ACADEMICS
Course Details
ELE 302 Probability Theory
2021-2022 Spring term information
The course is open this term
| Supervisor(s): | Dr. Berkan Dülek | |
| Place | Day | Hours |
|---|---|---|
| Online | Friday | 09:00 - 11:45 |
Timing data are obtained using weekly schedule program tables. To make sure whether the course is cancelled or time-shifted for a specific week one should consult the supervisor and/or follow the announcements.
Course definition tables are extracted from the ECTS Course Catalog web site of Hacettepe University (http://akts.hacettepe.edu.tr) in real-time and displayed here. Please check the appropriate page on the original site against any technical problems. Course data last updated on 24/05/2022.
ELE302 - PROBABILITY THEORY
| Course Name | Code | Semester | Theory (hours/week) |
Application (hours/week) |
Credit | ECTS |
|---|---|---|---|---|---|---|
| PROBABILITY THEORY | ELE302 | 6th Semester | 3 | 0 | 3 | 5 |
| Prerequisite(s) | MAT123 Mathematics I | |||||
| Course language | English | |||||
| Course type | Must | |||||
| Mode of Delivery | Face-to-Face | |||||
| Learning and teaching strategies | Lecture Question and Answer Problem Solving | |||||
| Instructor (s) | Faculty members | |||||
| Course objective | To introduce the basic concepts of probability theory To have the students acquire the skills to analyze nondeterministic signals by modelling them as random processes. | |||||
| Learning outcomes |
| |||||
| Course Content | Introduction and definitions (Set Theory, Experiment, Sample Space, Events) Mathematical model of probability, Joint and conditional probability, Bayes theorem Independent events and Bernoulli trials The random variable concept Probability distribution and density functions Conditional distributions and densities Expected values, moments and characteristic functions Transformations of a single random variable. Multiple random variables, joint distribution and density functions Limit theorems Operations on multiple random variables Definition of a random process Independence and stationarity Time averages, statistical averages and ergodicity Autocorrelation and cross-correlation functions Gauss and Poisson processes | |||||
| References | Peebles, Jr., Probability, Random Variables, and Random Signal Principles, 4th Ed., McGraw-Hill, 2001. | |||||
Course outline weekly
| Weeks | Topics |
|---|---|
| Week 1 | Introduction and definitions (Set Theory, Experiment, Sample Space, Events) |
| Week 2 | Mathematical model of probability, Joint and conditional probability, Bayes theorem |
| Week 3 | Independent events and Bernoulli trials |
| Week 4 | The random variable concept |
| Week 5 | Probability distribution and density functions, Conditional distributions and densities |
| Week 6 | Expected values, moments and characteristic functions |
| Week 7 | Transformations of a single random variable |
| Week 8 | Midterm |
| Week 9 | Multiple random variables, joint distribution and density functions |
| Week 10 | Limit theorems, Operations on multiple random variables |
| Week 11 | Random processes and their properties |
| Week 12 | Independence and stationarity of random processes |
| Week 13 | Time averages, statistical averages and ergodicity, Autocorrelation and cross-correlation functions |
| Week 14 | Gauss and Poisson processes |
| Week 15 | Final exam preparation |
| Week 16 | Final exam |
Assesment methods
| Course activities | Number | Percentage |
|---|---|---|
| Attendance | 0 | 0 |
| Laboratory | 0 | 0 |
| Application | 0 | 0 |
| Field activities | 0 | 0 |
| Specific practical training | 0 | 0 |
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| Project | 0 | 0 |
| Seminar | 0 | 0 |
| Midterms | 1 | 40 |
| Final exam | 1 | 60 |
| Total | 100 | |
| Percentage of semester activities contributing grade succes | 0 | 40 |
| Percentage of final exam contributing grade succes | 0 | 60 |
| Total | 100 | |
Workload and ECTS calculation
| Activities | Number | Duration (hour) | Total Work Load |
|---|---|---|---|
| Course Duration (x14) | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Specific practical training | 0 | 0 | 0 |
| Field activities | 0 | 0 | 0 |
| Study Hours Out of Class (Preliminary work, reinforcement, ect) | 14 | 5 | 70 |
| Presentation / Seminar Preparation | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework assignment | 0 | 0 | 0 |
| Midterms (Study duration) | 1 | 18 | 18 |
| Final Exam (Study duration) | 1 | 20 | 20 |
| Total Workload | 30 | 46 | 150 |
Matrix Of The Course Learning Outcomes Versus Program Outcomes
| D.9. Key Learning Outcomes | Contrubition level* | ||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |
| 1. PO1. Possesses the theoretical and practical knowledge required in Electrical and Electronics Engineering discipline. | X | ||||
| 2. PO2. Utilizes his/her theoretical and practical knowledge in the fields of mathematics, science and electrical and electronics engineering towards finding engineering solutions. | X | ||||
| 3. PO3. Determines and defines a problem in electrical and electronics engineering, then models and solves it by applying the appropriate analytical or numerical methods. | X | ||||
| 4. PO4. Designs a system under realistic constraints using modern methods and tools. | X | ||||
| 5. PO5. Designs and performs an experiment, analyzes and interprets the results. | X | ||||
| 6. PO6. Possesses the necessary qualifications to carry out interdisciplinary work either individually or as a team member. | X | ||||
| 7. PO7. Accesses information, performs literature search, uses databases and other knowledge sources, follows developments in science and technology. | X | ||||
| 8. PO8. Performs project planning and time management, plans his/her career development. | X | ||||
| 9. PO9. Possesses an advanced level of expertise in computer hardware and software, is proficient in using information and communication technologies. | X | ||||
| 10. PO10. Is competent in oral or written communication; has advanced command of English. | X | ||||
| 11. PO11. Has an awareness of his/her professional, ethical and social responsibilities. | X | ||||
| 12. PO12. Has an awareness of the universal impacts and social consequences of engineering solutions and applications; is well-informed about modern-day problems. | X | ||||
| 13. PO13. Is innovative and inquisitive; has a high level of professional self-esteem. | X | ||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest