Course Unit Code | Course Unit Title | Type of Course | Year | Semester | ECTS |

IMÖ303 | Analytical Geometry-I | 927001 | 3 | 5 | 5 |

Level of Course Unit

First Cycle

Objectives 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.

Name of Lecturer(s)

Doç. Dr. Mustafa BİLİCİ

Learning Outcomes

- Student can define concepts of point and line in plane analytic geometry and relations between them.
- Student can explain relations between different coordinate systems and do practices in different coordinate systems transitively.
- Student can define vectors in a plane and practice planar rotational transformations.
- Student can define vectors, concepts of point, line and plane in three-dimensional space.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Recommended or Required Reading

[1] Analitik Geometri, Prof.Dr. Rustem Kaya,[1] Analitik Geometri Prof.Dr. A.Sabuncuoğlu[2] 2 ve 3 boyutlu uzaylarda analitik geometri, Prof.Dr.H.H.Hacısalihoğlu[3] Uzay Analitik Geometri, Prof. Dr.İbrahim Sezginman, Prof.Dr.Muzaffer Abacı

Planned Learning Activities and Teaching Methods

Language of Instruction

Turkish

Work Placement(s)

None

Course Contents

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.

Weekly Detailed Course Contents

Week | Theoretical | Practice | Laboratory |

1. | Coordinates systems on a plane; cartesian coordinate system, parallel coordinate system, polar coordinate system. | ||

2. | Symmetric points on a plane, points' symmetry according to axises. | ||

3. | Coordinates systems in space;cartesian coordinate system, cylindric coordinat system, spherical coordinat system, polar coordinate system. | ||

4. | Problem solving exercises about coordinates systems on a plane and in space. | ||

5. | Vectors in plane | ||

6. | Basic operations on vectors | ||

7. | Product of number and vector, dot product | ||

8. | Cosinus Theorem | ||

9. | Linear independence, vector base | ||

10. | Vectors in 3-D space | ||

11. | Vectoral product, Mixed product | ||

12. | Lines in plane | ||

13. | Cartesian equation of line, distance between point and line | ||

14. | Paralelism and perpentecularity of two lines, angle between two lines. |

Assessment Methods and Criteria

Term (or Year) Learning Activities | Quantity | Weight (%) |

Midterm Examination | 1 | 100 |

SUM | 100 | |

End Of Term (or Year) Learning Activities | Quantity | Weight (%) |

Final Examination | 1 | 100 |

SUM | 100 | |

Term (or Year) Learning Activities | 40 | |

End Of Term (or Year) Learning Activities | 60 | |

SUM | 100 |

Workload Calculation

Activities | Quantity | Time(hours) | Total Workload(hours) |

Midterm Examination | 1 | 2 | 2 |

Final Examination | 1 | 3 | 3 |

Attending Lectures | 14 | 5 | 70 |

Tutorial | 10 | 5 | 50 |

SUM | 125 |