This course aims for students to describe Cartesian coordinates in the plane and space; explain vectors in the plane and space; describe lines in the plane and three-dimensional space; explain planes in three-dimensional space; explain reflections with respect to lines and planes; and describe conics.
Course Content
This course contains; Orthogonal Coordinate System in Plane and Space,Vectors in the Plane and in Space,Line Equation in Plane and Relative States of Lines,Dot and Cross Product,Lines and Planes in Space,Circle,Equation of a Circle Given Three Points,Ellipse,Parabola,Quadratic Equations,Curves in Plane and Space,Polar Coordinates in the Plane,Cylinder Surface,Linear Surfaces.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
Students explain cartesian coordinates in plane and space.
12, 9
A
Students define vector and line in plane and space.
12, 9
A
Students describe the plane in three-dimensional space.
12, 9
A
Students explain the relationships between lines and planes in three-dimensional space.
12, 9
A
Students explain conics.
12, 9
A
Teaching Methods:
12: Problem Solving Method, 9: Lecture Method
Assessment Methods:
A: Traditional Written Exam
Course Outline
Order
Subjects
Preliminary Work
1
Orthogonal Coordinate System in Plane and Space
[1], [2], [3], [4]
2
Vectors in the Plane and in Space
[1], [2], [3], [4]
3
Line Equation in Plane and Relative States of Lines
[1], [2], [3], [4]
4
Dot and Cross Product
[1], [2], [3], [4]
5
Lines and Planes in Space
[1], [2], [3], [4]
6
Circle
[1], [2], [3], [4]
7
Equation of a Circle Given Three Points
[1], [2], [3], [4]
8
Ellipse
[1], [2], [3], [4]
9
Parabola
[1], [2], [3], [4]
10
Quadratic Equations
[1], [2], [3], [4]
11
Curves in Plane and Space
[1], [2], [3], [4]
12
Polar Coordinates in the Plane
[1], [2], [3], [4]
13
Cylinder Surface
[1], [2], [3], [4]
14
Linear Surfaces
[1], [2], [3], [4]
Resources
[1] Sabuncuoğlu, A. Analitik Geometri. Nobel Akademik Yayıncılık. (Last Edition)
[2] Aslaner, R. Analitik Geometri. Nobel Akademik Yayıncılık. (Last Edition)
[3] Kaya, R. Analitik Geometri. Platform. (Last Edition)
[4] Balcı, M. Analitik Geometri. Palme Yayıncılık. (Last Edition)
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications
No
Program Qualification
Contribution Level
1
2
3
4
5
1
It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching.
It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching.
It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.
X
2
In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally.
X
3
A problem he faces professionally, he analyzes and solves it based on scientific methods.
He solves a problem he faces professionally on his own.
It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.
X
4
Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view.
X
5
In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary.
When he encounters a problem, he formulates it in writing or verbally.
He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment.
He speaks at least B1 level English to monitor international professional developments.
X
6
He knows the basic concepts of his profession.
Applies basic skills related to his profession.
It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles.
In a professional subject, it conducts research by choosing the appropriate research method.
X
Assessment Methods
Contribution Level
Absolute Evaluation
Rate of Midterm Exam to Success
40
Rate of Final Exam to Success
60
Total
100
ECTS / Workload Table
Activities
Number of
Duration(Hour)
Total Workload(Hour)
Course Hours
1
2
2
Guided Problem Solving
1
1
1
Resolution of Homework Problems and Submission as a Report
1
1
1
Term Project
0
0
0
Presentation of Project / Seminar
0
0
0
Quiz
0
0
0
Midterm Exam
0
0
0
General Exam
0
0
0
Performance Task, Maintenance Plan
0
0
0
Total Workload(Hour)
4
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(4/30)
0
ECTS of the course: 30 hours of work is counted as 1 ECTS credit.
Detail Informations of the Course
Course Description
Course
Code
Semester
T+P (Hour)
Credit
ECTS
ANALYTICAL GEOMETRY
-
Fall Semester
2+0
2
4
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of Course
Turkish
Course Level
First Cycle (Bachelor's Degree)
Course Type
Required
Course Coordinator
Assist.Prof. Damla SÖNMEZ
Name of Lecturer(s)
Assist.Prof. Hüseyin KOCAMAN
Assistant(s)
Aim
This course aims for students to describe Cartesian coordinates in the plane and space; explain vectors in the plane and space; describe lines in the plane and three-dimensional space; explain planes in three-dimensional space; explain reflections with respect to lines and planes; and describe conics.
Course Content
This course contains; Orthogonal Coordinate System in Plane and Space,Vectors in the Plane and in Space,Line Equation in Plane and Relative States of Lines,Dot and Cross Product,Lines and Planes in Space,Circle,Equation of a Circle Given Three Points,Ellipse,Parabola,Quadratic Equations,Curves in Plane and Space,Polar Coordinates in the Plane,Cylinder Surface,Linear Surfaces.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
Students explain cartesian coordinates in plane and space.
12, 9
A
Students define vector and line in plane and space.
12, 9
A
Students describe the plane in three-dimensional space.
12, 9
A
Students explain the relationships between lines and planes in three-dimensional space.
12, 9
A
Students explain conics.
12, 9
A
Teaching Methods:
12: Problem Solving Method, 9: Lecture Method
Assessment Methods:
A: Traditional Written Exam
Course Outline
Order
Subjects
Preliminary Work
1
Orthogonal Coordinate System in Plane and Space
[1], [2], [3], [4]
2
Vectors in the Plane and in Space
[1], [2], [3], [4]
3
Line Equation in Plane and Relative States of Lines
[1], [2], [3], [4]
4
Dot and Cross Product
[1], [2], [3], [4]
5
Lines and Planes in Space
[1], [2], [3], [4]
6
Circle
[1], [2], [3], [4]
7
Equation of a Circle Given Three Points
[1], [2], [3], [4]
8
Ellipse
[1], [2], [3], [4]
9
Parabola
[1], [2], [3], [4]
10
Quadratic Equations
[1], [2], [3], [4]
11
Curves in Plane and Space
[1], [2], [3], [4]
12
Polar Coordinates in the Plane
[1], [2], [3], [4]
13
Cylinder Surface
[1], [2], [3], [4]
14
Linear Surfaces
[1], [2], [3], [4]
Resources
[1] Sabuncuoğlu, A. Analitik Geometri. Nobel Akademik Yayıncılık. (Last Edition)
[2] Aslaner, R. Analitik Geometri. Nobel Akademik Yayıncılık. (Last Edition)
[3] Kaya, R. Analitik Geometri. Platform. (Last Edition)
[4] Balcı, M. Analitik Geometri. Palme Yayıncılık. (Last Edition)
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications
No
Program Qualification
Contribution Level
1
2
3
4
5
1
It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching.
It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching.
It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.
X
2
In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally.
X
3
A problem he faces professionally, he analyzes and solves it based on scientific methods.
He solves a problem he faces professionally on his own.
It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.
X
4
Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view.
X
5
In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary.
When he encounters a problem, he formulates it in writing or verbally.
He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment.
He speaks at least B1 level English to monitor international professional developments.
X
6
He knows the basic concepts of his profession.
Applies basic skills related to his profession.
It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles.
In a professional subject, it conducts research by choosing the appropriate research method.
