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Statistics

Some basic information about the module

Cycle of education: 2019/2020

The name of the faculty organization unit: The faculty Mathematics and Applied Physics

The name of the field of study: Mathematics

The area of study: sciences

The profile of studing:

The level of study: first degree study

Type of study: full time

discipline specialities : Applications of Mathematics in Economics

The degree after graduating from university: bachelor's degree

The name of the module department : Departament of Mathematical Modelling

The code of the module: 1069

The module status: mandatory for teaching programme Applications of Mathematics in Economics

The position in the studies teaching programme: sem: 5 / W30 C15 L15 / 3 ECTS / Z

The language of the lecture: Polish

The name of the coordinator: Mariusz Startek, PhD

office hours of the coordinator: Podane na stronie domowej.

The aim of studying and bibliography

The main aim of study: Explore the basic messages and methods of mathematical statistics

The general information about the module: Descriptive statistics, estimation, verification of hipothesis, indepondence of characteristics of population, regresion.

Bibliography required to complete the module
Bibliography used during lectures
1 M. Fisz Rachunek prawdopodobieństwa i statystyka matematyczna PWN, Warszawa. 1969
2 M. Sobczyk Statystyka PWN, Warszawa. 2005
3 M. Startek Podstawy rachunku prawdopodobieństwa z elementami statystyki matematycznej Oficyna Wydawnicza Politechniki Rzeszowskiej. 2005
Bibliography used during classes/laboratories/others
1 W. Krysicki, J. Bartos, W. Dyczka, K. Królikowska, M. Wasilewski Rachunek prawdopodobieństwa i statystyka matematyczna w zadaniach WNT, Warszawa. 2003
2 A. i E. Plucińscy Zadania z rachunku prawdopodobieństwa i statystyki matematycznej dla studentów politechnik PWN, Warszawa. 1982
3 M. Startek Podstawy rachunku prawdopodobieństwa z elementami statystyki matematycznej Oficyna Wydawnicza Politechniki Rzeszowskiej. 2005
Bibliography to self-study
1 A. i E. Plucińscy Probabilistyka WNT, Warszawa. 2003

Basic requirements in category knowledge/skills/social competences

Formal requirements: The student satisfies the formal requirements set out in the study regulations

Basic requirements in category knowledge: Knowing the probability theory and analysis.

Basic requirements in category skills: Ability to use basic mathematical apparatus for the probability and analysis

Basic requirements in category social competences: The student is prepared to take substantially justified mathematical operations in order to solve the posed exercise

Module outcomes

MEK The student who completed the module Types of classes / teaching methods leading to achieving a given outcome of teaching Methods of verifying every mentioned outcome of teaching Relationships with KEK Relationships with PRK
01 using the statistical characteristics of population and sample space lecture, classes written exercisses K_W03+
K_U33+
K_U34++
P6S_UW
P6S_WG
P6S_WK
02 use the distributions using in the statistics lecture, classes written exercisses K_W05+
K_K01+
P6S_KK
P6S_WG
03 using the simple statistical inference lecture, classes written exercisses K_W02+
K_W04+
K_U35+
P6S_UK
P6S_UO
P6S_UW
P6S_WG
P6S_WK
04 using the simple statistical inference with computer lecture, laboratory observation of doing K_W01+
P6S_WK

Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).

The syllabus of the module

Sem. TK The content realized in MEK
5 TK01 The basic terms of statistics. Descriptive statistics. Empirical distribution and theoretical distribution. Probability distribution applied in statistics. Estimation. Various types of estimators. The verification of statistical hypothesis. Various types of statistical criteria. Examples of parametric and nonparametric statistical criteria. Investigation of interdependence of characteristics of population and its variability in the time. Statistical experiments. wykład, ćwiczenia, laboratoria MEK01 MEK02 MEK03 MEK04

The student's effort

The type of classes The work before classes The participation in classes The work after classes
Lecture (sem. 5) contact hours: 30.00 hours/sem.
complementing/reading through notes: 5.00 hours/sem.
Class (sem. 5) contact hours: 15.00 hours/sem.
Finishing/Studying tasks: 5.00 hours/sem.
Laboratory (sem. 5) contact hours: 15.00 hours/sem.
Advice (sem. 5) The participation in Advice: 1.00 hours/sem.
Credit (sem. 5) The preparation for a Credit: 10.00 hours/sem.
The written credit: 2.00 hours/sem.

The way of giving the component module grades and the final grade

The type of classes The way of giving the final grade
Lecture Credit on the base of active participation in classes
Class Written test. The obvious exercises and the extra exercises. The obvious exercises must be solved. Only the obvious exercises - 3.0.
Laboratory Credit on the base of completed the laboratory exercises
The final grade After the credit of all types of classes the final grade is 3.0. Moreover solving the extra exercises or aktivity on classes gives higher grade.

Sample problems

Required during the exam/when receiving the credit
z-k-1.pdf

Realized during classes/laboratories/projects
(-)

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : yes

Available materials : Simple statistical tables.

The contents of the module are associated with the research profile: no