Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT1032011131 | LİNEAR ALGEBRA -I | Compulsory | 1 | 1 | 5 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
To develop the ability to think and to interpret correctly and to give people basic information about mathematics. |
Name of Lecturer(s) |
Dr. Canan Ciftci |
Learning Outcomes |
1 | Students who successfully complete this course will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics. |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
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Recommended Optional Programme Components |
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Course Contents |
The concept of vector space. Vectors in the plane. Vectors in the space. Sub-vector space. Linear dependence and linear independence of a vector. Properties of vector space bases. Dimensions of the sub-spaces. Direct sum, total space and intersection space. Inner product, inner product spaces, orthonormal vector systems, Gram-Schmidt method, subspaces of spaces with inner product, orthogonal complement. Linear transformations, kernel and rank of a linear transformation. Matrices and matrix spaces. |
Weekly Detailed Course Contents |
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1 | The concept of vector space
| | | 2 | Vectors in the plane
| | | 3 | Vectors in the space
| | | 4 | Sub-vector space
| | | 5 | Linear dependence and linear independence of a vector
| | | 6 | Properties of vector space bases
| | | 7 | Dimensions of the sub-spaces
| | | 8 | Midterm exam
| | | 9 | Direct sum, total space and intersection space
| | | 10 | Inner product, inner product spaces, orthonormal vector systems
| | | 11 | Gram-Schmidt method
| | | 12 | Subspaces of spaces with inner product, orthogonal complement
| | | 13 | Linear transformations
| | | 14 | Kernel and rank of a linear transformation
| | | 15 | Martices and matrix spaces | | | 16 | Final exam | | |
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Recommended or Required Reading |
1.Schaum’s outlıne series Theory and problems LINEAR ALGEBRA
2.Linear Algebra. Hofman KUNZE.
3.Linear Algebra with application, Bernard Kolman, David R. Hill.
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Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 4 | 56 |
Self Study | 14 | 3 | 42 |
Individual Study for Homework Problems | 14 | 2 | 28 |
Individual Study for Mid term Examination | 1 | 2 | 2 |
Individual Study for Final Examination | 1 | 13 | 13 |
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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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