Probability and Statistics, first course, 6 credits (TAMS11)
Sannolikhetslära och statistik, grundkurs, 6 hp
Main field of study
Mathematics Applied MathematicsLevel
First cycleCourse type
Programme courseExaminer
Xiangfeng YangDirector of studies or equivalent
Ingegerd SkoglundAvailable for exchange students
YesCourse offered for | Semester | Period | Timetable module | Language | Campus | VOF | |
---|---|---|---|---|---|---|---|
6CDPU | Design and Product Development | 4 (Spring 2017) | 1 | 1 | Swedish/English | Linköping | o |
6CMMM | Mechanical Engineering, M Sc in Engineering | 4 (Spring 2017) | 1 | 1 | Swedish/English | Linköping | o |
6IDAT | Computer Engineering, B Sc in Engineering (Software Engineering) | 4 (Spring 2017) | 1 | 1 | Swedish/English | Linköping | v |
6IDAT | Computer Engineering, B Sc in Engineering (Embedded Systems) | 4 (Spring 2017) | 1 | 1 | Swedish/English | Linköping | v |
6KFYN | Physics and Nanotechnology | 4 (Spring 2017) | 1 | 1 | Swedish/English | Linköping | o |
6CEMM | Energy-Environment-Management | 6 (Spring 2017) | 1 | 1 | Swedish/English | Linköping | o |
6MPRO | Protein Science, Master's programme (Internal) | 2 (Spring 2017) | 1 | 1 | Swedish/English | Linköping | v |
Main field of study
Mathematics, Applied MathematicsCourse level
First cycleAdvancement level
G2XCourse offered for
- Computer Science, Master's Programme
- Design and Product Development
- Mechanical Engineering, M Sc in Engineering
- Computer Engineering, B Sc in Engineering
- Engineering Electronics
- Chemical Analysis Engineering, B Sc in Engineering
- Physics and Nanotechnology
- Energy-Environment-Management
- Mechanical Engineering, Master's programme
- Protein Science, Master's programme
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
Analysis, algebra, differential and integral calculus, power series and differential equations.Intended learning outcomes
The aim of the course is to give an introduction to probability and statistics, i.e. to introduce theoretical probability models and to give methods for statistical inference based on observed data. By the end of the course the student should be able to:
- describe and use models for phenomena influenced by random factors and calculate probabilities;
- use random variables and their properties to describe and explain random variation;
- use an appropriate probability model to describe and analyse observed data and draw conclusions concerning interesting parameters;
- find point estimators of parameters and analyse their properties;
- understand the principles of statistical inference based on confidence intervals and hypothesis testing;
- derive confidence intervals and test hypotheses using observed data, draw conclusions and describe the uncertainty.
Course content
Probability theory: Sample space, events and probabilities. Combinatorics. Conditional probabilities and independent events. Discrete and continuous random variables, their probability distributions, expectations and variances. Normal, exponential, binomial, Poisson distributions etc. The Central Limit Theorem. Statistics: Point estimation. Properties of estimators. The method of maximum likelihood, the method of moments and the least squares estimation. Confidence intervals. Testing statistical hypotheses. Simple linear regression.
Teaching and working methods
Teaching consists of lectures, lessons and obligatory computer exercises.
Examination
UPGA | Exercise | U, G | 1 credits |
TENB | Written Examination | U, 3, 4, 5 | 5 credits |
Grades
Alternative-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/GU/TAMS11Education components
Preliminary scheduled hours: 56 hRecommended self-study hours: 104 h
Course literature
Jay L. Devore: Probability and Statistics for Engineering and the SciencesUPGA | Exercise | U, G | 1 credits |
TENB | Written Examination | U, 3, 4, 5 | 5 credits |
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.
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