ECTS - Probability and Random Processes
Probability and Random Processes (EE213) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Probability and Random Processes | EE213 | 3. Semester | 3 | 0 | 0 | 3 | 7 |
| Pre-requisite Course(s) |
|---|
| MATH158 |
| Course Language | English |
|---|---|
| Course Type | Compulsory Departmental Courses |
| Course Level | Bachelor’s Degree (First Cycle) |
| Mode of Delivery | Mix |
| Learning and Teaching Strategies | Lecture, Question and Answer, Drill and Practice, Problem Solving, Team/Group. |
| Course Lecturer(s) |
|
| Course Objectives | Understanding the probability axioms. Describing the discrete and continuous random variables, respectively. Distinguishing the discrete and continuous Random variables. Understanding the probability mass function (PMF), probability distribution function (PDF), cumulative distribution function (CDF), expected value, variance and standard deviation, and Gaussian random variable concepts. Defining the multiple random variables for both discrete and continuous cases. Understanding joint PMF, PDF, CDF and conditional PMF, PDF, CDF. Identifying the Stochastic Process, Poisson process, Stationary process, expected value and correlation. Describing the sum of random variables. Identifying random signal processing and cross correlation. |
| Course Learning Outcomes |
The students who succeeded in this course;
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| Course Content | Probability and its axioms, conditional probability, independence, counting, discrete and continuous random variables and distributions, functions of random variables, expectations, order statistics, central limit theorem, estimation of random variables, random processes and their characterization, autocorrelation function, response of linear sys |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Introduction: probability theory | Study lecture notes |
| 2 | Experiments, Models, and Probabilities-1 | Study lecture notes |
| 3 | Experiments, Models, and Probabilities-2 | Study lecture notes |
| 4 | Sequential Experiments | Study lecture notes |
| 5 | Discrete Random Variables | Study lecture notes |
| 6 | Continuous Random Variables | Study lecture notes |
| 7 | Probability Models of Derived Random Variables | Study lecture notes |
| 8 | Conditional Probability Models-1 | Study lecture notes |
| 9 | Conditional Probability Models-2 | Study lecture notes |
| 10 | Midterm examination | Study lecture notes |
| 11 | Multiple random variables | Study lecture notes |
| 12 | Sums of Random Variables | Study lecture notes |
| 13 | Stochastic Processes-1 | Study lecture notes |
| 14 | Stochastic processes-2 | Study lecture notes |
| 15 | Reviews | Study lecture notes |
| 16 | Preparation for final examination | Study lecture notes |
Sources
| Course Book | 1. Yates, R.D., Goodman, D.J., Probability and Stochastic Processes, John Wiley Sons, 1st,2nd or 3rd edition. |
|---|---|
| Other Sources | 2. Bertsekas, D.P., Tsitsiklis, J.N., Introduction to Probability, Athena Scientific, 2nd edition, 2008. |
| 3. Leon-Garcia, L., Probability, Statistics and Random Processes for Electrical Engineering, Pearson Education, 2nd edition,2008. |
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | 8 | 55 |
| Homework Assignments | - | - |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 1 | 20 |
| Final Exam/Final Jury | 1 | 25 |
| Toplam | 10 | 100 |
| Percentage of Semester Work | |
|---|---|
| Percentage of Final Work | 100 |
| Total | 100 |
Course Category
| Core Courses | X |
|---|---|
| Major Area Courses | |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Possesses sufficient knowledge in mathematics, natural sciences, and discipline-specific topics in Electrical and Electronics Engineering; uses this theoretical and practical knowledge to solve complex engineering problems. | X | ||||
| 2 | Identifies, defines, formulates, and solves complex engineering problems; selects and applies appropriate analytical and modeling methods for this purpose. | X | ||||
| 3 | Designs complex systems, processes, devices, or products under realistic constraints and conditions to meet specific requirements; applies modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, depending on the nature of the design.) | |||||
| 4 | Selects and uses modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; effectively uses information technologies. | |||||
| 5 | Designs experiments, conducts tests, collects data, analyzes, and interprets results to investigate complex engineering problems or discipline-specific research topics. | |||||
| 6 | Works effectively in disciplinary and interdisciplinary teams; develops the ability to work independently. | |||||
| 7 | Communicates effectively in both written and verbal forms; possesses proficiency in at least one foreign language; writes effective reports, understands written reports, prepares design and production reports, delivers effective presentations, and gives and receives clear instructions. | |||||
| 8 | Recognizes the need for lifelong learning; accesses information, follows developments in science and technology, and continuously renews oneself. | |||||
| 9 | Acts in accordance with ethical principles, assumes professional and ethical responsibility, and possesses knowledge about the standards used in engineering practices. | |||||
| 10 | Possesses knowledge about professional practices such as project management, risk management, and change management; gains awareness of entrepreneurship and innovation; understands the principles of sustainable development. | |||||
| 11 | Understands the universal and societal impacts of engineering practices on health, environment, and safety; recognizes the contemporary issues reflected in the field of engineering and understands the legal implications of engineering solutions. | |||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | 16 | 3 | 48 |
| Laboratory | |||
| Application | |||
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 16 | 4 | 64 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | |||
| Quizzes/Studio Critics | 8 | 5 | 40 |
| Prepration of Midterm Exams/Midterm Jury | 1 | 12 | 12 |
| Prepration of Final Exams/Final Jury | 1 | 12 | 12 |
| Total Workload | 176 | ||