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Бакалаврская программа «Международная программа по экономике и финансам»

04
Апрель

Further Linear Algebra

2021/2022
Учебный год
ENG
Обучение ведется на английском языке
4
Кредиты
Статус:
Курс обязательный
Когда читается:
3-й курс, 1, 2, 4 модуль

Преподаватель

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

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

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

Course Contents

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

Assessment Elements

  • non-blocking home assignments
  • non-blocking Mid-term test
  • non-blocking December exam
    Online fjrmat.
  • blocking UOL May exam
Interim Assessment

Interim Assessment

  • 2021/2022 2nd module
    0.55 * December exam + 0.25 * Mid-term test + 0.2 * home assignments
  • 2021/2022 4th module
    0.7 * 2021/2022 2nd module + 0.3 * UOL May exam
Bibliography

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