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Бакалавриат 2020/2021

Методы линейной алгебры

Направление: 38.03.01. Экономика
Когда читается: 3-й курс, 1, 2, 4 модуль
Формат изучения: с онлайн-курсом
Охват аудитории: для своего кампуса
Язык: английский
Кредиты: 4

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. Upon completion of Further Linear Algebra students will have to take the University of London (UoL) exam at the end of the fourth semester of their studies at ICEF.
Learning Objectives

Learning Objectives

  • 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.
Expected Learning Outcomes

Expected Learning Outcomes

  • find appropriate basis made of ordinary and generalized eigenvectors
  • 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
  • Use theory of operator projections, primarily orthogonal
  • Handle left, right inverses, then weak and strong generalized inverses
  • Apply classification of matrices and their properties, define spectral decomposition
Course Contents

Course Contents

  • Diagonalization, Jordan normal form and differential equations
  • Orthogonal diagonalization and its applications
  • Complex matrices and vector spaces
  • Direct sums and projections
  • Generalized inverses
  • Inner products and orthogonality
Assessment Elements

Assessment Elements

  • non-blocking home assignments
  • non-blocking mock
  • non-blocking December exam
  • blocking UoL exam
Interim Assessment

Interim Assessment

  • Interim assessment (2 module)
    this December exam grade will be applied to the final grade in 4th module
  • Interim assessment (4 module)
    0.3 * December exam + 0.15 * home assignments + 0.25 * mock + 0.3 * UoL exam
Bibliography

Bibliography

Recommended Core Bibliography

  • Linear algebra : concepts and methods, Anthony M., Harvey 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