| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | AE-MT203 | Linear Algebra 1 | Compulsory | 2 | 3 | 3 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| To introduce mathematical structures and operations and to gain the ability to apply them; comprehend basic concepts such as vector, vector space, matrix, matrix space, linear transformation; gain the ability to use and apply the mathematical knowledge learned |
| Name of Lecturer(s) |
| Doç.Dr. Tuba AĞIRMAN AYDIN |
| Learning Outcomes |
| 1 | 1. Knows the basic concepts of matrix algebra and can apply basic operations defined on matrices.
2. Understand and apply the solution methods of systems of linear equations.
3. Understand the basic concepts of vector spaces and prove the basic properties of these concepts.
4. explain the concepts of linear independence, basis and dimension
5. can understand the basic concepts of linear transformations and make proofs about the basic properties of these concepts.
6. understand the relationship between linear transformations and matrices |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
|
| Recommended Optional Programme Components |
| no |
| Course Contents |
| Systems of linear equations, Matrices, Algebraic properties of matrices, Homogeneous systems, LU decomposition, R ^ 2 and R ^ 3 vectors, real vector spaces, stretching and linear independence, subspaces, base and dimension, solution space, inverse of matrix, coordinate and isomorphism , transition matrices |
| Weekly Detailed Course Contents |
|
| 1 |
Matrices systems and solutions of linear equations | | | | 2 |
Matrix Operations | | | | 3 |
Algebraic properties of matrix operations | | | | 4 |
Algebraic properties of matrix operations | | | | 5 |
Inverse of matrices | | | | 6 |
Systems of linear equations and their solutions | | | | 7 |
LU decomposition | | | | 8 |
Midterm | | | | 9 |
Vectors in R ^ 2 and R ^ 3 and introduction to the concept of vector space | | | | 10 |
Subspaces | | | | 11 |
Linear independence | | | | 12 |
Base and Size | | | | 13 |
Homogeneous systems | | | | 14 |
Coordinate and isomorphism | | | | 15 |
Matrix matrices | | | | 16 |
Final exam | | |
|
| Recommended or Required Reading |
|
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | no |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 2 | 1 | 2 |
| Attending Lectures | 3 | 3 | 9 |
| Self Study | 3 | 2 | 6 |
| Individual Study for Mid term Examination | 7 | 6 | 42 |
| Individual Study for Final Examination | 5 | 6 | 30 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
 |
| |