| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT40720121310 | VECTORAL ANALYSIS | Elective | 4 | 7 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Give detailed information on issues related to vector analysis. |
| Name of Lecturer(s) |
| Dr. Fatih Say |
| Learning Outcomes |
| 1 | Students will develop the right thinking and the ability to comment | | 2 | students will gain basic knowledge about mathematics. |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Derivative on vectors, continuity and differentiability, partial derivative, operators, gradient, diveryans and rotation, the integral vector functions, line integrals, surface and volume integrals, curvilinear coordinates, coordinate transformations, special orthogonal coordinate systems. |
| Weekly Detailed Course Contents |
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| 1 | Derivative on vectors | | | | 2 | Continuity and differentiability | | | | 3 | Partial derivative, operators | | | | 4 | Gradient, diveryans and rotation | | | | 5 | The integral vector functions | | | | 6 | The integral vector functions | | | | 7 | Line integrals | | | | 8 | Midterm exam | | | | 9 | Surface and volume integrals | | | | 10 | Surface and volume integrals | | | | 11 | Curvilinear coordinates | | | | 12 | Coordinate transformations | | | | 13 | Special orthogonal coordinate systems | | | | 14 | Hamel base, convex and circular clusters, | | | | 15 | Ortogonal ve Orthonormal systems | | | | 16 | Final Exam | | |
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| Recommended or Required Reading |
| Vektörel Analiz ve Tensör Analizine giriş, Murray R. Spiegel.
Additional textbook: Vectorel Calculus, M Kemal Sağel |
| 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 |
| Makeup Examination | 1 | 2 | 2 |
| Attending Lectures | 10 | 3 | 30 |
| Report Presentation | 1 | 1 | 1 |
| Individual Study for Homework Problems | 2 | 8 | 16 |
| Individual Study for Mid term Examination | 8 | 5 | 40 |
| Individual Study for Final Examination | 10 | 6 | 60 |
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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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