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 2110ANALYTIC GEOMETRY 22 + 04th Semester3

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.
Mode of Delivery Face to Face

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

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 008     5        
Sub Total35  14 5        
Contribution40020100000000

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 Spring1İSMET AYHAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
IMO 2110 ANALYTIC GEOMETRY 2 2 + 0 1 Turkish 2023-2024 Spring
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
WeeksTopics
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
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