| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Probability and Statistics | EEM267 | 3. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face-to-face and online |
| Course Coordinator |
Assoc. Prof. Dr. Selman KULAÇ Assist. Prof. Dr. OSMAN DİKMEN Res. Assist. Elif Eda TAKGİL |
| Instructors |
OSMAN DİKMEN |
| Assistants | |
| Goals | To enable students to learn probabilistic and statistical concepts that they can use in electrical-electronic system analysis and design, especially communication systems. In addition, relevant current issues are researched and presented in the classroom environment. |
| Course Content | 1. Introduction to probability 2. Discrete and continuous random variables 3. Two-dimensional distributions 4. Short introduction 5. Statistical hypothesis testing and linear models 6. Regression and Analysis of Variance |
| Learning Outcomes |
- To learn basic probability concepts - To have knowledge about random variables and probability functions - To have knowledge about discrete and continous distributions - To learn basic statistical concepts - To have knowledge about statistical analysis methods |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Introduction to probability, sample space and event, joint event, probability axioms | |
| 2. Week | Conditional probability, tree diagrams, total probability formula, Bayes' theorem, independence | |
| 3. Week | Distribution and density functions of continuous and discrete random variables, mean and standard deviation values | |
| 4. Week | Moment concept, relationship between moments, Chebyshev inequality | |
| 5. Week | Bivariate (joint) discrete and continuous random variables | |
| 6. Week | Conditional probability distributions, sample problems | |
| 7. Week | Concepts of covariance, correlation and correlation coefficient | |
| 8. Week | Solving questions | |
| 9. Week | Discrete distributions: bernoulli, binomial, negative binomial, geometric, poisson and hypergeometric | |
| 10. Week | Continuous distributions: uıniform, exponential, normal distributions | |
| 11. Week | Sampling, statistical estimation, confidence intervals | |
| 12. Week | Hypothesis testing, power of test, independence test | |
| 13. Week | Regression analysis: linear regression, least squares method, multiple regression | |
| 14. Week | Variance analysis |
| 1. Prof. Dr. Fikri Akdeniz, Olasılık ve İstatistik, 2016, Akademisyen Kitabevi |
| 2. Prof. Dr. Aydın ÜSTÜN, Olasılık ve İstatistik, 2014 (Taslak) |
| 3. Stark, H., Woods J. W., Probabiliy and Random Processes with Applications to Signal Processing, Third edition, Prentice Hall, 2002 |
| 4. Papoulis A., Pillai S.U., Probability, Random Variables and Stochastic Processes, Fourth edition, McGraw Hill, 2002. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY2 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY3 | 3 | 3 | 3 | 3 | 3 | 3 | 40,60 |
| PY4 | 3 | 3 | 3 | 3 | 3 | 3 | 40,60 |
| PY5 | 3 | 3 | 3 | 3 | 3 | 3 | 40,60 |
| PY6 | 2 | 2 | 2 | 2 | 2 | 2 | 40,60 |
| PY7 | 2 | 2 | 2 | 2 | 2 | 2 | 40,60 |
| PY8 | 2 | 2 | 2 | 2 | 2 | 2 | 40,60 |
| PY9 | 0 | 0 | 0 | 0 | 0 | 0 | 40,60 |
| PY10 | 0 | 0 | 0 | 0 | 0 | 0 | 40,60 |
| PY11 | 0 | 0 | 0 | 0 | 0 | 0 | 40,60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Midterm 1 | 1 | 25 | 25 |
| Homework 1 | 1 | 15 | 15 |
| Final | 1 | 25 | 25 |
| Practice | 1 | 10 | 10 |
| Practice End-Of-Term | 1 | 10.5 | 10.5 |
| Classroom Activities | 14 | 3 | 42 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 5.0 | ||
