Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 170300401402 | LINEAR ALGEBRA II | Compulsory | 2 | 4 | 5 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
The focus of this course will be on abstract vector spaces, linear operators, canonical forms, inner product spaces and bilinear forms. Students will be expected to learn the important theorems of linear algebra and understand their proofs. |
Name of Lecturer(s) |
Dr. Öğr. Üyesi Ezgi KAYA |
Learning Outcomes |
1 | To get students to comprehend main knowledges with related lineare mappings | 2 | To construction an isomorphim between linear mapping and matrices | 3 | To get students to comprehend relation between inner product and normed spaces | 4 | To learn main knowledges with related eigenvalue and eigenvectors | 5 | To get students to comprehend diagonalization of matrices and application of diagonalization of matrices |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
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Recommended Optional Programme Components |
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Course Contents |
Inner product spaces, Vector and matrix norms, Orthogonal and orthonormal vectors, Linear transformations, Linear transformations and matrices, Linear functions and dual spaces, Inverse and transposition of linear transformations, Eigenvalues and eigenvectors, Eigenvalues of some special matrices, Mimimum polynomials of a matrix and Cayley- Hamilton Theorem, Diagonalization of Matrices, Similar matrices and their properties, Some applications of diagonalization, Diagonalization of symmetric matrices |
Weekly Detailed Course Contents |
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1 | Inner products spaces | | | 2 | Norms of vector and matrices | | | 3 | Orthogonal and orthonormal vectors | | | 4 | Linear mappings | | | 5 | Linear mappings and matrices | | | 6 | Linear functionals and dual spaces | | | 7 | The inverses and transposes of linear mappings | | | 8 | Midterm | | | 9 | Eigenvalues and eigenvectors | | | 10 | The eigenvalues of some special matrices | | | 11 | The minimum polynomial of a matrix and the theorem of Cayley-Hamilton | | | 12 | The diagonalzation of matrices | | | 13 | Similar matrices and ıts properties | | | 14 | Some applications of diagonalzation | | | 15 | Final Exam | | |
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Recommended or Required Reading |
Lineer Cebir,D. Taşcı, Ankara ,2012 |
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) | |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Question-Answer | 14 | 3 | 42 |
Individual Study for Mid term Examination | 1 | 25 | 25 |
Individual Study for Final Examination | 1 | 35 | 35 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | LO2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | LO3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | LO4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | LO5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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