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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS IMÖ 3001 PROBABILITY COMPULSORY 3 0 0 4

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR BERNA CANTÜRK GÜNHAN

Offered to

ELEMENTARY 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   1. Gain knowledge of basic concepts related to probability. 2   2. Apply probabilistic concepts to problems. 3   3. Apply Conditional Probability and Bayes' Theorem. 4   4. Categorize discrete and continuous distributions and apply them to problems. 5   5. Can apply Binomial, Poisson and Hypergeometric distributions.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 1.Basic principle of counting 2 2. The concept of permutation and applications 3 3. The concept of combination and applications 4 4. Binomial theorem 5 5. The concept of probability, the basic concepts about probability 6 6. Probability axioms and applications 7 7. Geometric probability problems 8 8.Midterm Exam 9 9. Conditional Probability and Bayes Theorem 10 10. The concept of random variable, probability function, probability density function 11 11. Expected value and variance of random variables 12 12. Moments, Moment Generating Function 13 13. Some discrete distributions (Bernoulli, Binomial, Geometric, Hypergeometric, Poisson) and their properties 14 14. Some continuous distributions (Normal, Exponential) and their properties 15 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

Question and answer, discussion, lecture, brainstorming, problem solving.

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

The evaluation criteria of the course are midterm and final exams and make-up exams.

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend.

Contact Details for the Lecturer(s)

berna.gunhan@deu.edu.tr

Office Hours

It will be announced at the beginning of the term.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 3 39 Preparations before/after weekly lectures 13 3 39 Preparation for midterm exam 1 15 15 Preparation for final exam 1 15 15 Midterm 1 2 2 Final 1 2 2 TOTAL WORKLOAD (hours) 112

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