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EHM2007 | Probability and Statistics in Engineering | 3+0+0 | ECTS:3 | Year / Semester | Fall Semester | Level of Course | First Cycle | Status | Compulsory | Department | DEPARTMENT of ELECTRONICS and COMMUNICATION ENGINEERING | Prerequisites and co-requisites | None | Mode of Delivery | Face to face | Contact Hours | 14 weeks - 3 hours of lectures per week | Lecturer | Doç. Dr. Zeynep HASIRCI TUĞCU | Co-Lecturer | | Language of instruction | Turkish | Professional practise ( internship ) | None | | The aim of the course: | The objective of this course is to provide electronics and communications engineering students the basic probability concepts and theory. |
Learning Outcomes | CTPO | TOA | Upon successful completion of the course, the students will be able to : | | | LO - 1 : |
Learn basic probabilistics principals. | 1,2,4,5 | 1, | LO - 2 : | Gain probablity distribution and models | 1,2,4,5 | 1 | LO - 3 : | Learn to solve based probabity theory some problems in Electronics and Communications Engineering | 1,2,4,5 | 1 | LO - 4 : | Gain probablity applications on Electronics and Communications Engineering | 1,2,4,5 | 1, | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | |
Axiomatic approaches of Probability, Axioms of Probability, Set Theory, Conditional Probabilities and Statistical Independence, Single Random Variables and Probability Distributions, Averages and Standard deviation, Variance, Common random Variables: Binomial, Gauss, Uniform, Rayleigh, Rician, Exponential, Gamma distributions and their models, Characteristics Function, Transforms techniques on Probability functions, Probability Distributions for more than one random Variables, Introduction to random Process, Correlation functions and their applications |
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Course Syllabus | Week | Subject | Related Notes / Files | Week 1 | Fundemantals of probability, axioms of probbaility | | Week 2 | Set concepts and set theory | | Week 3 | Conditional probability and total probability, examples | | Week 4 | Statistical indepence and Bayes' theory | | Week 5 | Random variables, Probablity density function | | Week 6 | Probablity distribution function | | Week 7 | Probablistic models, binomial distribution | | Week 8 | Gaussian, exponential and rayleigh distribution | | Week 9 | Midterm exam | | Week 10 | Poission distribution and examples related distribution models | | Week 11 |
Multiple random variables and functions | | Week 12 |
Multiple distribution functions, correlation and covariance | | Week 13 | Correlation coefficient and regression analysis | | Week 14 | Stochastic process | | Week 15 | Probablistic applications in engineering problems | | Week 16 | Final exam | | |
1 | Ziemer R.E, 1997; Elements of Engineering Probability and Statistics, Prentice-Hall, USA | | |
1 | Akdeniz F, 1996; Olasılık ve İstatistik, Baki Kitabevi, Adana | | |
Method of Assessment | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | Mid-term exam | 9 | | 2 | 50 | End-of-term exam | 16 | | 2 | 50 | |
Student Work Load and its Distribution | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | Yüz yüze eğitim | 3 | 14 | 42 | Sınıf dışı çalışma | 2 | 14 | 28 | Laboratuar çalışması | 0 | 0 | 0 | Arasınav için hazırlık | 4 | 2 | 8 | Arasınav | 2 | 1 | 2 | Uygulama | 0 | 0 | 0 | Klinik Uygulama | 0 | 0 | 0 | Ödev | 0 | 0 | 0 | Proje | 0 | 0 | 0 | Kısa sınav | 0 | 0 | 0 | Dönem sonu sınavı için hazırlık | 4 | 2 | 8 | Dönem sonu sınavı | 2 | 1 | 2 | Diğer 1 | 0 | 0 | 0 | Diğer 2 | 0 | 0 | 0 | Total work load | | | 90 |
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