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Description of Individual Course UnitsCourse Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 180103002100 | ENGINEERING MATHEMATICS | Compulsory | 1 | 2 | 5 |
| Level of Course Unit | First Cycle | Objectives of the Course | The aim of this course is to explain some basic concepts of Mathematics and show how to use these concepts in solving certain types of problems which might possibly be encountered in many branches of science and engineering. | Name of Lecturer(s) | Doç. Dr. Züleyha REÇBER | Learning Outcomes | 1 | A student defines some mathematical concepts which are essential in his/her field | 2 | Interprets the relations between mathematical concepts | 3 | Apply mathematical relationships to solve problems. |
| Mode of Delivery | Daytime Class | Prerequisites and co-requisities | | Recommended Optional Programme Components | | Course Contents | Matrix and determinant operations, Solution of linear equation systems with matrix determinant approaches (Gauss, Gauss-Jordan, Cramer, inverse matrix), vectors, vector operations, scalar and vector products of vectors, orthogonal-orthonormal vectors, linear transformations, eigenvalues and eigenvectors of square matrix, the effect of eigenvalues - eigenvectors on linear system behavior, Algebra of complex numbers, polar representation of complex numbers, derivative of complex functions, analytic functions, Cauchy-Riemann equations,power series, Cauchy integral theorem,Cauchy integral formula, Taylor expansion, Laurent expansion, Residues, residual theorems. Generalized integrals. | Weekly Detailed Course Contents | |
1 | Matrix and determinant operations | | | 2 | Solution of linear equation systems with matrix determinant approaches (Gauss, Gauss-Jordan, Cramer, inverse matrix) | | | 3 | Vectors, vector operations, scalar and vector products of vectors | | | 4 | Orthogonal-orthonormal vectors | | | 5 | Linear transformations | | | 6 | Eigenvalues and eigenvectors of square matrix | | | 7 | The effect of eigenvalues - eigenvectors on linear system behavior | | | 8 | Mid-Term Exam | | | 9 | Algebra of complex numbers, polar representation of complex numbers | | | 10 | Derivative of complex functions | | | 11 | Analytic functions, Cauchy-Riemann equations,power series | | | 12 | Cauchy integral theorem,Cauchy integral formula | | | 13 | Taylor expansion, Laurent expansion | | | 14 | Residues, residual theorems. Generalized integrals | | | 15 | Final Exam | | |
| Recommended or Required Reading | 1-Dursun Taşçı,Lineer Cebir 2- Aşkın Demirkol, Mühendisler İçin Lineer Sistemler Lineer Cebir - I , Sakarya Kitabevi, 2011. 3- Complex Variables and Their Applications, Addison Wesley, Anthony D. Osborne, 1999. 4- Introduction to Complex Variables and Applications, R.V. Churchill, McGraw-Hill, New York, 1996 | Planned Learning Activities and Teaching Methods | | Assessment Methods and Criteria | |
Midterm Examination | 2 | 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 | | Work Placement(s) | |
| Workload Calculation | |
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 | 30 | 30 | Individual Study for Final Examination | 1 | 40 | 40 | |
Contribution of Learning Outcomes to Programme Outcomes | LO1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | LO2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | LO3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| * 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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