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FACULTY of SCIENCE / DEPARTMENT of MATHEMATICS

Course Catalog
http://www.ktu.edu.tr/matematik
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FACULTY of SCIENCE / DEPARTMENT of MATHEMATICS /
Katalog Ana Sayfa
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MAT1002Analytic Geometry4+0+0ECTS:5
Year / SemesterSpring Semester
Level of CourseFirst Cycle
Status Compulsory
DepartmentDEPARTMENT of MATHEMATICS
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 4 hours of lectures per week
LecturerProf. Dr. Ömer PEKŞEN
Co-LecturerProf. Dr. Yasemin SAĞIROĞLU
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
By introducing fundamental concepts of plane and space analytic geometry, this course prepares students fort he contents of analysis. For this reasons; the course aims to provide the students to realize two and three dimensional spaces, the concept of vector, some geometric figures and their graphics as well as intersections and projections
 
Learning OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
LO - 1 : familiar with the concepts of the plane and the space analytic geometry1,2,6,71,
LO - 2 : realize two and three dimensional spaces1,2,6,71,
LO - 3 : understand and draw the graphics of some geometric figures1,2,6,71,
LO - 4 : realize the intersections and projections of gometric figures1,2,6,71,
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome

 
Contents of the Course
Cartesian coordinates in plane and space; Vectors in plane and space; Straight lines in the plane; Straight lines and planes in 3-dimensional space; Relations between point-line, point-plane, line-plane and plane-plane; Rotations and translations in plane; Basic notions about conics; General quadric equations in the plane and their canonic forms and graphics; Polar, cylindrical and spherical coordinates; Special surfaces in space: Cylinders, Rotational surfaces, Quadric surfaces.
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Cartesian coordinates in plane and space
 Week 2Vectors in plane and space
 Week 3Straight lines in the plane
 Week 4Straight lines and planes in three dimensional space
 Week 5Relations between point-line and point-plane
 Week 6Relations between line-plane and plane-plane
 Week 7Rotations and translations in plane
 Week 8Basic notions about conics
 Week 9Mid-term exam
 Week 10Basic notions about conics
 Week 11General quadric equations in the plane and their canonic forms and graphics
 Week 12Polar, cylindrical and spherical coordinates
 Week 13Special surfaces in space: Cylinders, Rotational surfaces
 Week 14Quadric surfaces
 Week 15Quadric surfaces
 Week 16End-of-term exam
 
Textbook / Material
1Hacısalihoğlu, H.H., 2- ve 3-Boyutlu Uzaylarda Analitik Geometri, 1995, Ankara
 
Recommended Reading
1Kindle, J.H., (Çev. Kaya, A.) Düzlem ve Uzay Analitik Geometri, 1987, E.Ü. Fen Fak. Yayınları, İzmir
2Thomas, G.B., Finney, R.L., (Çev. Korkmaz, R.), Calculus ve Analitik Geometri, cilt 2, 2001, Betaş Yayınları, İstanbul.
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 16/04/2024 2 30
Quiz 5
12		 19.03.2024
07.05.2024		 30
30		 20
End-of-term exam 16 05/06/2024 2 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 4 14 56
Sınıf dışı çalışma 6 14 84
Laboratuar çalışması 0 0 0
Arasınav için hazırlık 6 1 6
Arasınav 2 1 2
Uygulama 0 0 0
Klinik Uygulama 0 0 0
Ödev 0 0 0
Proje 0 0 0
Kısa sınav 2 2 4
Dönem sonu sınavı için hazırlık 6 1 6
Dönem sonu sınavı 2 1 2
Diğer 1 0 0 0
Diğer 2 0 0 0
Total work load160