic scientific research skills.
- To develop the ability to think logically, manipulate abstract objects, and correctly use mathematical concepts and symbols to express quantitative and qualitative relationships.
- To prepare students to work with economic theory models and data analysis.
Expected Learning Outcomes
- Calculating the determinant of a matrix
- Calculating the determinant
- Ability to use the properties of the determinant
- Solving matrix equations
- Finding the inverse matrix;
- The ability to study SLAE using Cramer's formulas
- Solves systems of linear equations using the Gauss method
- Ability to calculate the pseudoinverse of a matrix and find a normal pseudosolution of a system of linear equations
- Ability to solve simple linear programming problems
- Ability to find solutions to dual linear programming problems using duality theorems
Course Contents
- Matrix algebra
- Systems of linear equations
- Normal pseudosolutions of systems of linear equations and pseudoinverse matrices
- Elements of linear programming
Bibliography
Recommended Core Bibliography
- Linear algebra for economists, Aleskerov, F., 2011
- Введение в алгебру. Ч.1: Основы алгебры, Кострикин, А. И., 2020
- Гельфанд, И. М. Алгебра : учебное пособие / И. М. Гельфанд, А. Шень. — 2-е изд., испр. и доп. — Москва : МЦНМО, 2009. — 14 с. — ISBN 978-5-94057-450-7. — Текст : электронный // Лань : электронно-библиотечная система. — URL: https://e.lanbook.com/book/9322 (дата обращения: 00.00.0000). — Режим доступа: для авториз. пользователей.
- Лекции по аналитической геометрии, пополненные необходимыми сведениями из алгебры : с прил. собр. задач, снабженных решениями, сост А. С. Пархоменко : учебник, Александров, П. С., 1968
Recommended Additional Bibliography
- Введение в алгебру. Ч.2: Линейная алгебра, Кострикин, А. И., 2018
- Введение в алгебру. Ч.3: Основные структуры алгебры, Кострикин, А. И., 2012