Linear Algebra
oguzabel@gmail.com
Content
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.
Course 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
Weekly Contents
| 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 |
Assessment System
| Activities | Number | Contribution |
|---|---|---|
| Contribution of in-term studies to overall grade | 1 | 40 |
| Contribution of final exam to overall grade | 1 | 60 |
| Total | 2 | 100 |
| Activities | 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 |
| Make-up | 0 | 0 |
| Total | 1 | 40 |
Relation of Proficiency
| 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 | |||||
ECTS
| 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 |
| Make-up | 0 | 0 | 0 |
| Yıl Sonu | 0 | 0 | 0 |
| Hazırlık Yıl Sonu | 0 | 0 | 0 |
| Hazırlık Bütünleme | 0 | 0 | 0 |
| Total Workload | 51 | ||
| Total Workload / 25 | 2.04 | ||
| Credits ECTS | 2 | ||