COURSE UNIT TITLE

: PROBABILITY AND STATISTICS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
OMT 2025 PROBABILITY AND STATISTICS COMPULSORY 4 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

INSTRUCTOR HANDAN BOYACIOĞLU EMIROĞLU

Offered to

Mathematics Teacher Education

Course Objective

Create mathematical foundations of probability and teach concepts of probability that make up the theoretical background of statistics. Learn about statistical concepts and informed about its application fields.

Learning Outcomes of the Course Unit

1   Iformation concerning the probability and statistics concepts
2   Ability to apply concepts to problems related to probability
3   Ability to categorize discrete and continuous distributions and to apply to problems
4   Ability to apply concepts and information acquired in real-life problems and to evaluate the results
5   Ability to apply statistical estimation techniques to solve problems (statistical hypothesis testing, confidence interval estimation)
6   Ability to explain the knowledge acquired and conclusions by correct use of language in a discipline.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Basic Probability Concepts-Counting Rules, Permutations, Circular Permutations, Repeated Permutations and Applications
2 Combination, Binomial Theorem, Repeated Combination and Applications, The Concept of Probability, Conditional Probability, Bayes Theorem and Applications
3 Random Variables, Expected Value and Variance of Discrete Random Variable, Expected Value and Variance of Continuous Random Variable
4 Two-dimentional Random Variables, Conditional Distributions, Expected Value and Variance, Covariance, Correlation Coefficient, Moments, Moment Generating Function
5 Some Discrete Distributions (Bernoulli, Binomial, Poisson, Geometric ), Some Continuous Distributions (Gamma, Exponential )
6 Normal Distribution, Standard Normal Distribution and Properties
7 Sample Selection, Data Editing and Applications, Descriptive Statistics
8 Midterm Exam
9 Sampling Theory and Applications, Statistical Estimation and Applications
10 Statistical Hypothesis Testing, Hypothesis Tests Related to Mass Average
11 Hypothesis Tests Related to Mass Variance
12 Significance Tests base on Chi-Square
13 Regression Analysis
14 Correlation Analysis
15 Final Exam

Recomended or Required Reading

Akdeniz, F.(2004). Olasılık ve Istatistik. Adana: Nobel Kitabevi.
Çakır, F. (2000). Sosyal Bilimlerde Istatistik. Istanbul: Alfa Basım Dağıtım Ltd.Şt.
Gürsakal, N. (2001). Bilgisayar Uygulamalı Matematik. Istanbul: Alfa Basım Dağıtım Ltd.Şt.

Planned Learning Activities and Teaching Methods

Lecture, question-answer, discussion, problem solving, group study

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 +FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST* 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

handan.boyaci@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 6 6
Preparation for final exam 1 8 8
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 96

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.15
LO.255
LO.35454
LO.45444
LO.5544334
LO.6334

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2012 DEÜ. BİD

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