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| IMMT303 | Analytic Geometry | 3+0+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT OF MATHEMATICS AND SCIENCE TEACHING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face, Practical | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | -- | | Co-Lecturer | Prof. Dr. Adnan BAKİ | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To understand the concepts of point, vectors,and lines in 2-D plane. To understand the concepts of point, vectors. To draw related figures in both 2-D and 3-D. To solve analytic geometry problems. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | explain the relation with a point and a line in analytical geometry.
| 1,2,3,10 | 1,3 | | LO - 2 : | explain vectors in a plane.
| 1,2 | 1,3 | | LO - 3 : | draw line and related figures in plane and 3-D
| 1,2 | 1,3 | | LO - 4 : | solve problems related lines in plane and 3-D
| 1,2 | 1,3 | | 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 | | |
| Coordinates systems for plane and space, point and line relation in analytical geometry, the vectors on a plane, vectors in the space, linear and basic problems, lines on a plane and in 3-D space. Basic problems related to these concepts.
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Coordinates systems on a plane; cartesian coordinate system, parallel coordinate system, polar coordinate system. | | | Week 2 | Symmetric points on a plane, points' symmetry according to axises. | | | Week 3 | Coordinates systems in space;cartesian coordinate system, cylindric coordinat system, spherical coordinat system, polar coordinate system. | | | Week 4 | Problem solving exercises about coordinates systems on a plane and in space. | | | Week 5 | Vectors in plane | | | Week 6 | Basic operations on vectors | | | Week 7 | Product of number and vector, dot product
| | | Week 8 | Cosinus Theorem | | | Week 9 | Linear independence, vector base | | | Week 10 | Vectors in 3-D space | | | Week 11 | Vectoral product, Mixed product
| | | Week 12 | Lines in plane | | | Week 13 | Cartesian equation of line, distance between point and line
| | | Week 14 | Paralelism and perpentecularity of two lines, angle between two lines. | | | Week 15 | Plane in 3-D, distance between point and plane | | | Week 16 | End-of-term exam | | | |
| 1 | Balcı, M. (2012). Analitik Geometri. Sürat Üniversite Yayınları. İstanbul | | | 2 | Karakaş, B. ve Baydaş, Ş. (2008). Analitik Geometri. Palme Yayıncılık Ankara | | | |
| 1 | Baki, A. (2008). Kuramdan Uygulamaya Matematik Öğretimi. Harf Yayınları. Ankara | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | End-of-term exam | 16 | 08/01/2014 | | 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 | 3 | 14 | 42 | | Arasınav için hazırlık | 3 | 6 | 18 | | Arasınav | 2 | 1 | 2 | | Ödev | 4 | 3 | 12 | | Dönem sonu sınavı için hazırlık | 4 | 6 | 24 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 100 |
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