PAMUKKALE UNIVERSITY
COMPUTER ENGINEERING DEPARTMENT
COURSE INFORMATION
Course Code
Course Name
Course Name in Turkish
Department
CENG 208
Probability and Statistics
Olasılık ve İstatistik
Course Duration/Week ( T P C ) – (ECTS)
Course Type
Semester
Prerequisite(s)
Language
Computer Engineering Department
( 3 0 3 ) – (6)
Compulsory
Spring (4)
-
Instructor
English
Asst. Prof. Kadir Kavaklioglu
1. COURSE OBJECTIVES
Purpose of this course is to teach fundamental concepts of probability and statistics and modeling stochastic processes.
2. TOPICS COVERED
Fundamentals of probability, definition of sample space, axiomatic and relative frequency definitions of probability, joint and conditional probability, independence of events, Bayes Theorem, counting, random variables: probability mass functions, probability density functions, expected value and variance, transforms, their applications to sums of independent random variables, some basic probabilistic processes: Bernoulli, Poisson, renewal processes and random incidence, discrete-state Markov processes, ergodicity and calculation of the limiting state probabilities, law of large numbers, Gaussian PDF, introduction to statistics.
3. TENTATIVE SCHEDULE
8
9
6
7
10
11
WEEK SUBJECT
1 Introduction to event algebra
2 Sample spaces for events
3
4
5
Probability measure and conditional probability
Probability trees for sequential events
Independence and Bayes Theorem
Counting, factorial, permutation and combination
Discrete random variables and Probability Mass Function (PMF)
Joint and conditional PMF
Continuous random variables and Probability Density Function (PDF)
Joint and conditional PDF
Bernoulli and Poisson processes
Discrete State Discrete Time Markov Processes 12
13
14
Discrete State Continuous Time Markov Processes
Chebyshev Inequality, Law of Large Numbers, Central Limit Theorem
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PAMUKKALE UNIVERSITY
COMPUTER ENGINEERING DEPARTMENT
COURSE INFORMATION
4. LEARNING OUTCOMES AND RELATIONSHIP TO PROGRAM OUTCOMES
NO LEARNING OUTCOMES
PROGRAM OUTCOMES
Empty: None, 1-5: Power of Relationship
1 2 3 4 5 6 7 8 9 10 11 12
1 Lists basic probability concepts
2 Defines conditional probability
3 Explains discrete random variables
4 Explains continuous random variables
5 Explains probability density
6 Lists basic statistics concepts
3 5 2 2 3
3 5 2 2 3
3 5 2 2 3
3 5 2 2 3
3 5 2 2 3
3 5 2 2 3
2
2
2
2
2
2
5. TEXT AND REQUIRED SUPPLIES
Dimitri P. Bertsekas and John N. Tsitsiklis, “Introduction to Probability”
TEXTBOOK
Athena Scientific
OTHER SUPPLIES
COMPUTER USE
Other supplies will be announced by the instructor.
Computer use is not required.
6. GRADING
Midterm Exams
Quizzes
Homework
Project
Laboratory
Presentation/Seminar
Attendance
Other
Final Exam
TOTAL
COUNT
1
1
WEIGHT
40
60
100
7. COURSE CATEGORY
Course Category (%)
Mathematics and Basic Sciences
Engineering Sciences
Engineering Design
Social Sciences
80
10
10
0
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PAMUKKALE UNIVERSITY
COMPUTER ENGINEERING DEPARTMENT
COURSE INFORMATION
8. ECTS / WORK LOAD
Activities
Class Time
Self Study
Homework
Project
Laboratory
Presentation/Seminar
Other
Midterm Exams
Final Exam
1
1
Count Duration (Hour) Work Load
15 3 45
15 6 90
15
30
Total Work Load
15
30
180
(Total Work Load)/30
ECTS Credit
6
6
PREPARED BY Yrd. Doç Dr. Kadir Kavaklıoğlu
LAST UPDATED ON 10/05/2011
REVISION NO 01
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