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Mathematical Statistics, 6 credits
Matematisk statistik, 6 hp
TAIU06
Main field of study
Mathematics Applied MathematicsCourse level
First cycleCourse type
Programme courseExaminer
Xiangfeng YangDirector of studies or equivalent
Ingegerd SkoglundEducation components
Preliminary scheduled hours: 42 hRecommended self-study hours: 118 h
ECV = Elective / Compulsory / Voluntary
| Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
|---|---|---|---|---|---|---|---|
| 6IKEA | Chemical Analysis Engineering, B Sc in Engineering | 4 (Spring 2017) | 2 | 4 | Swedish | Linköping, Valla | E |
| 6IDAT | Computer Engineering, B Sc in Engineering (Embedded Systems) | 4 (Spring 2017) | 2 | 4 | Swedish | Linköping, Valla | E |
| 6IDAT | Computer Engineering, B Sc in Engineering (Software Engineering) | 4 (Spring 2017) | 2 | 4 | Swedish | Linköping, Valla | E |
| 6IMAS | Mechanical Engineering, B Sc in Engineering | 4 (Spring 2017) | 2 | 4 | Swedish | Linköping, Valla | C |
Main field of study
Mathematics, Applied MathematicsCourse level
First cycleAdvancement level
G1XCourse offered for
- Computer Engineering, B Sc in Engineering
- Chemical Analysis Engineering, B Sc in Engineering
- Mechanical Engineering, B 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, Linear Algebra.Intended learning outcomes
This course intends to provide an introduction to mathematical modelling of random experiments and statistical theory/methodology. The course also illustrates applications, in particular within the fields of engineering and science. After completing the course the student should be able to:
- Identify simple experimental situations where random components can influence the result.
- Give an account of fundamental probabilistic concepts, such as random variable and distribution function.
- Construct relevant probabilistic models for simple random experiments.
- Compute important quantities in probabilistic models, such as probabilities and expected values.
- Give an account of fundamental concepts and methods within statistical theory, such as point estimator and confidence interval.
- Choose appropriate methods of analysis and apply these to simple probabilistic models that are constructed from observed data.
- Present conclusions drawn from performed calculations and judge the reasonableness of the conclusions.
- Use statistical software package.
Course content
Sample space, events and probabilities. Combinatorics. Conditional probability and independent events. Random variables and their probability distributions: exponential, normal, binomial och Poisson distributions. Expected value and standard deviation. Central limit theorem. Descriptive statistics. Point estimation of Expected value and standard deviation. Confidence interval and tests of hypotheses. Chi-square test. Simple linear regression. Engineering applications. Simulation.
Teaching and working methods
Lectures, problem classes and computer exercises.
Examination
| LAB1 | Computer Exercise | 1 credits | U, G |
| TENA | Written Examination | 5 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Department
Matematiska institutionenDirector of Studies or equivalent
Ingegerd SkoglundExaminer
Xiangfeng YangCourse website and other links
http://courses.mai.liu.se/Lists/html/TAIU06-ing.htmlEducation components
Preliminary scheduled hours: 42 hRecommended self-study hours: 118 h
Course literature
Jonsson, Dag/Norell Lennart: Ett stycke statistik. (Studentlitteratur). Formelsamling i matematisk statistik utgiven av institutionen.| Code | Name | Scope | Grading scale |
|---|---|---|---|
| LAB1 | Computer Exercise | 1 credits | U, G |
| TENA | Written Examination | 5 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.
Course literature is preliminary.
Jonsson, Dag/Norell Lennart: Ett stycke statistik. (Studentlitteratur). Formelsamling i matematisk statistik utgiven av institutionen.
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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| 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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X
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| 2.2 Experimentation, investigation, and knowledge discovery |
X
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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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| 2.5 Ethics, equity, and other responsibilities |
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| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
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X
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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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