Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | IMO2032013331 | LINEAR ALGEBRA I | Compulsory | 2 | 3 | 6 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
To teach the basic parts of linear algebra including vectors, vector spaces, linear equation systems and linear maps. |
Name of Lecturer(s) |
Yrd. Doç. Dr. Tolga AKTÜRK |
Learning Outcomes |
1 | Learns the operations of addition, scalar multiplication and inner product in vectors of R^n. | 2 | Makes applications on basic matrix operations, finds the inverses of matrices and learns the elematary row operations. | 3 | Investigates the solutions of linear equation systems. | 4 | Explains the concepts of vector space, subspace, linear independence and base, solves the related problems. | 5 | Learns the concept of linear map, explains the relation between linear maps and matrices |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Vectors in R^2 and R^3, Matrices, Additon and scalar multiplication in matrices, Matrix product, inverses of matrices and applications, Linear equation systems, Gauss elimination method, Vector spaces, Subspaces, Linear independence, basis and dimension, Linear maps, Linear maps and matrices. |
Weekly Detailed Course Contents |
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1 | Vectors in R^n | | | 2 | Matrices, matrix operations | | | 3 | Elementary row operations | | | 4 | Inverses of matrices and applications | | | 5 | Linear equation systems | | | 6 | Gauss and Gauss-Jordan elimination methods | | | 7 | Vector spaces | | | 8 | Midterm exam | | | 9 | Subspaces, sums and direct sums | | | 10 | Linear combination, linear independence | | | 11 | Base and dimension | | | 12 | Rank of a matrix | | | 13 | Linear maps | | | 14 | Linear maps and matrices | | | 15 | Linear maps and matrices | | | 16 | Final exam | | |
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Recommended or Required Reading |
1) Arif Sabuncuoğlu, (2011). Lineer cebir, Nobel Yayın Dağıtım, Ankara.
2) Lipschutz, B. S. and Lipson, M. 2001, Theory and problems of Linear Algebra, Schaum's outline series. |
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) | None |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Problem Solving | 14 | 3 | 42 |
Individual Study for Homework Problems | 14 | 3 | 42 |
Individual Study for Mid term Examination | 1 | 25 | 25 |
Individual Study for Final Examination | 1 | 25 | 25 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 3 | 1 | 3 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | | LO2 | 3 | 1 | 3 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | | LO3 | 3 | 1 | 3 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | | LO4 | 3 | 1 | 3 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | | LO5 | 3 | 1 | 3 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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