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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
INTRODUCTION TO STOCHASTIC PROCESSES END539 - 3 + 0 10

TYPE OF COURSE UNITElective Course
LEVEL OF COURSE UNITMaster's Degree With Thesis
YEAR OF STUDY-
SEMESTER-
NUMBER OF ECTS CREDITS ALLOCATED10
NAME OF LECTURER(S)Professor Berna Dengiz
LEARNING OUTCOMES OF THE COURSE UNIT At the end of this course, the students;
1) Define stochastic processes
2) Develop a model for the stochastic processes
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
COURSE DEFINITION
COURSE CONTENTS
WEEKTOPICS
1st Week Probability Theory
2nd Week Probability Spaces
3rd Week Production functions and branch processes
4th Week Simple random walk
5th Week Bernoulli processes
6th Week Discrete-time Markov chains
7th Week Discrete-time Markov chains
8th Week MIDTERM
9th Week Poisson processes
10th Week Continuous-time Markov chains
11th Week Markovian decision process
12th Week Markovian decision process applications
13th Week Markovian decision process applications
14th Week Project presentation
RECOMENDED OR REQUIRED READINGBarry L. Nelson, Stochastic Modelling, Analysis and Simulation. Mc Graw Hill, USA,1995.
J. Wiley Lawler, G.F. (2000), Introduction to Stochastic Processes, Chapmann&Hall/CRC Probability.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSLecture,Questions/Answers,Presentation
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term135
Quiz18
Project17
Total(%)50
Contribution of In-term Studies to Overall Grade(%)50
Contribution of Final Examination to Overall Grade(%)50
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam122
Preparation for Quiz11414
Individual or group work1413182
Preparation for Final exam12525
Course hours14342
Preparation for Midterm exam12525
Laboratory (including preparation)
Final exam122
Homework11414
Total Workload306
Total Workload / 3010,2
ECTS Credits of the Course10
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
LO1LO2
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K2  X   X
K3  X   X
K4  X   X
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