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Linköping Institute of Technology

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Valid for year : 2008
 
TNA005 Applied Mathematics in Science and Technology, 6 ECTS credits.
/Tillämpad matematik i teknik och naturvetenskap/

For:   ED   KTS   MT  

 

Prel. scheduled hours: 48
Rec. self-study hours: 112

  Area of Education: Science

Subject area: Mathematics

  Advancement level (G1, G2, A): G1

Aim:
The course is bridge between the basic mathematic courses and courses within science and technology. By using the calculation tool MatLab, more realistic problems can be studied, and the students should also get used to benefit from the language their studies in mathematics provide when they deal applied problems. After the course, the student should be able to:
  • Write down a mathematical model for some physical processes
  • Reflect over the benefits and restrictions of a mathematical model
  • Use MATLAB as a natural tool for solving computational problems, including the treatment of matrices and linear systems of equations formulating and solving least-square problems putting systems of coupled ordinary differential equations on a diagonal form performing numerical integration
  • Choose a suitable method to study mathematical problems arising in different contexts of science and technology
  • Structure and present mathematical ideas in both written and oral form
  • Write a short technical report in both Swedish and English
  • Give relevant feedback on technical reports, both in written and in oral form


Prerequisites: (valid for students admitted to programmes within which the course is offered)
Foundation Course in Mathematics, Linear algebra, Programming. Calculus in one variable can be studied in parallel with this course, or is otherwise prerequisite.

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.

Supplementary courses:
All courses with a mathematical content. The MATLAB-part can be continued in the course TNG060.

Organisation:
The teaching consists of lectures, computer exercises, supervision and student presentations with feedback.
The core of the course is some mini projects. They shall be performed using MATLAB, and be presented both written and orally. These projects are carried out in groups of two to three students, except the last one which should be performed individually. To the group projects, there are also written and oral opposition.


Course contents:
Introduction to MATLAB and basic programming. Mathematical modelling. Numerical linear algebra; transformations, systems of equations (including over-determined) and diagonalization, with applications within computer graphics and mechanics. Numerical analysis; quadrature and ordinary differential equations, with applications within mechanics. Writing of technical reports in Swedish and English; opposition and oral presentations.

Course literature:
Jönsson, Per, ”MATLAB-beräkningar inom teknik och naturvetenskap, andra utgåvan”, Studentlitteratur, Lund 2006.
Forsling, Göran och Neymark, Mats, ”Matematisk Analys en variabel”, Liber, Stockholm, 2004.
Baravdish, George, ”Linjär algebra TNA002”, Norrköping 2006.
Other documents from the course homepage (free to download).


Examination:
Computer laborations
Group assignment
Individual assignment
1 ECTS
3 ECTS
2 ECTS
 



Course language is Svedish.
Department offering the course: ITN.
Director of Studies: Clas Rydergren
Examiner: Michael Hörnquist
Link to the course homepage at the department



Linköping Institute of Technology

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Contact: TFK , val@tfk.liu.se
Last updated: 08/08/2008