Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT1042011131 | LİNEAR ALGEBRA -II | Compulsory | 1 | 2 | 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 Çiftçi |
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 |
Matrices and linear transformations. Elementary operations, elementary operations of parallel row vectors of matrices , rank and inverse of a matrix. The concept of permutation. Determinant function, rank of determinant of a matrix, the determinant of a linear transformation. Systems of linear equations. The three-dimensional space vector multiplication, properties of vector multiplication, Vectorial product, mixed product and its applications. The characteristic polynomial of a matrix. Dual space, dual basis, dual of dual of a space, features of dual space. |
Weekly Detailed Course Contents |
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1 | Matrices and linear transformations
| | | 2 | Elementary operations
| | | 3 | Elementary operations of parallel row vectors of matrices
| | | 4 | Rank and inverse of a matrix.
| | | 5 | The concept of permutation
| | | 6 | Determinant function
| | | 7 | Rank of determinant of a matrix
| | | 8 | Midterm exam
| | | 9 | The determinant of a linear transformation
| | | 10 | Systems of linear equations
| | | 11 | The three-dimensional space vector multiplication, properties of vector multiplication
| | | 12 | Mixed product and its applications
| | | 13 | The characteristic polynomial of a matrix
| | | 14 | Dual space, dual basis
| | | 15 | Dual of dual of a space, features of dual space
| | | 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 | 10 | 10 |
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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