| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | IMO3042013331 | ANALYTICAL GEOMETRY II | Compulsory | 3 | 6 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| To teach and adopt students the theory and applications of geometry. |
| Name of Lecturer(s) |
| Yrd.Doç.Dr. Süleyman Şenyurt |
| Learning Outcomes |
| 1 | Students will grasp the theory and practice of geometry. | | 2 | | | 3 | | | 4 | | | 5 | |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| In the plane of geometric transformations, translations, rotations, reflections, general movements, affine transformations. Convert to the quadratic surface equation and conical equation in standard form. Beam surfaces. Surfaces of revolution. In the space of geometric transformations. Symmetry according to a line, according to a plane, according to a surface. Similarity and affine transformations .Homogeneous coordinates in the plane and in space. In space, spherical and cylindrical coordinate systems . |
| Weekly Detailed Course Contents |
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| 1 | Geometric transformations in the plane
| | | | 2 | Translations, rotations
| | | | 3 | Reflections
| | | | 4 | General movements
| | | | 5 | Affine transformations
| | | | 6 | Convert to the quadratic surface equation and conical equation in standard form
| | | | 7 | Beam surfaces
| | | | 8 | Midterm exam
| | | | 9 | Surfaces of revolution
| | | | 10 | In the space of geometric transformations
| | | | 11 | Symmetry according to a line
| | | | 12 | Symmetry according to a plane, according to a surface
| | | | 13 | Similarity and affine transformations
| | | | 14 | Homogeneous coordinates in the plane and in space
| | | | 15 | In space, spherical and cylindrical coordinate systems
| | | | 16 | Final exam | | |
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| Recommended or Required Reading |
| 1 H. Hilmi Hacsalihoğlu, Analitik Geometri, Ankara Üniversitesi Yayınları, 2000.
2 Gordon Fuller, Dalton Tarwater, Analytic Geometry, Addison – Wesley Publishing Company, 1992.
3 Rüstem Kaya, Analitik Geometri, Anadolu Üniversitesi Basımevi, 1992
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| 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 | 5 | 70 |
| Self Study | 14 | 3 | 42 |
| Individual Study for Homework Problems | 10 | 2 | 20 |
| Individual Study for Mid term Examination | 1 | 10 | 10 |
| Individual Study for Final Examination | 1 | 13 | 13 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 3 | 4 | 5 | 3 | 4 | 5 | 5 | 4 | 3 | 4 | 5 | 4 | 5 | 4 | 4 | 4 | | LO2 | | | | | | | | | | | | | | | | | | LO3 | | | | | | | | | | | | | | | | | | LO4 | | | | | | | | | | | | | | | | | | LO5 | | | | | | | | | | | | | | | | |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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