| Biomedical Engineering (English) | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code: | ENS020 | ||||
| Course Name: | Introduction to Optimization | ||||
| Semester: | Fall | ||||
| Course Credits: |
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| Language of instruction: | English | ||||
| Course Condition: | |||||
| Does the Course Require Work Experience?: | No | ||||
| Type of course: | Departmental Elective | ||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||
| Course Coordinator: | Dr. Öğr. Üy. EMRE ÇAKMAK | ||||
| Course Lecturer(s): | Emre Cakmak | ||||
| Course Assistants: |
| Course Objectives: | This course aims to understand basic quantitative techniques concepts and mathematical modeling, formulate the mathematical model, apply linear programming method to the real life problems and apply the simplex method the linear programming problems |
| Course Content: | Introduction / The mathematical methods of operations research / Formulation of the mathematical problems / Solving the mathematical problems by graphical method / Integer Programming / Introduction the Excel Solver |
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The students who have succeeded in this course;
1) Have knowledge about basic quantitative techniques 2) Able to develop mathematical model 3) Able to solve mathematical models with graphical 4) Able to solve some mathematical models by using the integer programming |
| Week | Subject | Related Preparation |
| 1) | Introduction | |
| 2) | The mathematical methods of operations research | |
| 3) | Formulation of the mathematical problems | |
| 4) | Formulation of the mathematical problems -II | |
| 5) | Solving the mathematical problems by graphical method | |
| 6) | Solving the mathematical problems by graphical method - II | |
| 7) | Midterm | |
| 8) | Integer programming | |
| 9) | Mixed Integer Programming | |
| 10) | Integer Prıgramming Examples | |
| 11) | Midterm - II | |
| 12) | Introduction the Excel Solver | |
| 13) | Solving the mathematical problems by Excel Solver I | |
| 14) | Solving the mathematical problems by Excel Solver - II |
| Course Notes / Textbooks: | Winston, W.L. (2004). Operations Research: Applications and Algorithms, 4th Ed., Thomson Learning. Hillier F.S. and Lieberman, F.S. (2015). Introduction to Operation Research, 10th Edition, McGraw-Hill Education |
| References: | Lecture Notes |
| 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. | |
| 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 |
| Homework Assignments | 1 | % 20 |
| Midterms | 2 | % 30 |
| Final | 1 | % 50 |
| total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| total | % 100 | |
| Activities | Number of Activities | Preparation for the Activity | Spent for the Activity Itself | Completing the Activity Requirements | Workload | ||
| Course Hours | 14 | 2 | 28 | ||||
| Quizzes | 2 | 15 | 30 | ||||
| Midterms | 1 | 20 | 20 | ||||
| Final | 1 | 35 | 35 | ||||
| Total Workload | 113 | ||||||