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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LME 3003 PROBABILITY COMPULSORY 2 0 0 3

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.

Learning Outcomes of the Course Unit

1   Can have information concerning the probability concepts, 2   May become ready to learn statistical concepts, 3   Can apply concepts to problems related to probability 4   Can categorize discrete and continuous distributions and apply problems 5   Can apply concepts and information acquired in real-life problems and evaluate the results 6   Can 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 2 The concept of permutation and applications 3 The concept of combination and applications 4 Binomial theorem 5 The concept of probability, the basic concepts about probability 6 Probability axioms and applications 7 Geometric probability problems 8 Course Overview, Evaluation,Midterm Exam 9 Conditional Probability and Bayes Theorem 10 The concept of random variable, probability function, probability density function 11 Expected value and variance of random variables 12 Moments, Moment Generating Function 13 Some discrete distributions (Bernoulli, Binomial, Geometric, Hypergeometric, Poisson) and their properties 14 Some continuous distributions (Normal, Exponential) and their properties 15 Final Exam

Recomended or Required Reading

Köklü, N.; Büyüköztürk, Ş.; Çokluk, Ö. (2023). Sosyal Bilimler Için Istatistik. Ankara: Pegem Akademi 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

Discussions, student reflections

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 Cahit Arf Building-Room Number 225 Tel: 0 232 3012397

Office Hours

Thursday 13.55-14.40

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 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 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 76

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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 LO.2 5 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 LO.3 5 4 5 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 LO.4 5 4 4 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 LO.5 5 4 4 1 4 1 1 1 1 1 1 1 3 1 3 4 1 1 LO.6 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 4 1 1