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Algebra MT1173

This unit develops a student’s proficiency in working with the mathematical methods of algebra and develops the student’s understanding of the theoretical concepts (such as vector space) behind these methods.

Exclusions

The course may not be taken with:

  • MT105b Mathematics 2

Topics Covered

  • Matrices, vectors and their geometry
  • Systems of linear equations
  • Matrix inversion and determinants
  • Sequences, series and difference equations
  • Vector spaces and related concepts
  • Diagonalisation of matrices
  • Applications of diagonalisation

Learning outcomes

If you complete the course successfully, you should be able to:

  • use the concepts, terminology, methods and conventions covered in the unit to solve mathematical problems in this subject
  • solve unseen mathematical problems involving understanding of these concepts and application of these methods
  • see how algebra can be used to solve problems in economics and related subjects
  • demonstrate knowledge and understanding of the underlying principles of algebra.

Assessment

Unseen written exam (3 hrs).

Essential reading

  • Anthony, M. and M. Harvey. Linear Algebra: Concepts and Methods. (Cambridge University Press)
  • Anthony, M. and N. Biggs. Mathematics for Economics and Finance: Methods and Modelling. (Cambridge: Cambridge University Press)

Further reading

  • Anton, H. Elementary Linear Algebra. (International Student Version). John Wiley & Sons (Asia) Plc Ltd.

Course information sheets

Download the course information sheets from the LSE website.