Industrial Engineering

Linear Algebra(ING207)

Content
Course Code Course Name Semester Theory Practice Lab Credit ECTS
ING207 Linear Algebra 3 2 2 0 3 5
Prerequisites
Admission Requirements
Language of Instruction
Course Type
Course Level Bachelor Degree
Course Instructor(s) Marie Christine PEROUEME mcperoueme@voila.fr (Email) Muhammed Emre DEMİRCİOĞLU edemircioglu@gsu.edu.tr (Email)
Assistant
Objective
Content
Course Learning Outcomes
Teaching and Learning Methods
References
Print the course contents
Weekly Contents
Theory Topics
Week Weekly Contents
1 The grup of permutations.
2 Decomposition into disjoint cycles, decomposition into transposition and signature of a permutation.
3 Determinant : definition and basic propoerties
4 Some methods to compute determinant
5 Some examples of classic determinants.
6 eigenvalues of a determinant and some geometric examples.
7 Characteristic polynomial, eigenvalues and eigenvectors
8 Diagonalizable matrixs
9 Midterm exam
10 The Cayley–Hamilton theorem
11 Different methods for computing the powers of a matrix.
12 Linear recurrence sequences of order 2 or 3.
13 Systems of homogeneous linear differential equations with constant coefficients.
14 Systems of nonhomogeneous linear differential equations with constant coefficients.
Practice Topics
Week Weekly Contents
Assessment System
Contribution to Overall Grade
  Number Contribution
Contribution of in-term studies to overall grade 1 60
Contribution of final exam to overall grade 1 40
Toplam 2 100
In-Term Studies
  Number Contribution
Assignments 0 0
Presentation 0 0
Midterm Examinations (including preparation) 2 60
Project 0 0
Laboratory 0 0
Other Applications 0 0
Quiz 0 0
Term Paper/ Project 0 0
Portfolio Study 0 0
Reports 0 0
Learning Diary 0 0
Thesis/ Project 0 0
Seminar 0 0
Other 0 0
Toplam 2 60
Relation of Proficiency
No Program Learning Outcomes Contribution
1 2 3 4 5
1 Knowledge and understanding of a wide range of basic sciences (math, physics, ...) and the main concepts of engineering X
2 Ability to combine the knowledge and skills to solve engineering problems and provide reliable solutions X
3 Ability to select and apply methods of analysis and modeling to ask, reformulate and solve the complex problems of industrial engineering
4 Ability to conceptualize complex systems, processes or products under practical constraints to improve their performance, ability to use innovative methods of design
5 Ability to design, select and apply methods and tools needed to solve problems related to the practice of industrial engineering, ability to use computer technology X
6 Ability to design experiments, collect and interpret data and analyze results
7 Ability to work independently, ability to participate in working groups and have a multidisciplinary team spirit
8 Ability to communicate effectively, ability to speak at least two foreign languages X
9 Awareness of the need for continuous improvement of lifelong learning, ability to keep abreast of scientific and technological developments to use the tools of information management
10 Awareness of professional and ethical responsibility
11 Knowledge of the concepts of professional life as "project management", "risk management" and "management of change"
12 Knowledge on entrepreneurship, innovation and sustainability
13 Understanding of the effects of Industrial Engineering applications on global and social health, environment and safety.
14 Knowledge of the problems of contemporary society
15 Knowledge of the legal implications of the practice of industrial engineering
ECTS
Activities Number Period Total Workload
Class Hours 14 4 56
Working Hours out of Class 14 2 28
Midterm Examinations (including preparation) 2 15 30
Final Examinations (including preparation) 1 12 12
Total Workload 126
Total Workload / 25 5.04
Credits ECTS 5
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