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Vector Analysis, 6 credits
Vektoranalys, 6 hp
TNA007
Main field of study
Mathematics Applied MathematicsCourse level
First cycleCourse type
Programme courseExaminer
Olof SvenssonDirector of studies or equivalent
George BaravdishEducation components
Preliminary scheduled hours: 48 hRecommended self-study hours: 112 h
ECV = Elective / Compulsory / Voluntary
| Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
|---|---|---|---|---|---|---|---|
| 6CIEN | Electronics Design Engineering, M Sc in Engineering | 3 (Autumn 2017) | 2 | 4 | Swedish | Norrköping, Norrköping | C |
| 6CMEN | Media Technology and Engineering, M Sc in Engineering | 3 (Autumn 2017) | 2 | 4 | Swedish | Norrköping, Norrköping | C |
Main field of study
Mathematics, Applied MathematicsCourse level
First cycleAdvancement level
G2XCourse offered for
- Electronics Design Engineering, M Sc in Engineering
- Media Technology and Engineering, M Sc in Engineering
Entry requirements
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.
Prerequisites
Calculus and Linear algebraIntended learning outcomes
This course is a continuation of the course in multi variable calculus. Consequently, the aims are similar: to give students an understanding of mathematical concepts and familiarity with mathematical methods of analysis. Here, these aims relate to the treatment of functions of several variables and vector fields which arise in all branches of physics and engineering. Students will be expected to be able to do the following after completing this course:
- find potentials and vector potentials for a vector field
- find flow lines of a vector field
- calculate path and surface integrals
- use Gauss' and Stokes' theorems for calculations of flux and path integrals
- use spherical and cylindrical coordinates in calculations
Course content
Scalar and vector fields. The gradient, divergence and curl. Line, surface
and flux integrals. The Divergence theorem and Stokes's theorem.
Curvilinear coordinates. Partial differential equations.
Teaching and working methods
The course is given in the form of lectures, tutorials, tests and a
final examination.
Examination
| KTR3 | Optional Written Test | 0 credits | D |
| KTR2 | Optional Written Test | 0 credits | D |
| TEN1 | Written examination | 6 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Other information
Supplementary courses: Electromagnetic Field Theory and Electromagnetism, Acoustics.
Department
Institutionen för teknik och naturvetenskapDirector of Studies or equivalent
George BaravdishExaminer
Olof SvenssonCourse website and other links
http://www2.itn.liu.se/utbildning/kurs/Education components
Preliminary scheduled hours: 48 hRecommended self-study hours: 112 h
Course literature
Additional literature
Books
- Anders Ramgard, Vektoranalys
THS AB.
| Code | Name | Scope | Grading scale |
|---|---|---|---|
| KTR3 | Optional Written Test | 0 credits | D |
| KTR2 | Optional Written Test | 0 credits | D |
| TEN1 | Written examination | 6 credits | U, 3, 4, 5 |
Regulations (apply to LiU in its entirety)
The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.
LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.
Additional literature
Books
Anders Ramgard, Vektoranalys
THS AB.
Note: The course matrix might contain more information in Swedish.
I = Introduce, U = Teach, A = Utilize
| I | U | A | Modules | Comment | ||
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| 1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
| 1.1 Knowledge of underlying mathematics and science (G1X level) |
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X
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TEN1
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| 1.2 Fundamental engineering knowledge (G1X level) |
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X
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| 1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
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X
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TEN1
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| 1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level) |
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| 1.5 Insight into current research and development work |
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| 2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
| 2.1 Analytical reasoning and problem solving |
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| 2.2 Experimentation, investigation, and knowledge discovery |
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| 2.3 System thinking |
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| 2.4 Attitudes, thought, and learning |
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| 2.5 Ethics, equity, and other responsibilities |
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| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
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| 3.2 Communications |
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| 3.3 Communication in foreign languages |
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| 4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
| 4.1 External, societal, and environmental context |
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| 4.2 Enterprise and business context |
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| 4.3 Conceiving, system engineering and management |
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| 4.4 Designing |
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| 4.5 Implementing |
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| 4.6 Operating |
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| 5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS | ||||||
| 5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development |
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| 5.2 Economic conditions for knowledge development |
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| 5.3 Identification of needs, structuring and planning of research or development projects |
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| 5.4 Execution of research or development projects |
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| 5.5 Presentation and evaluation of research or development projects |
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