Course Catalog 2006-2007

MAT-31096 MATRIX ALGEBRA 1, 5 cr
Matrix Algebra 1

Courses persons responsible
Seppo Pohjolainen

Lecturers
Seppo Pohjolainen

Implementations
  Period 1 Period 2 Period 3 Period 4 Period 5 Summer
Exercise 2 h/week 2 h/week - - - -
Exam  
(Timetable for academic year 2006-2007)

Content
Content Core content Complementary knowledge Specialist knowledge
1. Basics of linear algebra       
2. LU- and QR-decompositions       
3. Linear algebra in n-dimensional spaces. Basis. Orthogonalisation, orthonormal basis. Change of basis. Projection matrices.       
4. Eigenvalues and eigenvectors. Spectral decomposition. Jordan's canonical form.       
5. Singular value decomposition. Linear systems of equations and sensitivity issues. Pseudoinverse.        

Requirements for completing the course
Examination

Evaluation criteria for the course

  • Examination

  • Used assessment scale is numeric (1-5)

    • Study material
    Type Name Auhor ISBN URL Edition, availability... Exam material Language
    Summary of lectures Matrix Algebra 1 Seppo Pohjolainen       No   
    Book Matrix Theory with Applications Goldberg     McGraw-Hill No   

    Prerequisites
    Prequisite relations (Sign up to TUT Intranet required)

    Additional information about prerequisites
    Honour's mathematics 1-5 or Engineering mathematics 1-5 or equivalent.

    Remarks

  • Partial passing of course must be in connection with the same round of implementation.

  • The course is suitable for postgraduate studies.

    • Distance learning

  • ITC utilized during the course

    • - In information distribution via homepage, newsgroups or mailing lists, e.g. current issues, timetables
    - In compiling teaching material, particularly for online use or other electronic media
    - In distributing and/or returning exercise work, material etc
    - In the visualization of objects and phenomena, e.g. animations, demonstrations, simulations, video clips
    - In interaction and discussion, such as online discussions, chat

  • Estimate as a percentage of the implementation of the course

    • - Contact teaching: 40 %
    - Distance learning: 10 %
    - Proportion of a student's independent study: 40 %

    Scaling
    Methods of instructionHours
    Lectures 84
    Exercises 44
    Total sum 128

    Correspondence of content
    MAT-31090 Matrix Algebra 1

    Course homepage

    Last modified 11.03.2006
    Modified bySeppo Pohjolainen