Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
VECTOR AND TENSOR ANALYSIS MAT 582 0 3 + 0 3 6
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Doç.Dr. MURAT SARDUVAN Dersi Verenler Dersin Yardımcıları Staff in mathematics department Dersin Kategorisi Dersin Amacı Basic concepts related to testing of vector and Tenzor given input vector analysis, Gradient, Divergence and Curl theorems, covariant, contravariant and practices to give tenzor purposes. Dersin İçeriği Vectors and scalars, Vector Differentiation, Gradient, Divergence and Curl, curvilinear coordinates, N-Dimensional Spaces, Tenzor basic operations, contravariant, covariyant and mixed tenzor.The right element and the metric tenzor, Christofel sembolleri.Gradyent, Divergence and Curl tenzör shape, Riman-Christofel tenzor, Ostra-Gauss tanzor , the parallel vector field, Tenzor applications
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
 Öğretim Yöntemleri: Ölçme Yöntemleri:

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Vectors and scalars
2 Vector Differentiation
4 curvilinear coordinates
5 N-Dimensional Spaces
6 Tenzor basic operations
7 Contravariant, covariant and mixed tenzor.
8 The right element and the metric tenzor
9 Christofel sembolleri
10 Gradyent, Divergence and Curl tenzör shape
11 Riman-Christofel tenzor
12 Ostra-Gauss tanzor
13 the parallel vector field
14 Tenzor applications

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Student follows the current journals in his/her field and puts forward problems.
2 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics
3 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field.
4 Student uses different proof methods to come to a solution by analyzing the problems encountered.
5 Student determines the problems to be solved within his/her field and if necessary takes the lead.
6 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field.
7 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters
8 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research.
9 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level.
10 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles.

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 10
Odev 1 30
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 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 10 10
Quiz 1 10 10
Assignment 1 10 10
Final examination 1 20 20
Toplam İş Yükü 162
Toplam İş Yükü /25(s) 6.48
Dersin AKTS Kredisi 6.48
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