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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
ENGINEERING MATHEMATICS INM 500 0 3 + 0 3 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Yüksek Lisans
Dersin Türü ZORUNLU
Dersin Koordinatörü Dr.Öğr.Üyesi TAHİR AKGÜL
Dersi Verenler Dr.Öğr.Üyesi TAHİR AKGÜL
Dersin Yardımcıları
Dersin Kategorisi
Dersin Amacı
To improve the analytic skills to present methods for solution concerned practical engineering problems, To give the basic theoretical principles and advanced mathematical methods for physical problems in engineering
Dersin İçeriği
Linear vector spaces, Introduction to matrices, Systems of linear algebraic equations, Eigenvalues and eigenvectors, Computation methods for eigenvalue problems, Hamilton Cayley’s theory, Diagonalization of similarity transformations, Matrices functions and solutions, Systems of linear differential equations and solutions, Serial solutions of ordinary differential equations, Partial differential equations and applications, Integral transforms
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
Öğretim Yöntemleri:
Ölçme Yöntemleri:

Ders Akışı

Hafta Konular ÖnHazırlık
1 Linear vector spaces
2 Introduction to matrices (basic operations of matrices, transpose of a matrix and a matrix multiplication, inverse of a square matrix and a matrix multiplication, determinant, minors and cofactors, orthogonal and diagonal matrices, matrix powers
3 Systems of linear algebraic equations
4 Eigenvalues and eigenvectors of a matrix
5 Diagonalization of similarity transformations, triangular decomposition
6 Matrices functions and solutions
7 Differential equations and applications in engineering
8 Systems of linear differential equations and solutions
9 Serial solutions of ordinary differential equations
10 Special functions (Gamma and Bessel functions)
11 Partial differential equations and applications
12 Partial differential equations and applications
13 Integral transforms (Laplace and Fourier transforms)
14 Integral transforms (Laplace and Fourier transforms)

Kaynaklar

Ders Notu
Ders Kaynakları

Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5

Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
KisaSinav 1 15
Odev 1 15
Toplam 30
Yıliçinin Başarıya Oranı 40
Finalin Başarıya Oranı 60
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 3 48
Mid-terms 1 12 12
Quiz 2 5 10
Assignment 1 10 10
Final examination 1 12 12
Toplam İş Yükü 140
Toplam İş Yükü /25(s) 5.6
Dersin AKTS Kredisi 5.6
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