| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Probability and Statistics | IST 204 | 4 | 3 + 0 | 3 | 5 |
| Precondition Courses | MAT 111 , MAT 112 |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | Bachelor's Degree |
| Course Type | Compulsory |
| Course Coordinator | Dr.Öğr.Üyesi TÜRKER FEDAİ ÇAVUŞ |
| Course Lecturers | Dr.Öğr.Üyesi GÖKÇEN ÇETİNEL, Dr.Öğr.Üyesi TÜRKER FEDAİ ÇAVUŞ, |
| Course Assistants | |
| Course Category | Available Basic Education in the Field |
| Course Objective | Introduce statistical concepts and techniques required analysis of electrical and electronics systems especially communication systems |
| Course Content | Introduction to probability, discrete random variables, continuous random variables, distributions involving two random variables, introduction to statistical parameter estimation, statistical hypothesis testing, linear models |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Understanding the concept of a random variable | Lecture, Question-Answer, Discussion, Problem Solving, | Testing, Homework, |
| 2 | Obtaining a working knowledge on probability density function | Lecture, Question-Answer, Problem Solving, | Testing, Oral Exam, Homework, |
| 3 | Learning the concept of expected value of a random variable | Lecture, Question-Answer, Problem Solving, | Testing, Oral Exam, Homework, |
| 4 | Discussing statistical parameter estimation | Lecture, Question-Answer, Discussion, Problem Solving, | Testing, Oral Exam, Homework, |
| 5 | Learning statistical hypothesis testing | Lecture, Question-Answer, Problem Solving, | Testing, Oral Exam, Homework, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | Introduction to probability, sample space and event, composite event, probability axioms, finite probability spaces | |
| 2 | Conditional probability, conditional probability axioms, Bayes Theorem, independence, repeated trials | |
| 3 | Probability distribution function, probability density function, expected value and variance of discrete and continuous random variables | |
| 4 | Concept of moment, relationship between moments, moment generating function, Chebyshev inequality, the law of large numbers | |
| 5 | Discrete distributions: Bernoulli, binomial, multinomial, geometric, Poisson and hypergeometric distributions | |
| 6 | Continuous distributions: Uniform, exponential and Normal distributions | |
| 7 | Gamma, chi-square, student-t and beta distributions | |
| 8 | Discrete and continuous distributions with two random variables | |
| 9 | Conditional probability density function | |
| 10 | Concepts of covariance, correlation and correlation coefficient | |
| 11 | Sampling, statistical parameter estimation, confidence intervals for parameter estimation | |
| 12 | Hypothesis tests, power of the test, independence test | |
| 13 | Regression analysis: linear regression, the least squares method, multivariate regression | |
| 14 | Variance analysis |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | |
| Order | Program Outcomes | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. | X | |||||
| 2 | Ability to identify formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | ||||||
| 3 | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues, according to the nature of the design.) | ||||||
| 4 | Ability to devise, select, and use modem techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. | ||||||
| 5 | Ability to design and conduct experiments, gather data analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | ||||||
| 6 | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||
| 7 | Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. | ||||||
| 8 | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | ||||||
| 9 | Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. | ||||||
| 10 | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | ||||||
| 11 | Knowledge about the global and social effects of engineering practice on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. | ||||||
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Kısa Sınav | 15 |
| 2. Kısa Sınav | 15 |
| 1. Ara Sınav | 55 |
| 3. Kısa Sınav | 15 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 40 |
| 1. Final | 60 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 10 | 10 |
| Assignment | 1 | 5 | 5 |
| Final examination | 1 | 15 | 15 |
| Total Workload | 126 | ||
| Total Workload / 25 (Hours) | 5.04 | ||
| dersAKTSKredisi | 5 | ||