CANKIRI KARATEKIN UNIVERSITY

Bologna Information System

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

ANALYTIC GEOMETRY II | MAT106 | SPRING | 3+0 | Fac./ Uni. | C | 4 |

Learning Outcomes | 1-To be able to explain concepts of line and plane in space 2-To be able to classify surfaces and its types 3-To be able to use geometric transformations in space 4-To be able to classify second degree surfaces |

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

Course Duration (Weeks x Course Hours) | 14 | 3 | 42 | |

Classroom study (Pre-study, practice) | 14 | 3 | 42 | |

Assignments | 10 | 2 | 4 | 8 |

Short-Term Exams (exam + preparation) | 10 | 2 | 4 | 8 |

Midterm exams (exam + preparation) | 30 | 1 | 6 | 6 |

Project | 0 | 0 | 0 | 0 |

Laboratory | 0 | 0 | 0 | 0 |

Final exam (exam + preparation) | 50 | 1 | 8 | 8 |

Other | 0 | 0 | 0 | 0 |

Total Workload (hours) | 114 | |||

Total Workload (hours) / 30 (s) | 3,8 ---- (4) | |||

ECTS Credit | 4 |

Week | Topics | Study Metarials |

1 | Line in space | |

2 | Plane in space | |

3 | The distance of a point to a line and a plane, symetry in space | |

4 | Shperical and cylindrical coordinates in space | |

5 | The definition of a surface and its examples | |

6 | Sphere surface | |

7 | Cylinder and cone surfaces | |

8 | Surfaces of revolution | |

9 | Regle surfaces | |

10 | Translation and rotation in space | |

11 | Second degree algebraic surfaces and canonical forms | |

12 | The reduction of second degree algebraic surfaces to their canonical forms | |

13 | Examples related to the reduction to canonical forms | |

14 | An introduction to an n-dimensional geometry |

Prerequisites | - |

Language of Instruction | Turkish |

Course Coordinator | Assist. Prof. Dr. Süleyman CENGİZ |

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

Document | - |

Goals | To introduce the basics of space geometry and to classify surfaces |

Content | Line in space; Plane in space; The distance of a point to a line and a plane, symetry in space; Shperical and cylindrical coordinates in space; The definition of a surface and its examples; Sphere surface; Cylinder and cone surfaces; Surfaces of revolution; Regle surfaces; Translatin and rotation in space; Second degree algebraic surfaces and canonical forms; The reduction of second degree algebraic surfaces to their canonical forms; An introduction to an n-dimensional geometry |

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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