Information Package / Course Catalogue
Linear Algebra II
Course Code: MAT204
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 2
Credit: 4
Lab: 0
ECTS: 6
Objectives of the Course

Jordan canonical forms and rational forms to students and used in connection with the help of continuous characteristic and minimal polynomials of matrices and operators to provide a detailed review Öğrencilere determinant fonksiyonunun matematiksel olarak farklı tanımlanışını ve özelliklerini, karakteristik ve minimal polinomların yardımıyla özdeğer özvektörlerin bulunuşunu, iç çarpım uzaylarını, Gram-Schmidt ortogonalleştirmesini ayrıntılı incelenmesini vermektir.

Course Content

Symmetric and Alterne gruops, determinant function, characteristic and minimal polynomials, eigenvalues and eigenvectors, diagonalization, inner product spaces, norm and orthogonality, Gram-Schmidt orthogonalization, normal, unitary, positive operators, adjoint of a linear operator.

Name of Lecturer(s)
Lec. Okan ARSLAN
Learning Outcomes
1.They can know the properties of determinant functions and solve its problems
2.They can find eigenvalues and characteristic and minimal polynomials of an aperator
3.They can find eigenvalues of a matrice and examine its diagonalization
4.They can define inner product space
5.They can define linear operator on inner product spaces
6.They can do orthogonalization on inner product spaces
Recommended or Required Reading
1.Linear Algebra and Its Applications; Cemal KOÇ.
2.Linear Algebra; Hatice KANDAMAR, Neşet AYDIN.
3.Linear Algebra, H. Kunze- K. Hoffman
Weekly Detailed Course Contents
Week 1 - Theoretical & Practice
Symmetric and alterne groups
Week 2 - Theoretical & Practice
Definion of determinant function
Week 3 - Theoretical & Practice
Properties of determinants
Week 4 - Theoretical & Practice
Example solutions for determinants
Week 5 - Theoretical & Practice
Characteristic and minimal polynomials
Week 6 - Theoretical & Practice
Eigenvalue and eigenvector of a function
Week 7 - Theoretical & Practice
Eigenvalue and eigenvector of a matrix
Week 8 - Theoretical & Practice
Diagonalization of a matrix
Week 9 - Theoretical & Practice
Inner Product spaces
Week 10 - Theoretical & Practice
Properties of inner product spaces
Week 11 - Theoretical & Practice
Norm and orthogonality
Week 12 - Theoretical & Practice
Gram-Schmidt Orthogonalization
Week 13 - Theoretical & Practice
Normal, unitary and positive operators
Week 14 - Theoretical & Practice
Adjoint of linear operators
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Lecture - Practice140228
Individual Work140228
Midterm Examination118119
Final Examination118119
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
PÇ-16
PÇ-17
PÇ-18
OÇ-1
2
2
3
2
3
2
3
2
2
3
3
4
3
4
OÇ-2
2
3
2
2
3
3
4
3
4
4
2
2
3
2
OÇ-3
3
2
3
2
3
2
2
2
3
3
4
3
4
3
OÇ-4
3
3
4
3
4
2
3
2
3
2
2
2
3
3
OÇ-5
2
3
2
3
2
3
2
3
2
2
3
3
4
4
OÇ-6
Adnan Menderes University - Information Package / Course Catalogue
2026