Course Catalog 2007-2008

MAT-31086 COMPLEX ANALYSIS, 5 cr
Complex Analysis

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 2007-2008)

Content
Content Core content Complementary knowledge Specialist knowledge
1. Complex numbers and elementary functions. Complex plane and its topology. Complex functions.       
2. Analytical Fuctions. Cauchy-Riemann and Laplace equations.       
3. Complex Integral. Principle of argument. Taylor's and Laurent's series. Residue.
 
     
4. Laplace-transform. Applications to engineering problems.       

Requirements for completing the course
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 Complex functions Seppo Pohjolainen       No   
    Book Complex Variables and Applications Brown&Churchill 0-07-114065-4     No   
    Book Complex Analysis for Mathematics and Engineering Mathews& Howell       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 corresponding courses on basic mathematics.

    Remarks

  • 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 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: 50 %
    - Distance learning: 10 %
    - Proportion of a student's independent study: 40 %

    Scaling
    Methods of instructionHours
    Lectures 63
    Exercises 66
    Total sum 129

    Course homepage

    Last modified 04.02.2007
    Modified bySeppo Pohjolainen