INMZ112 Analytical geometry

3 ECTS - 2-0 Duration (T+A)- 2. Semester- 2 National Credit

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

Update Time: 21.05.2024 05:44