| Information Systems Engineering | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code: | FEC201 | ||||||||
| Ders İsmi: | Probability and Statistics | ||||||||
| Ders Yarıyılı: | Fall | ||||||||
| Ders Kredileri: |
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| Language of instruction: | Turkish | ||||||||
| Ders Koşulu: | |||||||||
| Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||
| Type of course: | Required | ||||||||
| Course Level: |
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| Mode of Delivery: | E-Learning | ||||||||
| Course Coordinator : | Asst. Prof. Dr. BAHAR YALÇIN KAVUŞ | ||||||||
| Course Lecturer(s): | |||||||||
| Course Assistants: |
| Course Objectives: | To learn the basics of probability and statistics and their applications in engineering problems. |
| Course Content: | This course provides a comprehensive introduction to probability theory and engineering applications. Among the topics covered in the course; probability definition and rules; random variables and uncertainty, expected value, variance and standard deviation; discrete probability distributions: Bernoulli, Binomial, geometric and Poisson distributions; continuous probability distributions: smooth, exponential and normal distributions; multivariate probability distributions, covariance and correlation; descriptive statistics; sampling and sampling distributions; estimation and confidence interval; Hypothesis tests are simple correlation. |
The students who have succeeded in this course;
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| Week | Subject | Related Preparation |
| 1) | Introduction to Probability. Example Space, simple events and event definitions. Probability axioms | |
| 2) | Conditional Probability, independent, incompatibilism. Counting techniques, Permutation Combination. Tree Diagram. Binomial and Multiple Binomial Theorems | Lecture Notes |
| 3) | Random Variable, Expectation (Mean) value, variance and standard deviation | Lecture Notes |
| 4) | Discrete random variables ( Bernoulli , Binomial, Poisson ) | Lecture Notes |
| 5) | Continuous random variables (Uniform, Exponential, Gamma, Gaussian) | Lecture Notes |
| 6) | Distribution functions of Discrete and Continuous random variables | |
| 7) | Markov and Chebychev inequality. Moment generating functions and their characteristics | Lecture Notes |
| 8) | Mid term | Lecture Notes |
| 9) | Marginal and conditional probabilities of two-dimensional probability distribution functions | Lecture Notes |
| 10) | Independence, covariance, correlation and correlation coefficient of two-dimensional random variables | Lecture Notes |
| 11) | Law of large numbers, Central limit theorem, hypothesis testing | Lecture Notes |
| 12) | Normality and single sample tests | Lecture Notes |
| 13) | Two Sample Test (Dependent and Independent two sample t test) and non -parametric equivalents) | Lecture Notes |
| 14) | N sample hypothesis tests and non -parametric equivalents | Lecture Notes |
| 15) | Final | Lecture Notes |
| Course Notes / Textbooks: | Leon-Garcia, Alberto (3rd ed.) Probability, statistics, and random processes for electrical engineering |
| References: | 1. Leon-Garcia, Alberto (3rd ed.) Probability, statistics, and random processes for electrical engineering 2. Sheldon M. Ross. (Sixth Edition) Introduction to Probability and Statistics for Engineers and Scientists |
| Ders Öğrenme Kazanımları | 1 |
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2 |
3 |
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| Program Outcomes | ||||||||||||||||||||||||
| 1) Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields | ||||||||||||||||||||||||
| 2) Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. | ||||||||||||||||||||||||
| 3) Ability to identify, formulate and solve complex engineering problems. | ||||||||||||||||||||||||
| 4) Ability to select and apply appropriate analysis and modeling methods to complex engineering problems. | ||||||||||||||||||||||||
| 5) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements. | ||||||||||||||||||||||||
| 6) Ability to apply modern design methods to design a complex system, process, device or product. | ||||||||||||||||||||||||
| 7) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice. | ||||||||||||||||||||||||
| 8) Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications. | ||||||||||||||||||||||||
| 9) Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics. | ||||||||||||||||||||||||
| 10) Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | ||||||||||||||||||||||||
| 11) Ability to work effectively in disciplinary teams. | ||||||||||||||||||||||||
| 12) Ability to work effectively in multidisciplinary teams. | ||||||||||||||||||||||||
| 13) Ability to work individually. | ||||||||||||||||||||||||
| 14) Ability to communicate effectively both orally and in writing. | ||||||||||||||||||||||||
| 15) Knowledge of at least one foreign language. | ||||||||||||||||||||||||
| 16) Effective report writing and comprehension of written reports, ability to prepare design and production reports. | ||||||||||||||||||||||||
| 17) Ability to make effective presentations, give and receive clear and understandable instructions. | ||||||||||||||||||||||||
| 18) Awareness of the necessity of lifelong learning. | ||||||||||||||||||||||||
| 19) Ability to access information, to follow developments in science and technology and to continuously renew oneself. | ||||||||||||||||||||||||
| 20) Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices. | ||||||||||||||||||||||||
| 21) Knowledge of business practices such as project management, risk management and change management. | ||||||||||||||||||||||||
| 22) Awareness about entrepreneurship and innovation. | ||||||||||||||||||||||||
| 23) Knowledge about sustainable development. | ||||||||||||||||||||||||
| 24) Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering. | ||||||||||||||||||||||||
| 25) Awareness of the legal implications of engineering solutions. | ||||||||||||||||||||||||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields | 5 |
| 2) | Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. | 4 |
| 3) | Ability to identify, formulate and solve complex engineering problems. | 4 |
| 4) | Ability to select and apply appropriate analysis and modeling methods to complex engineering problems. | 5 |
| 5) | The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements. | |
| 6) | Ability to apply modern design methods to design a complex system, process, device or product. | |
| 7) | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice. | |
| 8) | Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications. | |
| 9) | Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics. | |
| 10) | Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | |
| 11) | Ability to work effectively in disciplinary teams. | |
| 12) | Ability to work effectively in multidisciplinary teams. | |
| 13) | Ability to work individually. | |
| 14) | Ability to communicate effectively both orally and in writing. | |
| 15) | Knowledge of at least one foreign language. | |
| 16) | Effective report writing and comprehension of written reports, ability to prepare design and production reports. | |
| 17) | Ability to make effective presentations, give and receive clear and understandable instructions. | |
| 18) | Awareness of the necessity of lifelong learning. | |
| 19) | Ability to access information, to follow developments in science and technology and to continuously renew oneself. | |
| 20) | Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices. | |
| 21) | Knowledge of business practices such as project management, risk management and change management. | |
| 22) | Awareness about entrepreneurship and innovation. | |
| 23) | Knowledge about sustainable development. | |
| 24) | Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering. | |
| 25) | Awareness of the legal implications of engineering solutions. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 1 | % 50 |
| Final | 1 | % 50 |
| total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| total | % 100 | |