| Electrical and Electronic Engineering (English) | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code: | MATH210 | ||||
| Course Name: | Probability and Statistics | ||||
| Semester: | Spring | ||||
| Course Credits: |
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| Language of instruction: | English | ||||
| Course Condition: | |||||
| Does the Course Require Work Experience?: | No | ||||
| Type of course: | Compulsory Courses | ||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||
| Course Coordinator: | Prof. Dr. ŞÜKRÜ YALÇINKAYA | ||||
| Course Lecturer(s): | Prof. ALIREZA AMIRTEIMOORI | ||||
| Course Assistants: |
| Course Objectives: | To teach the concepts and ideas about statistics and probability, to establish meaningful relationships between these concepts and ideas, to develop statistical thinking and reasoning skills. |
| Course Content: | Sample space, probability, conditional probability, counting, combinatorics, discrete/continuous random variables, conditioning, independence, expectation, variance, covariance, Bayesian inference, sampling distributions, hypothesis testing, confidence intervals, and linear regression. |
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The students who have succeeded in this course;
1) Understand and apply basic concepts of probability (sample spaces, counting, etc.), the mathematical descriptions of random variables and distribution functions. 2) Comprehends widely used random variables (such as Uniform, Gaussian, Poisson, etc.). 3) Compute the moments of random variables including the mean and variance. 4) Characterize multiple random variables using joint distribution functions. 5) Understand the law of large numbers and the central limit theorem. 6) Use statistical concepts and tools to interpret engineering data. |
| Week | Subject | Related Preparation |
| 1) | Sample spaces and probability | |
| 2) | Bayes rule and independence | |
| 3) | Counting and combinatorics | |
| 4) | Discrete random variables | |
| 5) | Discrete random variables | |
| 6) | Discrete random variables | |
| 7) | Continuous random variables | |
| 8) | Midterm Exam | |
| 9) | Continuous random variables | |
| 10) | Continuous random variables | |
| 11) | Sampling distributions | |
| 12) | Confidence intervals | |
| 13) | Hypothesis testing | |
| 14) | Linear regression |
| Course Notes / Textbooks: | Walpole, M. (2016). Probability and Statistics for Engineers and Scientists (9th/Global edition), Pearson Education. |
| References: | Baron, M. (2014/2019). Probability and Statistics for Computer Scientists (2nd or 3rd edition), CRC Press / Taylor & Francis. Richard A. Johnson. Probability and Statistics for Engineers (Ninth/Global Edition), Pearson. |
| Course Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
6 |
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| Program Outcomes | ||||||||||||||||||
| 1) Has sufficient knowledge in mathematics and natural sciences. | 3 | 3 | 3 | 3 | 3 | 3 | ||||||||||||
| 2) Has sufficient knowledge in Electrical and Electronics engineering–specific subjects. | ||||||||||||||||||
| 3) Has the ability to apply theoretical and practical knowledge of mathematics, natural sciences, and Electrical and Electronics engineering to solve complex engineering problems. | ||||||||||||||||||
| 4) Has the ability to identify, formulate, and solve complex engineering problems, and to select and apply appropriate analysis and modeling methods for this purpose. | ||||||||||||||||||
| 5) Has the ability to design complex systems, processes, devices, or products under realistic constraints and conditions to meet specific requirements, and to apply modern design methods for this purpose. | ||||||||||||||||||
| 6) Has the ability to select and use modern techniques and tools required for the analysis and solution of complex engineering problems encountered in engineering practice, and to use information technologies effectively. | ||||||||||||||||||
| 7) Has the ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or Electrical and Electronics engineering–specific research topics. | ||||||||||||||||||
| 8) Has the ability to work effectively in disciplinary teams. | ||||||||||||||||||
| 9) Has the ability to work effectively in multidisciplinary teams. | ||||||||||||||||||
| 10) Has the ability to work individually. | ||||||||||||||||||
| 11) Has the ability to communicate effectively in oral and written form; has knowledge of at least one foreign language; writes effective reports, understands written reports, prepares design and production reports, makes effective presentations, and gives and receives clear and understandable instructions. | ||||||||||||||||||
| 12) Has awareness of the necessity for lifelong learning; accesses information, follows developments in science and technology, and continuously renews oneself. | ||||||||||||||||||
| 13) Acts in accordance with ethical principles; has knowledge of professional and ethical responsibilities and of the standards used in engineering practices. | ||||||||||||||||||
| 14) Has knowledge of business practices such as project management, risk management, and change management. | ||||||||||||||||||
| 15) Has awareness of entrepreneurship and innovation. | ||||||||||||||||||
| 16) Has knowledge of sustainable development. | ||||||||||||||||||
| 17) Has knowledge of the impacts of engineering practices on health, environment, and safety on a universal and societal scale, and awareness of contemporary issues reflected in the field of engineering. | ||||||||||||||||||
| 18) Has awareness of the legal consequences of engineering solutions. | ||||||||||||||||||
| No Effect | 1 Lowest | 2 Average | 3 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Has sufficient knowledge in mathematics and natural sciences. | 3 |
| 2) | Has sufficient knowledge in Electrical and Electronics engineering–specific subjects. | |
| 3) | Has the ability to apply theoretical and practical knowledge of mathematics, natural sciences, and Electrical and Electronics engineering to solve complex engineering problems. | |
| 4) | Has the ability to identify, formulate, and solve complex engineering problems, and to select and apply appropriate analysis and modeling methods for this purpose. | |
| 5) | Has the ability to design complex systems, processes, devices, or products under realistic constraints and conditions to meet specific requirements, and to apply modern design methods for this purpose. | |
| 6) | Has the ability to select and use modern techniques and tools required for the analysis and solution of complex engineering problems encountered in engineering practice, and to use information technologies effectively. | |
| 7) | Has the ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or Electrical and Electronics engineering–specific research topics. | |
| 8) | Has the ability to work effectively in disciplinary teams. | |
| 9) | Has the ability to work effectively in multidisciplinary teams. | |
| 10) | Has the ability to work individually. | |
| 11) | Has the ability to communicate effectively in oral and written form; has knowledge of at least one foreign language; writes effective reports, understands written reports, prepares design and production reports, makes effective presentations, and gives and receives clear and understandable instructions. | |
| 12) | Has awareness of the necessity for lifelong learning; accesses information, follows developments in science and technology, and continuously renews oneself. | |
| 13) | Acts in accordance with ethical principles; has knowledge of professional and ethical responsibilities and of the standards used in engineering practices. | |
| 14) | Has knowledge of business practices such as project management, risk management, and change management. | |
| 15) | Has awareness of entrepreneurship and innovation. | |
| 16) | Has knowledge of sustainable development. | |
| 17) | Has knowledge of the impacts of engineering practices on health, environment, and safety on a universal and societal scale, and awareness of contemporary issues reflected in the field of engineering. | |
| 18) | Has awareness of the legal consequences of engineering solutions. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 1 | % 40 |
| Final | 1 | % 60 |
| total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 40 | |
| PERCENTAGE OF FINAL WORK | % 60 | |
| total | % 100 | |
| Activities | Number of Activities | Preparation for the Activity | Spent for the Activity Itself | Completing the Activity Requirements | Workload | ||
| Course Hours | 13 | 0 | 3 | 39 | |||
| Application | 13 | 0 | 2 | 26 | |||
| Study Hours Out of Class | 13 | 0 | 3 | 39 | |||
| Midterms | 1 | 13 | 2 | 15 | |||
| Final | 1 | 23 | 2 | 25 | |||
| Total Workload | 144 | ||||||