Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
LINEAR ALGEBRA MAT215 3. Semester 3 + 0 3.0 5.0

Prerequisites None

Language of Instruction Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Mode of delivery
Course Coordinator
Instructors Derya KAHVECİ
Assistants
Goals Learn the basic concepts of Matrices and Systems of Linear Equations, Algebraic Properties of Matrices, Determinants, Solving techniques of Linear Equation
Course Content Systems of linear equations, Matrices, Matrix Operations, Algebraic properties of matrix operations, Special Types of Matrices and Partitioned Matrices, Echelon Form of a Matrix, Finding inverse of a matrix by Elementary Matrices, Determinants, Properties of Determinants and Cofactor Expansion, Bir matrisin tersi, Applications of Determinants, Characteristic polynomial and eigenvalue of a matrix, Vectors, Real Vector Spaces
Learning Outcomes 1) Obtains a new perspective on how the concept of matrix emerges and the systems of linear equations.
2) Learn how to do algebraic operations in matrices.
3) Learn vector the concept of vectors in space and plane. Learn how to generalize it.

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Lineer Equation Systems and Applications Three elementary operations that does'nt change the soluiton of a system. Lecture; Question Answer

 Homework
2. Week Matrices and some applications (Data tables, vectors, graphs, linear equation systems etc.) Matrice Operations (Matrice sum, scalar multiplication, difference, transpose, dot product, matrice product methods) and representation of a linear systems with a matrice. Lecture; Question Answer

 Homework
3. Week Algebraic Properties of Matrice operations: matrice sum, matrice product, scaler multiplication and transpose. Special type of matrices (triangular, diagonal, symmetric, anti-symetric matrices) and Blok Matrices. Invertible matrices and theorems about it. Solving some linear systems by using invertible matrices. Lecture; Question Answer

 Homework
4. Week Matrice transformation in plane and space (Özel olarak symmetry, projection dilation, genişleme, rotation etc.) Lecture; Question Answer

 Homework
5. Week Solving a linear systems, echolon form, elementary row(column) operations, equivalent matrices Lecture; Question Answer

 Homework
6. Week Gaussian Elemination Method and Gauss-Jordan Method Lecture; Question Answer

 Homework
7. Week Midterm Exam

8. Week Elementary matrices and finding the inverse of a matrix Lecture; Question Answer

 Homework
9. Week Permutation definition of determinant Lecture; Question Answer

 Homework
10. Week The properties of determinant and Co-factor expansion Lecture; Question Answer

 Homework
11. Week Applications of determinant: Finding the inverse and Cramer rule Lecture; Question Answer

 Homework
12. Week R^2 and R^3 Vektör Spaces Lecture; Question Answer

 Homework
13. Week Geometric concepts (length, angle, distance ve vectoral product), Vectoral product using determinants Lecture; Question Answer

 Homework
14. Week Line and plane equations Lecture; Question Answer

 Homework

Sources Used in This Course
Recommended Sources
Bernard Kolman and David R. Hill, Elementary Linear Algebra

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3
PY15555
PY25555
PY35555
PY45000

*DK = Course's Contrubution.
0 1 2 3 4 5
Level of contribution None Very Low Low Fair High Very High
.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 3
Work Hour outside Classroom (Preparation, strengthening) 14 4
Midterm Exam 1 1.5
Time to prepare for Midterm Exam 1 30
Final Exam 1 1.5
Time to prepare for Final Exam 1 30
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
Quick Access Hızlı Erişim Genişlet
Course Information
  • Course Information
  • Weekly Topics (Content)
  • Sources Used in This Course
  • Relations with Education Attainment Program Course Competencies
  • ECTS credits and course workload