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| EKO5060 | Mathematical Economics-I | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Second Cycle | | Status | Elective | | Department | DEPARTMENT of ECONOMETRICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Nebiye YAMAK | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Since the last 30-40 years, there are no studies which didn't use mathematics in economic theory and applied economics. Therefore, firstly our purpose is to teach simple mathematical techniques and then continue with complicated mathematical techniques |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | define of mathematical instruments and economic models | 1,6 | 1, | | PO - 2 : | understand the identification of economic models by using the mathematical models | 1,6 | 1, | | PO - 3 : | apply the mathematical instruments to economic models | 1,6 | 1, | | PO - 4 : | analyze the economic relations by using the mathematical instruments | 1,6 | 1, | | PO - 5 : | create a new perspective on economic relations by using mathematical instruments | 1,6 | 1, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| The nature of mathematical economics, economic models, Equilibrium Analysis in Economics, Linear Models and Matrix Algebra, Comparative Statistics and Concept of Derivative, Rules of Differentiation and their use in comparative statics, comparative static analysis of general function models, Optimization: A special variety of equilibrium analysis, Exponential and logarithmic functions, the case of more than one choice variable, optimization with equality constraints |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Mathmatical economics, non-mathmatical economics, and econometrics | | | Week 2 | Economic models, elements of a mathmatical model, and reel number system | | | Week 3 | Set concept, relations and functions, types of functions, multi-variable functions | | | Week 4 | Equlibrium analysis in economics, partial market equlibrium, national income equlibrium | | | Week 5 | Linear models and matrix algebra | | | Week 6 | Matrix operations, deriving the inverse matrix | | | Week 7 | Cramer rule, an aplication on market national income models, Leontief input-output analysis | | | Week 8 | Comperative stationaryties, differentiation speed and derivatives, slope and derivatives | | | Week 9 | Mid-term exam | | | Week 10 | Limit concept and solving the limit problems, limit teorems | | | Week 11 | Limit concept and solving the limit problems, limit teorems | | | Week 12 | Derivation rules in a univariate function, chain rue, inverse function rule | | | Week 13 | Partial derivation and its economic applications | | | Week 14 | Optimization problems, optimum values and extreme values | | | Week 15 | Using the first derivation to find the optimum values | | | Week 16 | End-of-term exam | | | |
| 1 | Chiang, Alpha C., 2003; Matematiksel İktisadın Temel Yöntemleri, Gazi Kitapevi, Ankara. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 11/2024 | 1 | 30 | | Homework/Assignment/Term-paper | 12 | 12/2024 | 1 | 20 | | End-of-term exam | 16 | 01/2025 | 1 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 8 | 14 | 112 | | Arasınav için hazırlık | 12 | 2 | 24 | | Arasınav | 2 | 1 | 2 | | Ödev | 3 | 2 | 6 | | Kısa sınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 12 | 3 | 36 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 225 |
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