PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 2105	ANALYTIC GEOMETRY 1	2 + 0	3rd Semester	3

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	This course aims to provide prospective Mathematics Teachers with a deep understanding and appreciation of basic geometric objects in the R^2 coordinate system. Throughout this course, students will analyze the concepts of vector and line in the plane. In addition, they will learn to obtain the equations of conics such as circle, ellipse, hyperbola, and parabola, draw their graphs and prove theorems about conics. In addition, they will be able to obtain images of conics algebraically and graphically under translational and rotational transformations.
Course Content	Point and line interaction on plane analytic geometry, vectors in the plane, line and fundamental problems, circle and basic problems, ellipse and basic problems, hyperbola and basic problems, parabola, and basic problems.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Define vector in the plane and solve problems related to vectors
2	Define line concept in the plane and solve problems related to lines
3	Define the circle and solve problems related to the circle
4	Define ellipse and solve problems related to the ellipse
5	Define hyperbola and solve problems related to the hyperbola
6	Define parabola and solve problems related to the parabola
7	Define the conics given by the translation transform and solve the related problems.
8	Identify the conics given by rotational transformation and solve the related problems

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	5	3	3	4				5	5	5			5
LO 002	5	3	3	4				5	5	5			5
LO 003	5	3	3	4				5	5	5			5
LO 004	5	3	3	4				5	5	5			5
LO 005	5	3	3	4				5	5	5			5
LO 006	5	3	3	4				5	5	5			5
LO 007	5	3	3	4				5	5	5			5
LO 008	5	3	3	4				5	5	5			5
Sub Total	40	24	24	32				40	40	40			40
Contribution	5	3	3	4	0	0	0	5	5	5	0	0	5	0

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	2	14	28
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Mid-terms	1	7	7
Final examination	1	15	15
Total Work Load ECTS Credit of the Course			78 3

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2026-2027 Fall	1	İSMET AYHAN

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
IMO 2105	ANALYTIC GEOMETRY 1	2 + 0	1	Turkish	2026-2027 Fall	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. İSMET AYHAN	iayhan@pau.edu.tr		EGT A0232-03	%

Goals		This course aims to provide prospective Mathematics Teachers with a deep understanding and appreciation of basic geometric objects in the R^2 coordinate system. Throughout this course, students will analyze the concepts of vector and line in the plane. In addition, they will learn to obtain the equations of conics such as circle, ellipse, hyperbola, and parabola, draw their graphs and prove theorems about conics. In addition, they will be able to obtain images of conics algebraically and graphically under translational and rotational transformations.
Content		Point and line interaction on plane analytic geometry, vectors in the plane, line and fundamental problems, circle and basic problems, ellipse and basic problems, hyperbola and basic problems, parabola, and basic problems.

Topics

Materials

Materials are not specified.

Resources

Course Assessment

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student