Bachelor 2021/2022

Further Linear Algebra

Type: Compulsory course

Area of studies: Economics

Delivered by: International College of Economics and Finance

Where: International College of Economics and Finance

When: 3 year, 1, 2, 4 module

Mode of studies: distance learning

Online hours: 16

Open to: students of one campus

Instructors: Kirill Bukin

Language: English

ECTS credits: 4

Contact hours: 64

Course Syllabus

Abstract

This course is a continuation of Mathematical Methods for Economists 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,
• 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
• Direct sums and projections
• Generalized inverses
• Complex matrices and vector spaces

Assessment Elements

• home assignments
• Mid-term test
• December exam
  Online fjrmat.
• UOL May exam

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

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

Presentation

• Syllabus

Authors

• Bukin Kirill Aleksandrovich