Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
2MATH210Linear Algebra3+0+034

Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Mechatronics Engineering (English)
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course 1) Teach solution methods of linear equation systems
2) Acquire the skill to use matrix and determinant concepts in application
3) Acquire the skill to use linear algebra knowledge in the solution of engineering problems
Course Content Matrices and equation systems, Linear equation systems, echelon form, matrix algebra,elementary matrices, determinants, determinant of a matrix, determinant properties, Cramer's rule, vector spaces, definition of vector space, sub-spaces,linear independence, basis and dimension, change of bases, row space and column space, linear transformations, matrix representation of a linear transformation, Orthogonality, Scalar product, othogonal subspaces, inner product spaces, orthonormal sets, Gram-Schmidt method, eigenvalues and eigenvectors, diagonalization.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Prof.Dr. Namık Yener
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Steven J. Leon, 2002, Linear Algebra with Applications, Pearson Education International, ISBN:0-13-035568.
Presentation
https://drive.google.com/drive/folders/1deGReTUlSBdkyaFHUTsHHES0oOK385Xo

Course Category
Mathematics and Basic Sciences %100
Engineering %0
Engineering Design %0
Education %0
Science %0
Health %0
Field %0

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 1 % 40
Final examination 1 % 60
Total
2
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 3 42
Hours for off-the-c.r.stud 14 6 84
Mid-terms 1 2 2
Final examination 1 2 2
Total Work Load   Number of ECTS Credits 4 130

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Student will be able to solve linear equation systems, do operations with matrices.
2 Students will be able to compute determinants and solve linear equation systems using Cramer's rule.
3 Students will learn concepts of vector spaces, basis and dimension.
4 Students will learn the concept of linear transformation and that this transformation is representable by a matrix.
5 Students will be able to transform a basis into an orthonormal basis by the Gram-Schmidt procedure
6 Students will be able to find the eigenvalues and eigenvectors of matrices.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Matrix and Fundamental Concepts
2 Determinant and Its Properties
3 Minor and cofactor
4 Matrix Inversion
5 Solution by Cramer's rule
6 Vector spaces
7 Linear independence, row space of matrix, column space of matrix
8 Linear transformations and matrix representation of a linear transformation
9 Orthogonality, orthogonal spaces
10 Scalar product, inner product spaces.
11 Gram-Schmidt orthogonalization method
12 Eigenvalues
13 Eigenvectors
14 Diagonalization


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
All 5 1 1 1 1 1 1 1 1 1 1 1
C1 5 1 1 1 1 1 1 1 1 1 1 1
C2 5 1 1 1 1 1 1 1 1 1 1 1
C3 5 1 1 1 1 1 1 1 1 1 1 1
C4 5 1 1 1 1 1 1 1 1 1 1 1
C5 5 1 1 1 1 1 1 1 1 1 1 1
C6 5 1 1 1 1 1 1 1 1 1 1 1

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https://obs.gedik.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=207049&curProgID=5596&lang=en