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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LMÖ 3003 PROBABILITY AND STATISTICS COMPULSORY 2 2 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR 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   Have information concerning the probability concepts. 2   Apply the concepts related to statistics. 3   Apply statistical estimation techniques to solve problems (statistical hypothesis testing, confidence interval estimation). 4   Apply concepts and information acquired in real-life problems and evaluate the results. 5   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 principle of counting, The concept of permutation and applications 2 The concept of combination and applications, Binomial theorem 3 The concept of probability, the basic concepts about probability, Probability axioms and applications 4 Conditional Probability and Bayes Theorem 5 The concept of random variable, probability function, probability density function, Expected value and variance of random variables 6 Moments, Moment Generating Function 7 Some discrete and continuous distributions (Bernoulli, Binomial, Poisson, Normal, Exponential) and their properties 8 General review, course evaluation, midterm exam 9 Sample and basic concepts, Regulation and analysis of data 10 Descriptive Statistics 11 Sampling distribution and estimation, The concept of confidence interval 12 Hypothesis tests 13 Significance tests base on Chi-Square 14 Regression and 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, brain storming

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Midterm 2 FN Semester final exam 3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60 4 BUT Make-up note 5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

Assessment of students is measured by midterm and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

handan.boyaci@deu.edu.tr

Office Hours

It will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 2 26 Practice (Reflection) 13 2 26 Preparations before/after weekly lectures 13 2 26 Preparation for midterm exam 1 7 7 Preparation for final exam 1 13 13 Midterm 1 2 2 Final 1 2 2 TOTAL WORKLOAD (hours) 102

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 PO.15 PO.16 PO.17 PO.18 LO.1 5 LO.2 5 3 3 LO.3 4 4 4 3 LO.4 4 4 4 4 4 4 LO.5 4 3