Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
KINEMATICS MAT 353 5 2 + 0 2 4
Ön Koşul Dersleri Students are assumed to be familiar with Calculus, Analytic Geometry, and Differential Geometry.
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü SECMELI Dersin Koordinatörü Prof.Dr. MEHMET ALİ GÜNGÖR Dersi Verenler Prof.Dr. MEHMET ALİ GÜNGÖR Dersin Yardımcıları Research assistant in geometry subfield Dersin Kategorisi Alanına Uygun Öğretim Dersin Amacı To give the motion of a point or point system by using vectors with geometric properties without considering the concepts force and mass Dersin İçeriği 1-parameter motions, 2-parameter motions, spherical kinematic, space kinematics
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/She defines the basic concepts of 1-parameter motions in plane, 1 - 2 - 3 - A - C - 2 - He/She calculates velocities and accelerations of 1-parameter motions in plane, 1 - 3 - 15 - A - C - 3 - He/She constructs Canonical Relative System of 1-parameter motions in plane, 3 - 4 - A - C - 4 - He/She expresses the plane motion with complex numbers, 2 - 3 - 4 - A - C - 5 - He/She defines the basic concepts of 2-parameter motions in plane 1 - 2 - 3 - A - C - 6 - He/She calculates velocities and accelerations of 2-parameter motions in plane, 1 - 3 - 15 - A - C - 7 - He/She constructs sphere motions for 1-parameter motions, 3 - 4 - A - C - 8 - He/She calculates velocities and accelerations of spherical motions, 2 - 4 - 15 - A - C - 9 - He/She constructs Canonical Relative System of spherical motions. 3 - 4 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 15:Problem Solving 4:Drilland Practice Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 1-parameter motions in plane [1] Page 1-21
2 Accelerations and the combination of the acceleration axes [1] Page 21-31
3 Canonical Relative System and Euler-Savary formula [1] Page 31-37
4 Expressing the plane motion with complex numbers [1] Page 79-82
5 The accelerations from the higher order and the acceleration poles [1] Page 90-100
6 Two parameter motions on the plane [1] Page 181-197
7 The motions which has pole axes having with zero density [1] Page 197-207
8 Sphere kinematics [1] Page 207-217
9 Midterm
10 Canonical Relative System and the rolling of the pole curves [1] Page 217-224
11 Corresponding to Euler-Savary formula which is belong to trajectory curves [1] Page 224-229
12 Two parameter rotation motions, [1] Page 229-237
13 Space kinematics [1] Page 241-265
14 Many spaces moving with respect to each other. [1] Page 265-272

#### Kaynaklar

Ders Notu [1] Müller, H., R., Kinematik Dersleri, Ankara Üni., 1963.
Ders Kaynakları [2] O. Bottema and B. Roth, Theoretical Kinematics, North-Holland Pub. company, Amsterdam-New York-Oxford, 1979.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 He/ she has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment. X
2 Evaluating the fundamental notions, theories and data with academic methods, he/ she determines and analyses the encountered problems and subjects, exchanges ideas, improves suggestions propped up proofs and inquiries. X
3 He/ she has the competency of executing the further studies of undergraduate subjects independently or with shareholders. X
4 He/ she follows up the knowledge of mathematics and has the competency of getting across with his (or her) professional colleagues within a foreign language. X
5 He/ she has the knowledge of computer software information as a mathematician needs. X
6 He/ she has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics. X
7 He/ she has the ability to make the mathematical models of contemporary problems and solving them. X
8 He/ she uses the ability of abstract thinking. X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
KisaSinav 2 10
Odev 1 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 2 32
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 10 10
Quiz 2 7 14
Assignment 1 7 7
Final examination 1 15 15
Toplam İş Yükü 110
Toplam İş Yükü /25(s) 4.4
Dersin AKTS Kredisi 4.4
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