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| MAT1002 | Analytic Geometry | 4+0+0 | ECTS:5 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Prof. Dr. Ömer PEKŞEN | | Co-Lecturer | Prof. Dr. Yasemin SAĞIROĞLU | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | By introducing fundamental concepts of plane and space analytic geometry, this course prepares students fort he contents of analysis. For this reasons; the course aims to provide the students to realize two and three dimensional spaces, the concept of vector, some geometric figures and their graphics as well as intersections and projections |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | familiar with the concepts of the plane and the space analytic geometry | 1 - 2 - 6 - 7 | 1, | | LO - 2 : | realize two and three dimensional spaces | 1 - 2 - 6 - 7 | 1, | | LO - 3 : | understand and draw the graphics of some geometric figures | 1 - 2 - 6 - 7 | 1, | | LO - 4 : | realize the intersections and projections of gometric figures | 1 - 2 - 6 - 7 | 1, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Cartesian coordinates in plane and space; Vectors in plane and space; Straight lines in the plane; Straight lines and planes in 3-dimensional space; Relations between point-line, point-plane, line-plane and plane-plane; Rotations and translations in plane; Basic notions about conics; General quadric equations in the plane and their canonic forms and graphics; Polar, cylindrical and spherical coordinates; Special surfaces in space: Cylinders, Rotational surfaces, Quadric surfaces. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Cartesian coordinates in plane and space | | | Week 2 | Vectors in plane and space | | | Week 3 | Straight lines in the plane | | | Week 4 | Straight lines and planes in three dimensional space | | | Week 5 | Relations between point-line and point-plane | | | Week 6 | Relations between line-plane and plane-plane | | | Week 7 | Rotations and translations in plane | | | Week 8 | Basic notions about conics | | | Week 9 | Mid-term exam | | | Week 10 | Basic notions about conics | | | Week 11 | General quadric equations in the plane and their canonic forms and graphics | | | Week 12 | Polar, cylindrical and spherical coordinates | | | Week 13 | Special surfaces in space: Cylinders, Rotational surfaces | | | Week 14 | Quadric surfaces | | | Week 15 | Quadric surfaces | | | Week 16 | End-of-term exam | | | |
| 1 | Hacısalihoğlu, H.H., 2- ve 3-Boyutlu Uzaylarda Analitik Geometri, 1995, Ankara | | | |
| 1 | Kindle, J.H., (Çev. Kaya, A.) Düzlem ve Uzay Analitik Geometri, 1987, E.Ü. Fen Fak. Yayınları, İzmir | | | 2 | Thomas, G.B., Finney, R.L., (Çev. Korkmaz, R.), Calculus ve Analitik Geometri, cilt 2, 2001, Betaş Yayınları, İstanbul. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 16/04/2024 | 2 | 30 | | Quiz | 5
12 | 19.03.2024
07.05.2024 | 30
30 | 20 | | End-of-term exam | 16 | 05/06/2024 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 6.5 | 14 | 91 | | Arasınav için hazırlık | 10 | 1 | 10 | | Arasınav | 2 | 1 | 2 | | Kısa sınav | 2 | 2 | 4 | | Dönem sonu sınavı için hazırlık | 15 | 1 | 15 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 180 |
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