Industrial 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: | Dr. Öğr. Üy. FUNDA ÖZDEMİR | ||||
Course Lecturer(s): | Assist. Prof. Dr. FUNDA ÖZDEMIR | ||||
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. |
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 |
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3 |
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6 |
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Program Outcomes | |||||||||||
1) Adequate knowledge in mathematics, science and industrial engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 3 | 3 | 3 | 3 | 3 | 3 | |||||
2) Ability to identify, formulate, and solve complex industrial engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | |||||||||||
3) Ability to design a complex industrial system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | |||||||||||
4) Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in industrial engineering applications; ability to use information technologies effectively. | |||||||||||
5) Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or industrial engineering research topics. | |||||||||||
6) Ability to work effectively within and multidisciplinary teams; individual study skills. | |||||||||||
7) Ability to communicate effectively orally and in writing; knowledge of at least one foreign language; ability to write effectice reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |||||||||||
8) Awareness of the necessity of lifelong learning; ability to access information, to follow developments in science and technology and to renew continuously. | |||||||||||
9) To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications. | |||||||||||
10) Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development. | |||||||||||
11) Knowledge of the effects of industrial engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in industrial engineering; awareness of the legal consequences of industrial engineering solutions. |
No Effect | 1 Lowest | 2 Average | 3 Highest |
Program Outcomes | Level of Contribution | |
1) | Adequate knowledge in mathematics, science and industrial engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 3 |
2) | Ability to identify, formulate, and solve complex industrial engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | |
3) | Ability to design a complex industrial system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | |
4) | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in industrial engineering applications; ability to use information technologies effectively. | |
5) | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or industrial engineering research topics. | |
6) | Ability to work effectively within and multidisciplinary teams; individual study skills. | |
7) | Ability to communicate effectively orally and in writing; knowledge of at least one foreign language; ability to write effectice reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
8) | Awareness of the necessity of lifelong learning; ability to access information, to follow developments in science and technology and to renew continuously. | |
9) | To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications. | |
10) | Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development. | |
11) | Knowledge of the effects of industrial engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in industrial engineering; awareness of the legal consequences of industrial 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 |