Course Catalog 2006-2007

MAT-45806 MATHEMATICS FOR POSITIONING, 3 cr
Mathematics for positioning

Courses persons responsible
Robert Piche

Lecturers
Simo Ali-Löytty
Niilo Sirola

Language of Instruction
Lectures are in Finnish, exercises are held in English.

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

Objectives
To familiarise the student with the essential mathematical methods needed in positioning and navigation engineering.

Content
Content Core content Complementary knowledge Specialist knowledge
1. Review of probability and the multivariable normal distribution  Conditional probability density    
2. Static positioning, measurement equations, least squares method  Sensitivity analysis, closed form positioning formulas    
3. Coordinate systems and coordinate transformations  Moving coordinate systems    

Requirements for completing the course
Exam.

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 Mathematics for Positioning SAli-Löytty et al.     download from course home page Yes  English 

    Prerequisites
    Prequisite relations (Sign up to TUT Intranet required)

    Additional information about prerequisites
    Students are expected to have studied elementary courses in engineering probability and statistics.

    Remarks

    Taught together with the course TKT-2546 Methods for Positioning, which students are advised to take in the same semester.

  • 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 distributing and/or returning exercise work, material etc
    - In the visualization of objects and phenomena, e.g. animations, demonstrations, simulations, video clips

  • Estimate as a percentage of the implementation of the course
  • - Contact teaching: 30 %
    - Distance learning: 0 %
    - Proportion of a student's independent study: 70 %

    Scaling
    Methods of instructionHours
    Exercises 48

    Study materials Hours
    Course handout 17

    Other scaledHours
    Preparation for exam 8
    Exam/midterm exam 3
    Total sum 76

    Correspondence of content
    MAT-45800 Mathematics for positioning

    Course homepage

    Last modified 07.05.2007
    Modified byRobert Piche