Course Catalog 2007-2008

MAT-53756 INTRODUCTION TO GEOMETRIC ALGEBRAS AND THEIR APPLICATIONS, 7 cr
Introduction to Geometric Algebras and their Applications

Courses persons responsible
Sirkka-Liisa Eriksson

Lecturers
Sirkka-Liisa Eriksson

Objectives
Introduction to geometric algebras, analysis and their applications.

Content
Content Core content Complementary knowledge Specialist knowledge
1. Introduction to geometric or Clifford algebras and their basic elements scalars, vectors, bivectors and multivectors       
2. Exterior product, contraction and geometric product and their calculation rules.       
3. Calculation of vector derivatives and integrals using geometric algebras       
4. Cauchy theorem in higher dimensions. Dirac and Maxwell equations       

Requirements for completing the course
Written examination

Evaluation criteria for the course

  • Used assessment scale is numeric (1-5)

    • Study material
    Type Name Auhor ISBN URL Edition, availability... Exam material Language
    Summary of lectures An Introduction to geometric algebras Janne Pesonen       No  English 

    Prerequisites
    Prequisite relations (Sign up to TUT Intranet required)

    Remarks

  • The course is suitable for postgraduate studies.

    • Scaling
    Methods of instructionHours
    Lectures 84
    Exercises 90

    Other scaledHours
    Exam/midterm exam 6
    Total sum 180

    Correspondence of content
    MAT-53750 Introduction to Geometric Algebras and their Applications

    Last modified 09.02.2007
    Modified bySirkka-Liisa Eriksson