Probability and Statistics, First Course, 6 credits

Sannolikhetslära och statistik, grundkurs, 6 hp

TAMS42

Course starting semester

Main field of study

Mathematics Applied Mathematics

Course level

First cycle

Course type

Programme course

Examiner

Xiangfeng Yang

Director of studies or equivalent

Nils-Hassan Quttineh

Education components

Preliminary scheduled hours: 50 h
Recommended self-study hours: 110 h

Possible deviation from course syllabus/programme syllabus

ECV = Elective / Compulsory / Voluntary

Course offered for		Semester	Period	Timetable module	Language	Campus	ECV
6CDDD	Computer Science and Engineering, M Sc in Engineering	4 (Spring 2019)	2	2	Swedish/English	Linköping, Valla	C

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G2X

Course offered for

Computer Science 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

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. Linear and logistic regression.

Teaching and working methods

Teaching consists of lectures, lessons and obligatory computer exercises.

Examination

UPG1	Computer exercises	2 credits	U, G
TEN1	Written examination	4 credits	U, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Matematiska institutionen

Director of Studies or equivalent

Nils-Hassan Quttineh

Examiner

Xiangfeng Yang

Course website and other links

http://courses.mai.liu.se/GU/

Education components

Preliminary scheduled hours: 50 h
Recommended self-study hours: 110 h

Course literature

Books

Jay L. Devore, (2011) Probability and Statistics for Engineering and the Sciences 8 Brooks/Cole
ISBN: 9780840068279

Other

Formel- och tabellsamling i Matematisk statistik

Code	Name	Scope	Grading scale
UPG1	Computer exercises	2 credits	U, G
TEN1	Written examination	4 credits	U, 3, 4, 5

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Books

Jay L. Devore, (2011) Probability and Statistics for Engineering and the Sciences 8 Brooks/Cole

ISBN: 9780840068279

Other

Formel- och tabellsamling i Matematisk statistik

Download

Download course literature list as PDF

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize

		I	U	A	Modules
1. DISCIPLINARY KNOWLEDGE AND REASONING
	1.1 Knowledge of underlying mathematics and science (G1X level)	X	X	X	TEN1 UPG1
	1.2 Fundamental engineering knowledge (G1X level)
	1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
	1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)
	1.5 Insight into current research and development work
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
	2.1 Analytical reasoning and problem solving	X	X	X	TEN1
	2.2 Experimentation, investigation, and knowledge discovery	X	X		TEN1
	2.3 System thinking
	2.4 Attitudes, thought, and learning		X		TEN1
	2.5 Ethics, equity, and other responsibilities		X		TEN1
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
	3.1 Teamwork			X	UPG1
	3.2 Communications			X
	3.3 Communication in foreign languages
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
	4.1 External, societal, and environmental context
	4.2 Enterprise and business context
	4.3 Conceiving, system engineering and management
	4.4 Designing
	4.5 Implementing
	4.6 Operating
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
	5.2 Economic conditions for knowledge development
	5.3 Identification of needs, structuring and planning of research or development projects	X	X
	5.4 Execution of research or development projects
	5.5 Presentation and evaluation of research or development projects

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