Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
ENGINEERING MATHEMATICS INM 500 0 3 + 0 3 6
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Dr.Öğr.Üyesi MUHAMMET ZEKİ ÖZYURT Dersi Verenler Dr.Öğr.Üyesi MUHAMMET ZEKİ ÖZYURT 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)

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 ability to access wide and deep information with scientific researches in the field of Engineering, evaluate, interpret and implement the knowledge gained in his/her field of study X
2 ability to complete and implement “limited or incomplete data” by using the scientific methods. X
3 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them X
4 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process X
5 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering X
6 ability to design and apply analytical, modelling and experimental based research, analyze and interpret the faced complex issues during the design and apply process X
7 gain high level ability to define the required information and data X
8 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations X
9 systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
10 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcement X
11 aware of new and developing application of profession and ability to analyze and study on those applications X
12 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment X
13 ability to access wide and deep information with scientific researches in the field of Engineering, evaluate, interpret and implement the knowledge gained in his/her field of study X
14 ability to access wide and deep information with scientific researches in the field of Engineering, evaluate, interpret and implement the knowledge gained in his/her field of study X
15 ability to complete and implement “limited or incomplete data” by using the scientific methods. X
16 ability to complete and implement “limited or incomplete data” by using the scientific methods. X
17 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them X
18 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them X
19 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process X
20 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process X
21 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering X
22 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering X
23 ability to design and apply analytical, modelling and experimental based research, analyze and interpret the faced complex issues during the design and apply process X
24 ability to design and apply analytical, modelling and experimental based research, analyze and interpret the faced complex issues during the design and apply process X
25 gain high level ability to define the required information and data X
26 gain high level ability to define the required information and data X
27 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations X
28 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations X
29 systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
30 systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
31 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcement X
32 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcement X
33 aware of new and developing application of profession and ability to analyze and study on those applications X
34 aware of new and developing application of profession and ability to analyze and study on those applications X
35 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment X
36 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 50
KisaSinav 1 15
Odev 1 10
KisaSinav 2 15
Odev 2 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 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 12 12
Quiz 2 6 12
Assignment 2 6 12
Final examination 1 12 12
Toplam İş Yükü 144
Toplam İş Yükü /25(s) 5.76
Dersin AKTS Kredisi 5.76
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