Linear Algebra(ECON209)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| ECON209 | Linear Algebra | 3 | 3 | 0 | 0 | 3 | 3 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | French |
| Course Type | Compulsory |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Oğuzhan KAYA oguzabel@gmail.com (Email) |
| Assistant | |
| Objective | The aim of this cours is explaining essentials about linear vector spaces and matrix operations, and constructing a mathematical basement for linear algebra in economy. |
| Content | Vectors and matrix operations, linear independance of vectors and linear vector spaces, vector subspaces, dimension, basis vectors, linear transformations, determinant, application to economy, analysis of eigenvalue-eigenvectors, diagonalization. |
| Course Learning Outcomes |
Students who succeed will understand: -solving linear equation systems with different methods -obtaining induced echelon form of matrices using elementary row operations. -finding inverese of matrices. -computing determinant of matrices. -verifying linear independance of vectors. -knowing vector spaces and their subspaces. -computing eigenvalues and eigenvectors of matrices. -defining inner products. |
| Teaching and Learning Methods | In a classical way, using blackboard. |
| References | Introduction à l'algèbre linéaire, Özgür Gün, Sophie Jallais |
Theory Topics
| Week | Weekly Contents |
|---|---|
| 1 | System of Linear Equations |
| 2 | Solving System of Linear Equations |
| 3 | Solving System of Linear Equations with Gauss method |
| 4 | Vector spaces |
| 5 | Subspaces, Linear Independance |
| 6 | Basis, Dimensions |
| 7 | Linear Transformations |
| 8 | Midterm |
| 9 | Matrices |
| 10 | Determinant |
| 11 | Inverse of a matrix with Gauss method |
| 12 | Rank, Image, Kernel |
| 13 | Eigenvalues and Eigenvectors |
| 14 | Application to economy |
Practice Topics
| Week | Weekly Contents |
|---|
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 1 | 40 |
| Contribution of final exam to overall grade | 1 | 60 |
| Toplam | 2 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 1 | 40 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Toplam | 1 | 40 |
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Demonstrate a basic knowledge of different economic theories and main discussions driving current theoretical approaches | X | ||||
| 2 | Demonstrate ability to use basic qualitative and quantitative methods to asses different economic questions of applied fields | X | ||||
| 3 | Show a sound understanding of current economic discussions and problems | X | ||||
| 4 | Have an effective and clear communication in written and oral formats in different public and professional contexts. | X | ||||
| 5 | Demonstrate basic knowledge of the world economic history and a sound knowledge of the Turkish economic history | |||||
| 7 | Demonstrate knowledge of standard quantitative techniques and empirical models used in economics | |||||
| 8 | Show ability to apply basic economic theory to an applied topic | X | ||||
| 9 | Show a basic understanding of analytical methods, both theory- and model-based | X | ||||
| 10 | Show ability to use economic concepts to discuss current economic issues | X | ||||
| 11 | Reason logically and work analytically | X | ||||
| 12 | Show awareness on social aspects of the economics in different applied and theoretical fields | |||||
| 13 | Identify appropriate economic models to analyse problems | |||||
| 16 | Show understanding of basic statistical and econometric concepts and ability to apply basic concepts to own empirical work | |||||
| 17 | Demonstrate a sound knowledge of the current economic issues in Turkey and a general knowledge of the issues in the world economy | |||||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 14 | 3 | 42 |
| Working Hours out of Class | 0 | 0 | 0 |
| Assignments | 0 | 0 | 0 |
| Presentation | 0 | 0 | 0 |
| Midterm Examinations (including preparation) | 1 | 4 | 4 |
| Project | 0 | 0 | 0 |
| Laboratory | 0 | 0 | 0 |
| Other Applications | 0 | 0 | 0 |
| Final Examinations (including preparation) | 1 | 5 | 5 |
| Quiz | 0 | 0 | 0 |
| Term Paper/ Project | 0 | 0 | 0 |
| Portfolio Study | 0 | 0 | 0 |
| Reports | 0 | 0 | 0 |
| Learning Diary | 0 | 0 | 0 |
| Thesis/ Project | 0 | 0 | 0 |
| Seminar | 0 | 0 | 0 |
| Other | 0 | 0 | 0 |
| Total Workload | 51 | ||
| Total Workload / 25 | 2,04 | ||
| Credits ECTS | 2 | ||