Бакалавриат
2022/2023
Методы линейной алгебры
Статус:
Курс обязательный (Международная программа по экономике и финансам)
Направление:
38.03.01. Экономика
Кто читает:
Международный институт экономики и финансов
Где читается:
Международный институт экономики и финансов
Когда читается:
3-й курс, 1, 2 модуль
Формат изучения:
с онлайн-курсом
Онлайн-часы:
16
Охват аудитории:
для своего кампуса
Преподаватели:
Букин Кирилл Александрович
Язык:
английский
Кредиты:
4
Контактные часы:
64
Course Syllabus
Abstract
This course is a continuation of Algebra MT1 173 which is taught for the second-year students. It lasts for one (fall) semester.
Learning Objectives
- Enable students to acquire further skills in the techniques of linear algebra
- Enable students to acquire further skills in the techniques of linear algebra,
- The discipline is intended to: • Enable students to acquire further skills in the techniques of linear algebra, • Prepare students for further courses in mathematics and related subjects like econometrics and actuarial science. Upon completion of Further Linear Algebra students will have to take the University of London (UoL) exam at the end of the sixth semester of their studies at ICEF.
- Prepare students for further courses in mathematics and related subjects like econometrics and actuarial science
- Prepare students for further courses in mathematics and related subjects like econometrics and actuarial science.
Expected Learning Outcomes
- find appropriate basis made of ordinary and generalized eigenvectors
- Apply classification of matrices and their properties, define spectral decomposition
- Apply concepts such as Gram-Schmidt process, orthogonality of vectors, orthonormal basis
- Apply techniques of diagonalization of symmetric matrices to classification of conic sections, quadratic forms classification
- Handle left, right inverses, then weak and strong generalized inverses
- Use theory of operator projections, primarily orthogonal
Course Contents
- Diagonalization, Jordan normal form and differential equations
- Inner products and orthogonality
- Orthogonal diagonalization and its applications
- Complex matrices and vector spaces
- Direct sums and projections
- Generalized inverses
Bibliography
Recommended Core Bibliography
- Linear algebra : concepts and methods, Anthony, M., 2012
Recommended Additional Bibliography
- Anton, H. (2014). Elementary Linear Algebra : Applications Version (Vol. 11th edition). Hoboken, NJ: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1639248