Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
170300401202ANALYTIC GEOMETRY IICompulsory126
Level of Course Unit
First Cycle
Objectives of the Course
To provide the basic concepts related to analytical geometry and to use these subjects in other subjects, especially in geometry courses.
Name of Lecturer(s)
Prof.Dr. Elman HAZAR, Yrd. Doç.Dr. Lokman BİLEN, Yrd. Doç.Dr. Gökçe Dilek KÜÇÜK, Yrd. Doç.Dr. Alkan ÖZKAN
Learning Outcomes
1Düzlem ve uzay analitik geometriyi ayırt eder
2Konikler hakkında detaylı bilgileri kullanır
3Konikleri sınıflandırır ve genelleştirir
4Doğru, çember, elips v.s. eğrilerini nokta koordinatlarıyla ifade eder
5Parabol, elips, hiperbol, çember ve koniklerin teğetlerini hesaplar
6Hemodak koniklerde köşeleri, köşegenleri hesaplar
7Uzayda eğrileri, dairesel helis ve küre üzerinde helisi yorumlar
8Yuvarlanma eğrilerini, elipsoid, hiperboloid ve regle yüzeyleri sınıflandırır
9Kuadratik formları ve kuadratik yüzeyleri tartışır
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
General quadratic equations in the plane, parallel displacement of axes, rotation of axes, elements of conics, second order surfaces.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Conics, point coordinates, circle
2Ellipse, Hyperbola, Parabolic and Parametric Equations
3Accurate coordinates, linear coordinate equations.
4Point-to-true duality, linear dependence, duality in space.
5Parabol, ellipse, hyperbola, circles, tangents in conics.
6Linear equations of tangent, ellipse and parabola in ellipses and hyperbola
7The same focused conics, hemodak parabola, conic corner and diagonal.
8Midterm
9General second order equations, conical bundles, center, diagonal, asymptote
10Elements of conics, conics, focus and straightening
11Curves in space, circular helix, helical on cone.
12Rolling curves, back curve, cardioid.
13Cassini oval, Lemniskat, sphere and cylinder surface, Cone, rotational surfaces, tor surface
14Quadratic forms, and quadratic surfaces
Recommended or Required Reading
[1]Prof. Dr. H. Hilmi HACISALİHOĞLU,"2 ve 3 Boyutlu uzaylarda Analitik Geometri", altıncı baskı, Ankara, 2003. [2]Prof. Dr. Rüstem Kaya," Analitik Geometri", beşinci baskı, Eskişehir, 2003. [3]Prof.Dr.Arif SABUNCUOĞLU, "analitik Geometri" Nobel Yay. 5. Baskı,2009
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Makeup Examination122
Attending Lectures5630
Problem Solving5630
Individual Study for Homework Problems5630
Individual Study for Mid term Examination13030
Individual Study for Final Examination13030
Homework5525
TOTAL WORKLOAD (hours)180
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
LO14222233321
LO21111334444
LO33421334444
LO41154434444
LO52122344444
LO62114344444
LO71153444443
LO81243434443
LO91333324443
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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