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Course Detail

Course Description

CourseCodeSemesterT+P (Hour)CreditECTS
PROBABILITY and RANDOM VARIABLES-Spring Semester3+036
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of CourseEnglish
Course LevelFirst Cycle (Bachelor's Degree)
Course TypeRequired
Course CoordinatorProf.Dr. Afgan ASLAN
Name of Lecturer(s)Prof.Dr. Afgan ASLAN
Assistant(s)
AimThis is a second year undergraduate course (third year for CoE) on introduction to probability and random variables. The course introduces fundamental differences between statistics and probability and then introduces basic topics of probability. Probability axioms, probability density functions, joint pdfs, and random variables with related topics are covered throughout the course.
Course ContentThis course contains; Class Info, Introduction to Statistics and Probability,Basic probability,Conditional probability,Discrete random variables,Discrete distributions and their statistics. ,Continuous Random Variables and their statistics,Continuous Random Variables (Cont.),Midterm overview,Continuous Distributions,Multiple Discrete Random Variables,Multiple Continuous Random Variables,Conditional Probability Mass Functions,Conditional Probability Density Functions,Conditional Probability Density Functions.
Dersin Öğrenme KazanımlarıTeaching MethodsAssessment Methods
Model simple probabilistic phenomena mathematically. 12, 16, 21, 9A, E
Calculate probabilities of events in a known event space, expected values, variances of random variables, and conditional probability. 12, 16, 21, 9A, E
Develops mathematical tools for discrete and continuous random variables12, 16, 21, 9A, E
Determines the common probability distributions and the understanding of where to use them.12, 16, 21, 9A, E
Work with multiple random variables, their joint distributions, their conditional distributions, and their one and two dimensional transformations.12, 16, 21, 9A, E
Teaching Methods:12: Problem Solving Method, 16: Question - Answer Technique, 21: Simulation Technique, 9: Lecture Method
Assessment Methods:A: Traditional Written Exam, E: Homework

Course Outline

OrderSubjectsPreliminary Work
1Class Info, Introduction to Statistics and ProbabilitySyllabus, Text 1-Chap. 1, Text 2-Chap. 1 &2
2Basic probabilityText 1-Chap. 2, Text 2-Chap 3
3Conditional probabilityText 1-Chap. 2, Text 2-Chap 4
4Discrete random variablesText 1-Chap. 3, Text 2-Chap 5
5Discrete distributions and their statistics. Text 1-Chap. 3, Text 2-Chap 6
6Continuous Random Variables and their statisticsText 1-Chap. 4, Text 2-Chap 10
7Continuous Random Variables (Cont.)Text 1-Chap. 4, Text 2-Chap 10
8Midterm overviewAll Lectures till Week 8
9Continuous DistributionsText 1-Chap. 4, Text 2-Chap 11
10Multiple Discrete Random VariablesText 1-Chap. 5, Text 2-Chap 7
11Multiple Continuous Random VariablesText 1-Chap. 5, Text 2-Chap 12
12Conditional Probability Mass FunctionsText 1-Chap. 5, Text 2-Chap 8
13Conditional Probability Density FunctionsText 1-Chap. 5, Text 2-Chap 13
14Conditional Probability Density FunctionsText 1-Chap. 5, Text 2-Chap 13
Resources
1. Applied Statistics and Probability for Engineers, Sixth Edition, Douglas C. Montgomery and George C. Runger, ISBN : 13 9781118539712 2. Intuitive Probability and Random Processes Using MatLab - Steven M. Kay, 2016, ISBN-13: 978-0-387-24157-9
1) A. Papoulis, Probability, Random Variables, and Stochastic Processes, Mc Graw Hill, 1984. 2) Alberto Leon-Garcia, Probability, Statistics, and Random Processes For Electrical Engineering, Prentice Hall, Third Edition, 2008. 3) A. Papoulis, Probability, Random Variables and Stochastic Processes, McGraw-Hill , Third Edition,1991

Course Contribution to Program Qualifications

Course Contribution to Program Qualifications
NoProgram QualificationContribution Level
12345
1
An ability to apply knowledge of mathematics, science, and engineering
X
2
An ability to identify, formulate, and solve engineering problems
X
3
An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
X
4
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
X
5
An ability to design and conduct experiments, as well as to analyze and interpret data
X
6
An ability to function on multidisciplinary teams
7
An ability to communicate effectively
X
8
A recognition of the need for, and an ability to engage in life-long learning
X
9
An understanding of professional and ethical responsibility
X
10
A knowledge of contemporary issues
11
The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context
X

Assessment Methods

Contribution LevelAbsolute Evaluation
Rate of Midterm Exam to Success 30
Rate of Final Exam to Success 70
Total 100
ECTS / Workload Table
ActivitiesNumber ofDuration(Hour)Total Workload(Hour)
Course Hours14342
Guided Problem Solving14114
Resolution of Homework Problems and Submission as a Report41560
Term Project000
Presentation of Project / Seminar000
Quiz000
Midterm Exam12424
General Exam13636
Performance Task, Maintenance Plan000
Total Workload(Hour)176
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(176/30)6
ECTS of the course: 30 hours of work is counted as 1 ECTS credit.

Detail Informations of the Course

Course Description

CourseCodeSemesterT+P (Hour)CreditECTS
PROBABILITY and RANDOM VARIABLES-Spring Semester3+036
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of CourseEnglish
Course LevelFirst Cycle (Bachelor's Degree)
Course TypeRequired
Course CoordinatorProf.Dr. Afgan ASLAN
Name of Lecturer(s)Prof.Dr. Afgan ASLAN
Assistant(s)
AimThis is a second year undergraduate course (third year for CoE) on introduction to probability and random variables. The course introduces fundamental differences between statistics and probability and then introduces basic topics of probability. Probability axioms, probability density functions, joint pdfs, and random variables with related topics are covered throughout the course.
Course ContentThis course contains; Class Info, Introduction to Statistics and Probability,Basic probability,Conditional probability,Discrete random variables,Discrete distributions and their statistics. ,Continuous Random Variables and their statistics,Continuous Random Variables (Cont.),Midterm overview,Continuous Distributions,Multiple Discrete Random Variables,Multiple Continuous Random Variables,Conditional Probability Mass Functions,Conditional Probability Density Functions,Conditional Probability Density Functions.
Dersin Öğrenme KazanımlarıTeaching MethodsAssessment Methods
Model simple probabilistic phenomena mathematically. 12, 16, 21, 9A, E
Calculate probabilities of events in a known event space, expected values, variances of random variables, and conditional probability. 12, 16, 21, 9A, E
Develops mathematical tools for discrete and continuous random variables12, 16, 21, 9A, E
Determines the common probability distributions and the understanding of where to use them.12, 16, 21, 9A, E
Work with multiple random variables, their joint distributions, their conditional distributions, and their one and two dimensional transformations.12, 16, 21, 9A, E
Teaching Methods:12: Problem Solving Method, 16: Question - Answer Technique, 21: Simulation Technique, 9: Lecture Method
Assessment Methods:A: Traditional Written Exam, E: Homework

Course Outline

OrderSubjectsPreliminary Work
1Class Info, Introduction to Statistics and ProbabilitySyllabus, Text 1-Chap. 1, Text 2-Chap. 1 &2
2Basic probabilityText 1-Chap. 2, Text 2-Chap 3
3Conditional probabilityText 1-Chap. 2, Text 2-Chap 4
4Discrete random variablesText 1-Chap. 3, Text 2-Chap 5
5Discrete distributions and their statistics. Text 1-Chap. 3, Text 2-Chap 6
6Continuous Random Variables and their statisticsText 1-Chap. 4, Text 2-Chap 10
7Continuous Random Variables (Cont.)Text 1-Chap. 4, Text 2-Chap 10
8Midterm overviewAll Lectures till Week 8
9Continuous DistributionsText 1-Chap. 4, Text 2-Chap 11
10Multiple Discrete Random VariablesText 1-Chap. 5, Text 2-Chap 7
11Multiple Continuous Random VariablesText 1-Chap. 5, Text 2-Chap 12
12Conditional Probability Mass FunctionsText 1-Chap. 5, Text 2-Chap 8
13Conditional Probability Density FunctionsText 1-Chap. 5, Text 2-Chap 13
14Conditional Probability Density FunctionsText 1-Chap. 5, Text 2-Chap 13
Resources
1. Applied Statistics and Probability for Engineers, Sixth Edition, Douglas C. Montgomery and George C. Runger, ISBN : 13 9781118539712 2. Intuitive Probability and Random Processes Using MatLab - Steven M. Kay, 2016, ISBN-13: 978-0-387-24157-9
1) A. Papoulis, Probability, Random Variables, and Stochastic Processes, Mc Graw Hill, 1984. 2) Alberto Leon-Garcia, Probability, Statistics, and Random Processes For Electrical Engineering, Prentice Hall, Third Edition, 2008. 3) A. Papoulis, Probability, Random Variables and Stochastic Processes, McGraw-Hill , Third Edition,1991

Course Contribution to Program Qualifications

Course Contribution to Program Qualifications
NoProgram QualificationContribution Level
12345
1
An ability to apply knowledge of mathematics, science, and engineering
X
2
An ability to identify, formulate, and solve engineering problems
X
3
An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
X
4
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
X
5
An ability to design and conduct experiments, as well as to analyze and interpret data
X
6
An ability to function on multidisciplinary teams
7
An ability to communicate effectively
X
8
A recognition of the need for, and an ability to engage in life-long learning
X
9
An understanding of professional and ethical responsibility
X
10
A knowledge of contemporary issues
11
The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context
X

Assessment Methods

Contribution LevelAbsolute Evaluation
Rate of Midterm Exam to Success 30
Rate of Final Exam to Success 70
Total 100

Numerical Data

Student Success

Ekleme Tarihi: 09/10/2023 - 10:37Son Güncelleme Tarihi: 09/10/2023 - 10:37