Course Name Code Semester T+U Hours Credit ECTS
Engineering Mathematics INM 500 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Compulsory
Course Coordinator Dr.Öğr.Üyesi MUHAMMET ZEKİ ÖZYURT
Course Lecturers Dr.Öğr.Üyesi MUHAMMET ZEKİ ÖZYURT,
Course Assistants
Course Category
Course Objective 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
Course Content 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
# Course Learning Outcomes Teaching Methods Assessment Methods
1 The ability to develop solution algorithm for the technical problems during scientific investigation in the field of engineering Discussion, Problem Solving, Testing, Homework,
2 The ability to use the basic principles and advanced mathematical methods for problems Problem Solving, Discussion, Homework, Testing,
3 To bring out the capability for improving methods and performing innovative analytical approaches Discussion, Question-Answer, Homework, Testing,
Week Course Topics Preliminary Preparation
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)
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
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
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
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
2 ability to complete and implement “limited or incomplete data” by using the scientific methods. 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
3 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them
3 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them
4 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process
4 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process
4 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process
5 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering X
5 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering 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
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
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
7 gain high level ability to define the required information and data
7 gain high level ability to define the required information and data
8 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations
8 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations
8 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations
9 systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
9 systematic and clear verbal or written transfer of the process and results of studies at national and international environments 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
10 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcement
10 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcement
11 aware of new and developing application of profession and ability to analyze and study on those applications X
11 aware of new and developing application of profession and ability to analyze and study on those applications 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
12 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment
12 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment
Evaluation System
Semester Studies Contribution Rate
1. Ödev 20
1. Ara Sınav 50
1. Kısa Sınav 15
2. Kısa Sınav 15
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
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
Total Workload 144
Total Workload / 25 (Hours) 5.76
dersAKTSKredisi 6