|
|
| EEE2011 | Probability and Random Processes | 3+0+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of ELECTRICAL and ELECTRONICS ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Dr. Öğr. Üyesi Mehmet ÖZTÜRK | | Co-Lecturer | ASSOC. PROF. DR. Gökçe HACIOĞLU, | | Language of instruction | | | Professional practise ( internship ) | None | | | | The aim of the course: | | The objective of this course is to provide electrical and electronics 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. | 1,2,3,12 | 1 | | LO - 2 : | gain probablity distribution and models | 1,2,3,12 | 1 | | LO - 3 : | learn to solve based probabity theory some problems in electrical and electronics engineneering | 1,2,3,12 | 1 | | LO - 4 : | gain probablity applications on electrical and electronics engineering | 1,2,3,12 | 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 |
| |
| 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 | Miller, Scott; Childers, Donald; Probability and Random Processes with Applications to Signal Processing and Communications; MA 02451, USA | | | |
| 1 | Ziemer R.E, 1997; Elements of Engineering Probability and Statistics, Prentice-Hall, USA | | | 2 | 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 | | 1.5 | 50 | | End-of-term exam | 16 | | 1.5 | 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 | 13 | 39 | | Sınıf dışı çalışma | 6 | 13 | 78 | | Arasınav için hazırlık | 20 | 1 | 20 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 20 | 1 | 20 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 161 |
|