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Discrete Mathematics, 8 credits
Diskret matematik, 8 hp
TATA32
Main field of study
Mathematics Applied MathematicsCourse level
First cycleCourse type
Programme courseExaminer
Armen AsratianDirector of studies or equivalent
Jesper ThorénEducation components
Preliminary scheduled hours: 76 hRecommended self-study hours: 137 h
ECV = Elective / Compulsory / Voluntary
| Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
|---|---|---|---|---|---|---|---|
| Single subject course (One-third-time, Day-time) | Autumn 2017 | - | Swedish | Linköping, Valla | |||
| 6CYYI | Applied Physics and Electrical Engineering - International, M Sc in Engineering | 9 (Autumn 2017) | 1, 2 | 3, 1 | Swedish | Linköping, Valla | E |
| 6CYYI | Applied Physics and Electrical Engineering - International, M Sc in Engineering | 9 (Autumn 2017) | 1, 2 | 3, 1 | Swedish | Linköping, Valla | E |
| 6CYYI | Applied Physics and Electrical Engineering - International, M Sc in Engineering | 9 (Autumn 2017) | 1, 2 | 3, 1 | Swedish | Linköping, Valla | E |
| 6CYYI | Applied Physics and Electrical Engineering - International, M Sc in Engineering | 9 (Autumn 2017) | 1, 2 | 3, 1 | Swedish | Linköping, Valla | E |
| 6CYYI | Applied Physics and Electrical Engineering - International, M Sc in Engineering | 9 (Autumn 2017) | 1, 2 | 3, 1 | Swedish | Linköping, Valla | E |
| 6CYYY | Applied Physics and Electrical Engineering, M Sc in Engineering | 9 (Autumn 2017) | 1, 2 | 3, 1 | Swedish | Linköping, Valla | E |
| 6KMAT | Mathematics, Bachelor's Programme | 1 (Autumn 2017) | 1, 2 | 3, 1 | Swedish | Linköping, Valla | C |
Main field of study
Mathematics, Applied MathematicsCourse level
First cycleAdvancement level
G1XCourse offered for
- Mathematics, Bachelor's Programme
- Applied Physics and Electrical Engineering, M Sc in Engineering
- Applied Physics and Electrical Engineering - International, 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
Admisson to the course requires , as well as general university requirements, secondary school mathematics (or equivalent).Intended learning outcomes
To give the basic knowledge of discrete mathematics that is needed for further courses in mathematics, natural science and computer science. After this course the student should be able to:
- understand and use the terminology and laws of set theory
- formulate and solve combinatorial problems on permutations and combinations
- use the principle of mathematical induction to prove theorems and formulas
- perform calculations in modular arithmetic with applications in RSA-cryptography
- use the Euclidean algorithm to solve Diophantine equations
- identify equivalence relations and partial orders
- determine the disjunctive and conjunctive normal forms for Boolean functions
- master the foundation of graph theory and use graphs as a tool to model real-life problems
Course content
Set operations, the laws of set theory and Venn diagrams. Mathematical
induction and recursion. Combinatorics with permutations and
combinations. Number theory with some applications in cryptography.
Relations and functions, especially partial orders, equivalence
relations and Boolean functions. Graphs: planarity, coloring, chromatic
polynom, Euler tours and some applications.
Teaching and working methods
Teaching is done through lectures and problem classes.
The course runs over the entire autumn semester.
Examination
| TEN1 | Written examination | 8 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Department
Matematiska institutionenDirector of Studies or equivalent
Jesper ThorénExaminer
Armen AsratianCourse website and other links
http://www.mai.liu.se/und/kurser/index-amne-tm.htmlEducation components
Preliminary scheduled hours: 76 hRecommended self-study hours: 137 h
Course literature
Additional literature
Books
- Asratian, Björn och Turesson, Diskret matematik
| Code | Name | Scope | Grading scale |
|---|---|---|---|
| TEN1 | Written examination | 8 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
Asratian, Björn och Turesson, Diskret matematik
Note: The course matrix might contain more information in Swedish.
I = Introduce, U = Teach, A = Utilize
| I | U | A | Modules | Comment | ||
|---|---|---|---|---|---|---|
| 1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
| 1.1 Knowledge of underlying mathematics and science (G1X level) |
X
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X
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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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| 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 |
|
X
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X
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TEN1
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| 2.2 Experimentation, investigation, and knowledge discovery |
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X
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| 2.3 System thinking |
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| 2.4 Attitudes, thought, and learning |
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X
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X
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TEN1
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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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X
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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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