Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MT203B | Linear Algebra I | Compulsory | 2 | 3 | 3 |
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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 solution methods of systems of linear equations | 3 | Understand the basic concepts related to vector spaces and prove the basic properties of these concepts. | 4 | explain the concepts of linear independence, basis and dimension | 5 | understand the basic concepts of linear transformations and provide proofs of the basic properties of these concepts. | 6 | understand the relationship between linear transformations and matrices |
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Mode of Delivery |
Normal Education |
Prerequisites and co-requisities |
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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 |
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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 | | |
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Recommended or Required Reading |
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Planned Learning Activities and Teaching Methods |
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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 |
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Workload Calculation |
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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 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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