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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 | 170300401202 | ANALYTIC GEOMETRY II | Compulsory | 1 | 2 | 6 |
| Level of Course Unit | First Cycle | Objectives of the Course | To provide the basic concepts related to analytical geometry and to use these subjects in other subjects, especially in geometry courses. | Name of Lecturer(s) | Prof.Dr. Elman HAZAR, Yrd. Doç.Dr. Lokman BİLEN, Yrd. Doç.Dr. Gökçe Dilek KÜÇÜK, Yrd. Doç.Dr. Alkan ÖZKAN | Learning Outcomes | 1 | Düzlem ve uzay analitik geometriyi ayırt eder
| 2 | Konikler hakkında detaylı bilgileri kullanır
| 3 | Konikleri sınıflandırır ve genelleştirir
| 4 | Doğru, çember, elips v.s. eğrilerini nokta koordinatlarıyla ifade eder
| 5 | Parabol, elips, hiperbol, çember ve koniklerin teğetlerini hesaplar
| 6 | Hemodak koniklerde köşeleri, köşegenleri hesaplar
| 7 | Uzayda eğrileri, dairesel helis ve küre üzerinde helisi yorumlar
| 8 | Yuvarlanma eğrilerini, elipsoid, hiperboloid ve regle yüzeyleri sınıflandırır
| 9 | Kuadratik formları ve kuadratik yüzeyleri tartışır |
| Mode of Delivery | Daytime Class | Prerequisites and co-requisities | None | Recommended Optional Programme Components | None | Course Contents | General quadratic equations in the plane, parallel displacement of axes, rotation of axes, elements of conics, second order surfaces. | Weekly Detailed Course Contents | |
1 | Conics, point coordinates, circle
| | | 2 | Ellipse, Hyperbola, Parabolic and Parametric Equations
| | | 3 | Accurate coordinates, linear coordinate equations.
| | | 4 | Point-to-true duality, linear dependence, duality in space.
| | | 5 | Parabol, ellipse, hyperbola, circles, tangents in conics.
| | | 6 | Linear equations of tangent, ellipse and parabola in ellipses and hyperbola
| | | 7 | The same focused conics, hemodak parabola, conic corner and diagonal.
| | | 8 | Midterm
| | | 9 | General second order equations, conical bundles, center, diagonal, asymptote
| | | 10 | Elements of conics, conics, focus and straightening
| | | 11 | Curves in space, circular helix, helical on cone.
| | | 12 | Rolling curves, back curve, cardioid.
| | | 13 | Cassini oval, Lemniskat, sphere and cylinder surface, Cone, rotational surfaces, tor surface
| | | 14 | Quadratic forms, and quadratic surfaces | | |
| Recommended or Required Reading | [1]Prof. Dr. H. Hilmi HACISALİHOĞLU,"2 ve 3 Boyutlu uzaylarda Analitik Geometri", altıncı baskı, Ankara, 2003.
[2]Prof. Dr. Rüstem Kaya," Analitik Geometri", beşinci baskı, Eskişehir, 2003.
[3]Prof.Dr.Arif SABUNCUOĞLU, "analitik Geometri" Nobel Yay. 5. Baskı,2009 | Planned Learning Activities and Teaching Methods | | 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 |
| Workload Calculation | |
Midterm Examination | 1 | 1 | 1 | Final Examination | 1 | 2 | 2 | Makeup Examination | 1 | 2 | 2 | Attending Lectures | 5 | 6 | 30 | Problem Solving | 5 | 6 | 30 | Individual Study for Homework Problems | 5 | 6 | 30 | Individual Study for Mid term Examination | 1 | 30 | 30 | Individual Study for Final Examination | 1 | 30 | 30 | Homework | 5 | 5 | 25 | |
Contribution of Learning Outcomes to Programme Outcomes | LO1 | 4 | 2 | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 1 | LO2 | 1 | 1 | 1 | 1 | 3 | 3 | 4 | 4 | 4 | 4 | LO3 | 3 | 4 | 2 | 1 | 3 | 3 | 4 | 4 | 4 | 4 | LO4 | 1 | 1 | 5 | 4 | 4 | 3 | 4 | 4 | 4 | 4 | LO5 | 2 | 1 | 2 | 2 | 3 | 4 | 4 | 4 | 4 | 4 | LO6 | 2 | 1 | 1 | 4 | 3 | 4 | 4 | 4 | 4 | 4 | LO7 | 1 | 1 | 5 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | LO8 | 1 | 2 | 4 | 3 | 4 | 3 | 4 | 4 | 4 | 3 | LO9 | 1 | 3 | 3 | 3 | 3 | 2 | 4 | 4 | 4 | 3 |
| * 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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