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Information
| Code | CEN220 |
| Name | Probability and Statistics |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MEHMET FATİH AKAY |
| Course Instructor |
1 2 |
Course Goal / Objective
Introduce the student with probability concepts and their relation to the events.
Course Content
Probability, conditional probability, Bernoulli trials, the concept of a random variable, distribution and density functions, specific random variables, conditional distributions, functions of one random variable, mean and variance, functions of two random variables, conditional expected values, stochastic processes, systems with stochastic inputs, the power spectrum, discrete-time processes, poisson process.
Course Precondition
There is no prerequisite.
Resources
“Statistics for Business and Economics” Paul Newbold, William L. Carlson and Betty Thorne, Upper Saddle River, N.J. : Prentice Hall, cop. 2007, 7th ed.
Notes
Navidi, William (2019) Statistics for Engineers and Scientists, 5th ed., McGraw Hill.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | The definitions of probability and conditional probability are learned, and basic probability concepts are understood. |
| LO02 | Bernoulli trials are studied along with the concept and types of random variables. |
| LO03 | Methods for calculating the expected value and variance of random variables are learned. |
| LO04 | The concept of random functions and their role in probability models are explored. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge of mathematics, science and related engineering disciplines; ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work effectively in interdisciplinary and multidisciplinary teams; individual working skills. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to probability | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 2 | Set theory and conditional probability | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 3 | Bernoulli trials | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 4 | Random variables | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 5 | Cumulative distribution function | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 6 | Probability density function | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 7 | Specific random variables | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | There is no prerequisite. | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Discrete random variables | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 10 | Conditional distributions | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 11 | Asymptotic approximations | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 12 | Functions of one random variable | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 13 | Expected value | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 14 | Functions of two random variables | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 15 | Sample of Problems | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | There is no prerequisite. | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | There is no prerequisite. | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 28 | 28 |
| Total Workload (Hour) | 153 | ||
| Total Workload / 25 (h) | 6,12 | ||
| ECTS | 6 ECTS | ||