| Biomedical 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: | The course aims 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: | The content of the course consists of 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. |
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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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| Program Outcomes | |||||||||||
| 1) Adequate knowledge of mathematics, science and biomedical engineering disciplines; Ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | |||||||||||
| 2) Ability to identify, formulate and solve complex biomedical engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | |||||||||||
| 3) 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. | |||||||||||
| 4) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in biomedical engineering practices; Ability to use information technologies effectively. | |||||||||||
| 5) Ability to design, conduct experiments, collect data, analyze and interpret results for the investigation of complex biomedical engineering problems or discipline-specific research topics. | |||||||||||
| 6) Ability to work effectively in disciplinary and multi-disciplinary teams; individual working skills. | |||||||||||
| 7) Ability to communicate effectively orally and in writing; knowledge of at least one foreign language, ability to write effective 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; the ability to access information, follow developments in science and technology, and constantly renew oneself. | |||||||||||
| 9) Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practices. | |||||||||||
| 10) Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development. | |||||||||||
| 11) Information about the effects of biomedical 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 biomedical engineering solutions. | |||||||||||
| No Effect | 1 Lowest | 2 Average | 3 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Adequate knowledge of mathematics, science and biomedical engineering disciplines; Ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | 3 |
| 2) | Ability to identify, formulate and solve complex biomedical engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | |
| 3) | 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. | |
| 4) | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in biomedical engineering practices; Ability to use information technologies effectively. | |
| 5) | Ability to design, conduct experiments, collect data, analyze and interpret results for the investigation of complex biomedical engineering problems or discipline-specific research topics. | |
| 6) | Ability to work effectively in disciplinary and multi-disciplinary teams; individual working skills. | |
| 7) | Ability to communicate effectively orally and in writing; knowledge of at least one foreign language, ability to write effective 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; the ability to access information, follow developments in science and technology, and constantly renew oneself. | |
| 9) | Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practices. | |
| 10) | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development. | |
| 11) | Information about the effects of biomedical 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 biomedical 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 | ||||||