| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| ECO2011 | Linear Models in Economics | Fall | 3 | 0 | 3 | 6 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Hybrid |
| Course Coordinator : | Assoc. Prof. KAAN İRFAN ÖĞÜT |
| Course Lecturer(s): |
Assoc. Prof. KAAN İRFAN ÖĞÜT |
| Course Objectives: | This course aims to extend students’ knowledge and skills in linear and matrix algebra and to teach them how to use this techniques in economics. |
|
The students who have succeeded in this course; 1. Students will acquire basic knowledge in matrix algebra 2. Students will be able to understand how matrix algebra is used in economics 3. Students will be able to define systems of linear equations. 4. Students will be able to solve the simultaneous equation systems 5. Students will be able to use matrix algebra to analyze closed and open macroeconomic models. 6. Students will be able to combine concepts of probability and matrix in framework of Markov’s Chains 7. Students will be able to find Eigenvalues and Eigenvectors and use them in differential equations. |
| Systems of Linear Equations Matrices, Determinants and Systems of Linear Equations Jacobian Matrix, Static Mundell-Fleming Models in Macroeconomics Vectors and Matrices Linear Transformations and Inner Product Spaces The Leontief Input-Output Model in Economics Markov Chains Eigenvalues and Eigenvectors Linear Programming: Graphical and Simplex Method. |
| Week | Subject | Related Preparation | |
| 1) | Vectors and Vector Spaces | . | |
| 2) | Matrices and Matrix Operations | . | |
| 3) | Determinants and Systems of Linear Equations | . | |
| 4) | Jacobian Matrix and Static Mundell-Fleming Models in Macroeconomics | . | |
| 5) | Leontief Input-Output Model in Economics | . | |
| 6) | Markov Chains | . | |
| 7) | Midterm Exam | . | |
| 8) | Eigenvalues and Eigenvectors | . | |
| 9) | Solving Systems of Linear Differential Equations with Eigenvalues and Eigenvectors | . | |
| 10) | Introduction to Dynamic Linear Simultaneous Differential Equation Systems and Dynamic IS-LM Model in Macroeconomics | . | |
| 11) | Linear Transformations | . | |
| 12) | Euclidean Spaces | . | |
| 13) | Inner Product Spaces | . | |
| 14) | LU Decomposition | . | |
| 15) | Linear Programming: Graphical and Simplex Method | . | |
| 16) | Final Exam | . | |
| Course Notes: | Finite Mathematics, Barnett, R., Ziegler, M., Byleen, K., Pearson, 2010 Linear Algebra With Applications, G. Williams, Jones and Barlett Publishers, 4th Edition 2001 |
| References: | Linear Algebra With Applications, G. Williams, Jones and Barlett Publishers, 4th Edition 2001 |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | 0 | % 0 |
| Laboratory | 0 | % 0 |
| Application | 0 | % 0 |
| Field Work | 0 | % 0 |
| Special Course Internship (Work Placement) | 0 | % 0 |
| Quizzes | 4 | % 20 |
| Homework Assignments | 4 | % 20 |
| Presentation | 0 | % 0 |
| Project | 0 | % 0 |
| Seminar | 0 | % 0 |
| Midterms | 1 | % 25 |
| Preliminary Jury | 0 | % 0 |
| Final | 1 | % 35 |
| Paper Submission | 0 | % 0 |
| Jury | 0 | % 0 |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 65 | |
| PERCENTAGE OF FINAL WORK | % 35 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 1 | 14 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 4 | 2 | 8 |
| Quizzes | 4 | 3 | 12 |
| Preliminary Jury | 0 | 0 | 0 |
| Midterms | 1 | 10 | 10 |
| Paper Submission | 0 | 0 | 0 |
| Jury | 0 | 0 | 0 |
| Final | 1 | 10 | 10 |
| Total Workload | 96 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |