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Information
| Code | INMZ112 |
| Name | Analytical geometry |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN RIZKULLAH YERLİ |
| Course Instructor |
1 |
Course Goal / Objective
The aim of this course is to give basic concepts and theorems of Analytic Geometry.
Course Content
Vectors and basic operations, dot product, cross product, mixed product, lines and planes in space, relationship between line and plane, circle, ellipse, hyperbola, parabola, translation and rotation of a point in the plane
Course Precondition
None
Resources
Analitik Geometri, Prof. Dr. Mustafa Balcı, Balcı Yayınları, 2007.
Notes
1. Analitik Geometri,Prof.Dr.H.H.Hilmihacısalihoğlu,Ankara Üniv.Fen Fak.Yayınları,1998. 2. Analitik Geometri,Prf.Dr.Rüstem Kaya,Anadolu Üniv.Fen.Fak.Yayınları,1985.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To have knowledge about vectors and operations on vectors |
| LO02 | Understanding the scalar product of two vectors and their properties |
| LO03 | Learning and practicing about cross product of two vectors and mixed product in space. |
| LO04 | Learning the concepts of lines and planes in space |
| LO05 | Being able to determine relationship between line and plane in space |
| LO06 | To have knowledge about circle, ellipse, hyperbola and parabola |
| LO07 | Ability to perform translation and rotation operations of a given point in the plane |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has the basic knowledge of math, science and civil engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has a good commman of basic concepts, theories and principles in civil engineering. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Selects and uses the modern techniques and tools necessary for engineering practice | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Gains the abiltiy to work effectively as a member in interdisciplinary teams | 2 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Identifies proper sources of information and databases, reaches them and uses them efficiently. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Uses the computers and information technologies related with civil engineering actively. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Gains the ability to communicate effectively both orally and in writing. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Communicates using technical drawing | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Has an awareness of professional and ethical responsibility | |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Vectors, basic operations on vectors | Lecture notes | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Multiplication in vectors; dot product, cross product, mixed product | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Calculations of area and volume | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Equations of lines in space (R^3) | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Projection and symmetry | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Equation of a plane in space (R^3), projection and symmetry in a plane | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Relationship between line and plane in space | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav, Ödev |
| 9 | Relationship between two plane in space | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Circle and its properties | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 11 | Ellipse and its properties | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Hyperbole and its properties | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Parabola and its properties | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | Translation of points in the plane | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | Rotation of points in the plane | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 16 | Term Exams | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 13 | 2 | 26 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 14 | 14 |
| Total Workload (Hour) | 80 | ||
| Total Workload / 25 (h) | 3,20 | ||
| ECTS | 3 ECTS | ||