COURSE UNIT TITLE

: PROBABILITY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 3058 PROBABILITY ELECTIVE 4 0 0 7

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR ÖZLEM EGE ORUÇ

Offered to

Mathematics (Evening)
Mathematics

Course Objective

A student completing this class is expected to understand probability reasoning. In addition he/she would have a good understanding of working with probability and have basic notions of statistics.

Learning Outcomes of the Course Unit

1   Demonstrate an understanding of basic principles of probability, and sample spaces.
2   Demonstrate understanding of conditional probability, independence and Bayes rule.
3   Know the basic discrete distributions (Binomial, Geometric, Negative Binomial, Hypergeometric, and Poisson) and how to work with them.
4   Know the basic continuous distributions (Uniform, Normal, Gamma and Exponential) and know how to work with them.
5   Understand how to calculate fundamental concepts such as the cumulative distribution function, expectations, and distributions for functions of random variables.
6   Know how to work with joint distributions and how to calculate basic two-variable statistics (covariance, correlation).
7   Know the definition and be able to calculate the Moment

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Set theory and Combinatorial Methods
2 Definition of Probability, Some Properties of Probability
3 Conditional Probability and Independence
4 Random Variables, Discrete Random Variables, Probability Mass Function and CDF
5 Continuous Random Variables, Probability Density Function and CDF
6 Expected Value and its Properties, Moments and Moment Generating Functions
7 Special Discrete Distributions(Binomial, Poisson, Hypergeometric, Geometric, Negative Binomial)
8 Mid-term Exam
9 Special Continuous Distributions (Uniform , Normal, Gamma , Exponential)
10 Joint Distributions, Marginal Distributions
11 Conditional Distributions, Independent Random Variables
12 Covariance and Correlation
13 Functions of Random Variables, Distribution function Technique
14 Functions of Random Variables ,Transformation Methods, Order Statistics

Recomended or Required Reading

Textbook(s): S.Ross,A first Course in Probability, 8th edition,2010, Prentice Hall, ISBN 0-13-607909-5.
Supplementary Book(s):
1. Dimitri P. Bertsekas and John N. Tsitsiklis,2nd Edition.Introduction to Probability, ISBN: 978-1-886529-23-6
2.R. J. Larsen and M. L. Marx, An Introduction to Mathematical Statistics and Its Applications, 3rd Edition, Prentice Hall, ISBN 0-13-201813-6.
3.L. J. Bain and M. Engelhardt, Introduction to Probability and Mathematical Statistics, 2nd Edition, Duxbury, 1992, ISBN 0-534-38020-4

Planned Learning Activities and Teaching Methods

The course consists of lecture and class discussion

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 QUZ QUIZ
3 ASG ASSIGNMENT
4 FIN FINAL EXAM
5 FCGR FINAL COURSE GRADE (RESIT) MTE* 0.30 + QUZ * 0.20 + ASG * 0.10 + FIN * 0.40
6 RST RESIT
7 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + QUZ * 0.20 + ASG * 0.10 + RST * 0.40


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Homework ,Quiz, midterm and Final exam

Language of Instruction

English

Course Policies and Rules

Student responsibilities
Reading the related parts of the course material each week, attending the course and participating in class discussions are the requirements of the course. 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 www.fef.deu.edu.tr

Contact Details for the Lecturer(s)

Prof.Dr.Özlem Ege Oruç
DEU. Faculty Sciences Department of Statistics B113
e-mail: ozlem.ege@deu.edu.tr
Office: 0232 3018558

Office Hours

Wednesday 11.00-12.00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparation for midterm exam 1 15 15
Preparation for final exam 1 24 24
Preparations before/after weekly lectures 12 4 48
Preparation for quiz etc. 1 10 10
Preparing assignments 1 9 9
Final 1 2 2
Midterm 1 2 2
Quiz etc. 1 1 1
Project Assignment 1 1 1
TOTAL WORKLOAD (hours) 164

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.1545
LO.2545
LO.3545
LO.4545
LO.5545
LO.6545
LO.7545

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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