| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | 190105004103 | BASIC LINEAR ALGEBRA | Compulsory | 2 | 4 | 4 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| This course aims to explain some basic concepts of mathematics and show how to use these concepts in solving certain types of problems that might be encountered in many branches of science. |
| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Fesih Keskin |
| Learning Outcomes |
| 1 | A student defines some mathematical concepts which are essential in his/her field, | | 2 | gains the skill of interpreting some interrelations among these concepts, | | 3 | uses mathematical concepts in solving certain types of problems. |
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| Mode of Delivery |
| Daytime Class |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Systems of Linear Equations,
Matrices,
Determinants,
Vector Spaces,
Linear Transformations,
Matrix Representations of Linear Transformations,
Inner Product Space,
Eigenvalues and Eigenvectors. |
| Weekly Detailed Course Contents |
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| 1 | Systems of Linear Equations, Matrices | | | | 2 | Matrix Multiplication, Algebraic Properties of Matrix Operations, Special Types of Matrices | | | | 3 | Echelon Form of a Matrix, Solving Linear Systems | | | | 4 | Elementary Matrices, Finding inverse of a matrix | | | | 5 | Determinants | | | | 6 | Vector Spaces, Subspaces | | | | 7 | Span and Linear Independence | | | | 8 | Midterm exam | | | | 9 | Basis and Dimension | | | | 10 | Inner Product Spaces and Gram-Schmidt Process | | | | 11 | Linear Transformations, Kernel and Range of Linear Transformations | | | | 12 | Matrix of a Linear Transformation | | | | 13 | Eigenvalues and Eigenvectors | | | | 14 | Final exam | | |
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| Recommended or Required Reading |
| B. Kolman, D. Hill, Elementary Linear Algebra with Applications, Ninth edition, 2008, Pearson.
S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Sixth Edition, 2017, McGraw Hill. |
| 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) | | None |
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| Workload Calculation |
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| Attending Lectures | 14 | 3 | 42 |
| Self Study | 14 | 4 | 56 |
| Individual Study for Mid term Examination | 1 | 10 | 10 |
| Individual Study for Final Examination | 1 | 12 | 12 |
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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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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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