| TNA005 |
Applied Mathematics in Science and Technology, 6 ECTS credits.
/Tillämpad matematik i teknik och naturvetenskap/
For:
ED
KTS
MT
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OBS! |
The course include a part of the syllabus block "oral and written communication in english"
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Prel. scheduled
hours: 37
Rec. self-study hours: 123
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Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics
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Advancement level
(G1, G2, A): G1
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Aim:
The course is intended to bridge between basic mathematic courses and courses within science and technology. Students will aim to improve their ability in using mathematical results and computational software, as MATLAB, to study, analyse, and to some degree, solve realistic problems from applications. After the course, the student should be able to:
- write and use mathematical models for some problems in information technology and physics applications;
- reflect over the benefits and restrictions of a mathematical model;
- use MATLAB as a natural tool for solving computational problems, including: work with matrices and systems of linear equations, formulating and solving least squares problems, solving ordinary differential equations, 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 and constructive feedback on technical reports, both in written and in oral form.
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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.
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Supplementary courses:
All courses with a mathematical content.
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Organisation:
The teaching consists of lectures, computer exercises, student presentations with feedback, and guidance occasions. A number of mini projects constitute the core of the course. They shall be conducted using MATLAB, and be presented both in writing and orally. These projects are carried out in groups of two to three students, except the last one which is conducted individually. To the group projects, there are also written and oral oppositions.
The course runs over the entire spring semester.
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Course contents:
Introduction to Matlab and basic programming. Mathematical modelling. Numerical computations: linear algebra, transformations, systems of equations, least squares problems, matrix computations, matrix factorisations, quadrature and ordinary differential equations. Treatment of problems in computer graphics, information technology, and physics applications. Writing of technical reports in Swedish and English; opposition and oral presentations. Review of English grammar and sentence composition.
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Course literature:
- Jönsson, Per, �?�MATLAB-beräkningar inom teknik och naturvetenskap, tredje utgåvan�?�, Studentlitteratur, Lund, 2010.
- Forsling, Göran och Neymark, Mats, �?�Matematisk Analys en variabel�?�, Liber, Stockholm, 2004.
- Baravdish, George, �?�Linjär algebra TNA002�?� (ITN, LiU, present year).
- Supplementary documents available from the course homepage.
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Examination: |
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Computer laborations
Mini group project. Oral and written presentation and opposition
Mini group project. Oral and written presentation and opposition
Mini group project. Oral and written presentation and opposition
Written report (in English)
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1 ECTS
1 ECTS
1 ECTS
2 ECTS
1 ECTS
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Additional occasion for examination is only given in august.
Only the grades Pass/Fail are given on the course. |
Course language is Swedish.
Department offering the course: ITN.
Director of Studies: George Baravdish
Examiner: Berkant Savas
Link to the course homepage at the department
Course Syllabus in Swedish
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