CANKIRI KARATEKIN UNIVERSITY

Bologna Information System

Course Title | Code | Semester | Laboratory+Practice (Hour) | Pool | Type | ECTS |

ANALYTİC GEOMETRY I | MAT105 | FALL | 2+2 | C | 6 |

Learning Outcomes | 1-To explain the relationship between a line in plane and its equation. 2-To use geometric transformations in plane. 3-To determine the image of geometric objects in the plane under affine transformations. 4-To explain properties of geometric objects do not change under affine transformations. |

Activity | Percentage (100) | Number | Time (Hours) | Total Workload (hours) |

Course Duration (Weeks x Course Hours) | 14 | 4 | 56 | |

Classroom study (Pre-study, practice) | 14 | 5 | 70 | |

Assignments | 10 | 2 | 6 | 12 |

Short-Term Exams (exam + preparation) | 10 | 2 | 6 | 12 |

Midterm exams (exam + preparation) | 30 | 1 | 14 | 14 |

Project | 0 | 0 | 0 | 0 |

Laboratory | 0 | 0 | 0 | 0 |

Final exam (exam + preparation) | 50 | 1 | 14 | 14 |

Other | 0 | 0 | 0 | 0 |

Total Workload (hours) | 178 | |||

Total Workload (hours) / 30 (s) | 5,93 ---- (6) | |||

ECTS Credit | 6 |

Week | Topics | Study Metarials |

1 | Rectangular coordinates system and polar coordinates in plane and space | |

2 | The definition of a vector and algebra of vectors | |

3 | Linear dependence, dot product, angle between two vectors | |

4 | Cross product and mixed product | |

5 | Line in plane | |

6 | Line in space | |

7 | Plane in space | |

8 | Line-space relations in space | |

9 | Relations between two planes in space | |

10 | The distance of a point to a line and a plane | |

11 | Symmetry in space | |

12 | Translation in plane | |

13 | Rotation in plane | |

14 | Rotation-translation, Translation-rotation in plane |

Prerequisites | - |

Language of Instruction | Turkish |

Course Coordinator | Assist. Prof. Dr. Celalettin KAYA |

Instructors | - |

Assistants | - |

Resources | Analitik Geometri (9. Baskı), Rüstem Kaya, Bilim Teknik Yayınevi, 2009. |

Supplementary Book | [1] Analitik Geometri (7. Baskı), Arif Sabuncuoğlu, Nobel Akademik Yayıncılık, Ankara, 2012. [2] Analitik Geometri (8. Baskı), H.Hilmi Hacısalihoğlu, Hacısalihoğlu Yayıncılık, Anakara, 2013. [3] Çözümlü Analitik Geometri Problemleri (3.Baskı), H.Hilmi Hacısalihoğlu, Ömer Tarakçı, Hacısalihoğlu Yayıncılık, Anakara, 2012. [4] Analytic Geometry, H. İbrahim Karakaş, METU Department of Mathematics, Ankara,1994. [5] Analytic Geometry (Schaum`s Outline Series in Mathematics), J. H. Kindle, McGraw-Hill, 1990. |

Document | Lecture Notes |

Goals | To introduce fundamental concepts of plane geometry and to teach the relation between algebra and geometry. |

Content | - |

Program Learning Outcomes | Level of Contribution | |

1 | To have a grasp of theoretical and applied knowledge in main fields of mathematics | 5 |

2 | To have the ability of abstract thinking | 4 |

3 | To be able to use the gained mathematical knowledge in the process of identifying the problem, analyzing and determining the solution steps | 5 |

4 | To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life | 3 |

5 | To have the qualification of studying independently in a problem or a project requiring mathematical knowledge | 2 |

6 | To be able to work compatibly and effectively in national and international groups and take responsibility | - |

7 | To be able to consider the knowledge gained from different fields of mathematics with a critical approach and have the ability to improve the knowledge | 2 |

8 | To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge | 2 |

9 | To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time | - |

10 | To be able to transfer thoughts on issues related to mathematics, proposals for solutions to the problems to the expert and non-expert shareholders written and verbally | 3 |

11 | To be able to produce projects and arrange activities with awareness of social responsibility | - |

12 | To be able to follow publications in mathematics and exchange information with colleagues by mastering a foreign language at least European Language Portfolio B1 General Level | - |

13 | To be able to make use of the necessary computer softwares (at least European Computer Driving Licence Advanced Level), information and communication technologies for mathematical problem solving, transfer of thoughts and results | - |

14 | To have the awareness of acting compatible with social, scientific, cultural and ethical values | - |

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