COURSE UNIT TITLE

: PROBABILITY I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IST 1013 PROBABILITY I COMPULSORY 2 0 0 4

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR ÖZLEM EGE ORUÇ

Offered to

Statistics
Statistics(Evening)

Course Objective

This course introduces students to the mathematical principles of statistics. Students will learn basic principles of counting process, axioms of probability, random variables and their distributions.

Learning Outcomes of the Course Unit

1   Understanding and applying the basic principles of set theory
2   Understanding and applying combinatorial methods
3   Describe the problems concerning sample spaces and events and basic principles of probability.
4   Understanding of conditional probability, independence and applying Bayes' theorem.
5   Use the concepts of random variables probability functions, properties.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Brief History of Probability
2 Basic Concepts of Set theory
3 Set Operations and Applications
4 Combinatorial Methods
5 Combinatorial Methods(continued)
6 Basic Concepts of Probability(Random experiment, Sample space, types of Sample Space)
7 Basic Concepts of Probability continue(Events, Event space,Probability Space)
8 Probability set function and Axioms of probability.
9 Theorems about probability concept
10 Conditional Probability and Independence
11 Total Probability Law and Bayes Theorem
12 Total Probability Law and Bayes Theorem(continued)
13 Random Variables, Probability Mass Function and CDF
14 Problem solving and general review

Recomended or Required Reading


Textbook(s):
1.S.Ross,A first Course in Probability, 8th edition,2010, Prentice Hall, ISBN 0-13-607909-5.
2. Jessica Hwang, Joseph K. Blitzstein, Introduction to Probability, Second Edition.
Yardımcı kaynaklar:
2. D.P. Bertsekas and J.N.Tsitsiklis, Introduction to Probability, Athena Scienrific, ISBN 1-886529-37-X.
3.M.R.Spiegel, J.Schiller, R.A.Srinivasan, Probability and Statistics(Schaum's Outlines) 2nd edition, McGrawHill ISBN 0-07-135004-7.

Planned Learning Activities and Teaching Methods

The course consists of lecture and exams.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Vize
2 FN Final
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

%40( midterm exam )+%60(Final Exam )

Language of Instruction

English

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course and is the responsibility of the student. It is necessary that attendance to the lecture and homework delivery must be on time. Any unethical behavior that occurs either in presentations or in exams will be dealt with as outlined in school policy. You can find the undergraduate policy at http://web.deu.edu.tr/fen

Contact Details for the Lecturer(s)

Prof.Dr.Özlem EGE ORUÇ
e-mail:ozlem.ege@deu.edu.tr
tel:+90 232 3018558

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Preparations before/after weekly lectures 14 2 28
Preparation for midterm exam 1 15 15
Preparation for final exam 1 25 25
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 100

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.15345
LO.25345
LO.35345
LO.45345
LO.55345

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

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