Mathematics (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | ENS020 | ||||
Course Name: | Introduction to Optimization | ||||
Semester: |
Spring Fall |
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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): | Asist. Prof. Dr. 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 |
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) Have the knowledge of the scope, history, applications, problems, methods of mathematics and knowledge that will be beneficial to humanity as both scientific and intellectual discipline. | |||||||||||
2) Have the ability to establish a relationship between mathematics and other disciplines and develop mathematical models for interdisciplinary problems. | |||||||||||
3) Have the ability to define, formulate and analyze real life problems with statistical and mathematical techniques. | |||||||||||
4) Have the ability to think analytically and use the time effectively in the process of deduction. | |||||||||||
5) Have the ability to search the literature, understand and interpret scientific articles. | |||||||||||
6) Have the knowledge of basic software to be able to work in the related fields of computer science and have the ability to use information technologies at an advanced level of the European Computer Driving License. | |||||||||||
7) Have the ability to work efficiently in interdisciplinary teams. | |||||||||||
8) Have the ability to communicate effectively in oral and written form, write effective reports and comprehend the written reports, make effective presentations. | |||||||||||
9) Have the consciousness of professional and ethical responsibility and acting ethically; have the knowledge about academic standards. | |||||||||||
10) Have the ability to use a foreign language at least at B1 level in terms of European Language Portfolio criteria. | |||||||||||
11) Are aware of the necessity of lifelong learning; have the ability to access information, to follow developments in science and technology and to constantly renew themselves. |
No Effect | 1 Lowest | 2 Average | 3 Highest |
Program Outcomes | Level of Contribution | |
1) | Have the knowledge of the scope, history, applications, problems, methods of mathematics and knowledge that will be beneficial to humanity as both scientific and intellectual discipline. | |
2) | Have the ability to establish a relationship between mathematics and other disciplines and develop mathematical models for interdisciplinary problems. | |
3) | Have the ability to define, formulate and analyze real life problems with statistical and mathematical techniques. | |
4) | Have the ability to think analytically and use the time effectively in the process of deduction. | |
5) | Have the ability to search the literature, understand and interpret scientific articles. | |
6) | Have the knowledge of basic software to be able to work in the related fields of computer science and have the ability to use information technologies at an advanced level of the European Computer Driving License. | |
7) | Have the ability to work efficiently in interdisciplinary teams. | |
8) | Have the ability to communicate effectively in oral and written form, write effective reports and comprehend the written reports, make effective presentations. | |
9) | Have the consciousness of professional and ethical responsibility and acting ethically; have the knowledge about academic standards. | |
10) | Have the ability to use a foreign language at least at B1 level in terms of European Language Portfolio criteria. | |
11) | Are aware of the necessity of lifelong learning; have the ability to access information, to follow developments in science and technology and to constantly renew themselves. |
Semester Requirements | Number of Activities | Level of Contribution |
Quizzes | 2 | % 20 |
Midterms | 1 | % 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 |