PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 2110	ANALYTIC GEOMETRY 2	2 + 0	4th Semester	3

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to gain a deep understanding and insight about the basic geometric objects of the R^3 space.. Throughout this course, students will analyze the concepts of vector, line, and plane in space with analytical. In addition, they will learn how to obtain the equations of quadric surfaces such as spheres, cylinders, and cones, and to draw their graphs. They will also understand the intersections of quadratic surfaces with planes. In addition, they will be able to obtain images of quadratic surfaces algebraically and graphically under translational and rotational transformations.
Course Content	Vectors, equations of line and plane In three-dimensional space, vectorial equations of line and plane, and related problems, quadratic surfaces such as a sphere, cylinder, cone, and cross-sections of quadraticsurfaces with a line and plane in space, quadratic surfaces under translational and rotational transformations.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Define vectors in 3D space and solve related problems.
2	Define the line in space and solve related problems.
3	Define the plane in space and solve related problems.
4	Define the sphere and solve problems related to the sphere.
5	Define the cylinder and solve problems related to the cylinder.
6	Define the cone and solve problems related to the cone.
7	Defines quadratic surfaces under translation transformations and draws their graphs.
8	Defines quadratic surfaces under rotation transformations and draws their graphs.

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	5				5	5	5			5
Sub Total	40	24	24	33				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 Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
IMO 2110	ANALYTIC GEOMETRY 2	2 + 0	1	Turkish	2025-2026 Spring	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. İSMET AYHAN	iayhan@pau.edu.tr		EGT A0232-02	%70

Goals		The aim of this course is to gain a deep understanding and insight about the basic geometric objects of the R^3 space.. Throughout this course, students will analyze the concepts of vector, line, and plane in space with analytical. In addition, they will learn how to obtain the equations of quadric surfaces such as spheres, cylinders, and cones, and to draw their graphs. They will also understand the intersections of quadratic surfaces with planes. In addition, they will be able to obtain images of quadratic surfaces algebraically and graphically under translational and rotational transformations.
Content		Vectors, equations of line and plane In three-dimensional space, vectorial equations of line and plane, and related problems, quadratic surfaces such as a sphere, cylinder, cone, and cross-sections of quadraticsurfaces with a line and plane in space, quadratic surfaces under translational and rotational transformations.

Topics

Weeks	Topics
1	Vectors in space
2	Applications related to vectors in space
3	Vector, parametric and Cartesian equations of a line in space
4	Applications related to equations of lines in space
5	Plane equations in space
6	Applications related to plane equations in space
7	Definition of sphere, intersection shapes
8	Definition of cylinder, intersection shapes
9	Midterm
10	Application regarding cylinder and intersection shapes
11	Definition of cone and intersection shapes
12	Application on the definition of cone and intersection shapes
13	Translation on quadratic surfaces
14	Rotation on quadratic surfaces

Materials

Materials are not specified.

Resources

Resources	Resources Language
Mustafa Balcı, Analitik Geometri, Balcı Yayınları, Ankara, 2000	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	60	Final Exam
Midterm Exam	40	Midterm Exam

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

Prospective Student