COURSE UNIT TITLE

: PROBABILITY II

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IST 1014 PROBABILITY II COMPULSORY 2 0 0 4

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR 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   Use the concepts of random variables probability and distribution functions, properties and their relationships
2   Understand how basic concepts such as expected value, variance and standard deviation will be calculated and interpreted
3   Obtain moments and moment generating functions of random variables.
4   Use the basic discrete distributions (Bernoulli, Binomial, Geometric, Negative Binomial, Hypergeometric, and Poisson) with their properties.
5   Use the basic continuous distributions (Uniform, Normal, Standard normal, Exponential) with their properties.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Discrete Random Variables, Probability Mass Function and CDF
2 Continuous Random Variables, Probability Density Function and CDF
3 Probability Mass Function, Probability Density Function and CDF (continued)
4 Measures of Central Tendency(Expected Value, Median and Mode)
5 Measures of Variability(Variance, Standard Deviation ad Coefficient of Variation)
6 Moments and Moment Generating Functions
7 Special Discrete Distributions(Bernoulli,Binomial)
8 Special Discrete Distributions(Poisson, Hypergeometric)
9 Midterm
10 Special Discrete Distributions(Geometric,Negative Binomial)
11 Special Continuous Distributions (Normal)
12 Special Continuous Distributions (Normal)(continued)
13 Special Continuous Distributions (Normal)(continued)
14 Special Continuous Distributions (Uniform and exponential)

Recomended or Required Reading

Textbook(s):
1.S.Ross,A first Course in Probability, 8th edition,2010, Prentice Hall, ISBN 0-13-607909-5.
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 quiz.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 QUZ QUIZ
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 + QUZ * 0.20 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + QUZ * 0.20 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

%40(midterm)+%10(quiz)+%50(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)

Associate 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 20 20
Preparation for quiz etc. 1 4 4
Final 1 2 2
Midterm 1 2 2
Quiz etc. 1 1 1
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