IE265 INTRODUCTION TO PROBABILITY
| Course Code: | 5680265 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Industrial Engineering |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assist.Prof.Dr SAKİNE BATUN |
| Offered Semester: | Fall Semesters. |
Course Objectives
COURSE OBJECTIVE 1: At the end of the course, the students will understand the fundamental concepts of probability.
COURSE OBJECTIVE 2: At the end of the course, the students will understand the concept of random variables and the probability distributions.
COURSE OBJECTIVE 3: At the end of the course, the students will understand the concept of random vectors and random samples.
Course Content
Elements of probability. Random variables and distibutions. Two and higher dimensional random variables. Mathematical expectation. Generating functions. Limiting and sampling distributions.
Course Learning Outcomes
1. the fundamental concepts of probability:
1.1. define the relevant random events of a random experiment, compute the probabilities of simple and composition of events.
1.2. check the independence of events, compute the conditional probabilities, use Bayes’ Theorem.
2. the concept of random variables and the probability distributions:
2.1. compute probabilities related to a random variable, expected value and variance of a random variable using probability mass function, probability density function, cumulative distribution function.
2.2. know and use properties of some well-known discrete and continuous probability distributions.
3. the concept of random vectors and random samples:
3.1. use joint distributions to compute probabilities of events in more than one random variable, compute marginal distributions, compute the distributions of functions of two random variables.
3.2. know properties of random samples and the distributions of the sample mean and sample variance.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics | ✔ | |||
| 2 | An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors | ✔ | |||
| 3 | An ability to communicate effectively with a range of audiences | ✔ | |||
| 4 | An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts | ✔ | |||
| 5 | An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives | ✔ | |||
| 6 | An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions | ✔ | |||
| 7 | An ability to acquire and apply new knowledge as needed, using appropriate learning strategies | ✔ | |||
| 8 | An ability to design, analyze, operate, and improve integrated systems that produce and/or supply products and/or services in an effective, efficient, sustainable, and socially responsible manner | ✔ | |||
| 9 | An ability to apply critical reason and systems thinking in problem solving and systems design | ✔ | |||
| 10 | An ability to use scientific methods and tools (such as mathematical models, statistical methods and techniques) necessary for industrial engineering practice | ✔ | |||