1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF EDUCATION
  3. EDUCATION OF SCIENCE AND MATHEMATICS DEPARTMENT
  4. 133 ELEMENTARY MATHEMATICS EDUCATION
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
IMO 2105ANALYTIC GEOMETRY 12 + 03rd Semester3

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.
Mode of Delivery Face to Face

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

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12PO 13PO 14
LO 0015  2          
LO 0025  2          
LO 0035  2          
LO 0045  2          
LO 0055  2          
LO 0065  2          
LO 0075  2          
LO 0085  2          
Sub Total40  16          
Contribution50020000000000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)21428
Hours for off-the-classroom study (Pre-study, practice)14228
Mid-terms177
Final examination11515
Total Work Load

ECTS Credit of the Course





78

3
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Fall1İSMET AYHAN
Details 2023-2024 Fall2İSMET AYHAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
IMO 2105 ANALYTIC GEOMETRY 1 2 + 0 1 Turkish 2023-2024 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. İSMET AYHAN iayhan@pau.edu.tr EGT A0232-03 %70
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
WeeksTopics
1 Point and line interaction on plane analytic geometry
2 vectors in the plane
3 line and fundamental problems
4 application related with line and fundamental problems
5 curve plotting in plane
6 to obtain parametric equations of cycloid curve
7 to obtain parametric equations epicycloid ve horocycloid curves
8 circle and basic problems
9 midterm exam
10 ellipse and basic problems
11 application related with ellipse and basic problems
12 hyperbola and basic problems
13 application related with hyperbola and basic problems
14 parabola and basic problems
Materials
Materials are not specified.
Resources
ResourcesResources Language
Analitik Geometri, Mustafa Balcı,Balcı yayınları Türkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam60Final Exam
Midterm Exam40Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes