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Linear algebra, 6 credits
Linjär algebra, 6 hp
TAIU13
Main field of study
MathematicsCourse level
First cycleCourse type
Programme courseExaminer
Malgorzata WesolowskaDirector of studies or equivalent
Jesper ThorénEducation components
Preliminary scheduled hours: 56 hRecommended self-study hours: 104 h
ECV = Elective / Compulsory / Voluntary
| Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
|---|---|---|---|---|---|---|---|
| 6ITFY | Applied Physics, Bachelor of Science in Engineering | 1 (Autumn 2022) | 2 | 3 | Swedish | Linköping, Valla | C |
The course syllabus is preliminary
Main field of study
MathematicsCourse level
First cycleAdvancement level
G1FCourse offered for
- Bachelor of Science in Applied Physics
Intended learning outcomes
After completing the course, the student should be able to
- formulate and explain basic concepts and theorems
- demonstrate basic skills in calculation, problem solving and using its key concepts, theorems and methods in applications
- perform standard calculations with good certainty.
Course content
Systems of linear equations. Matrices and inverses. Geometrical vectors. Scalar product. Vector product and orientation. Determinants. Lines and planes. Method of least squares. Change of basis. Linear mappings and their matrices. Eigenvalues and eigenvectors. The spectral theorem with applications. Systems of differential equations.
Teaching and working methods
Lectures and tutorials.
Examination
| TEN1 | Written Examination | 6 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Other information
About teaching and examination language
The teaching language is presented in the Overview tab for each course. The examination language relates to the teaching language as follows:
- If teaching language is “Swedish”, the course as a whole could be given in Swedish, or partly in English. Examination language is Swedish, but parts of the examination can be in English.
- If teaching language is “English”, the course as a whole is taught in English. Examination language is English.
- If teaching language is “Swedish/English”, the course as a whole will be taught in English if students without prior knowledge of the Swedish language participate. Examination language is Swedish or English depending on teaching language.
Other
The course is conducted in a manner where both men's and women's experience and knowledge are made visible and developed.
The planning and implementation of a course should correspond to the course syllabus. The course evaluation should therefore be conducted with the course syllabus as a starting point.
If special circumstances prevail, the vice-chancellor may in a special decision specify the preconditions for temporary deviations from this course syllabus, and delegate the right to take such decisions.
Department
Matematiska institutionenCourse literature
Books
- Andersson, Lennart, (1999) Linjär algebra med geometri. [Ny utg.] / 2. uppl. Lund : Studentlitteratur, 1999 ;
ISBN: 9144009720, 9789144009728
| Code | Name | Scope | Grading scale |
|---|---|---|---|
| TEN1 | Written Examination | 6 credits | U, 3, 4, 5 |
Course literature is preliminary.
Books
Andersson, Lennart, (1999) Linjär algebra med geometri. [Ny utg.] / 2. uppl. Lund : Studentlitteratur, 1999 ;
ISBN: 9144009720, 9789144009728
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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| 1.2 Fundamental engineering knowledge (G1X level) |
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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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| 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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