Information Package / Course Catalogue
Linear Algebra II
Course Code: İMÖ254
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 2
Prt.: 0
Credit: 2
Lab: 0
ECTS: 2
Objectives of the Course

To teach students the basic concepts of linear algebra such as vector spaces, linear independence, base, dimension, inner product spaces, linear transformation, eigenvalue, eigenvector and diagonalization.

Course Content

Vector spaces, subspaces, linear independence, linear combinations. Stretching, base and dimension. Linear transformations, nucleus and image of a linear transformation. Isomorphisms, eigenvalues and eigenvectors. Characteristic polynomials. Diagonalization, inner product spaces, orthogonality of vectors, orthonormal vector sets.

Name of Lecturer(s)
Lec. Serhan ULUSAN
Learning Outcomes
1.Students will explain vector spaces and their properties.
2.Students will express the concepts of linear independence and dependence.
3.Students will express the concepts of base and dimension.
4.Students will explain the concept of eigenvalue and eigenvector.
5.Students will define the inner product.
6.Students will define the concept of orthogonality and its basic properties.
Recommended or Required Reading
1.Seymour Lipschutz, Marc Lars Lipson, İlker Akkuş, Lineer Cebir, Nobel Akademik Yayıncılık, 2013.
2.H.Hilmi Hacısalihoğlu (2000) Lineer Cebir I, , Hacısalihoğlu Yayıncılık.
3.Bernard Kolman; (2004) Elementary Linear Algebra; Fifth Edition.
Weekly Detailed Course Contents
Week 1 - Theoretical
Vector spaces.
Week 2 - Theoretical
Subspaces.
Week 3 - Theoretical
Linear independence.
Week 4 - Theoretical
Span, basis and dimension.
Week 5 - Theoretical
Change of basis matrix.
Week 6 - Theoretical
Inner product spaces.
Week 7 - Theoretical
Ortonormal vector sets.
Week 8 - Theoretical
Linear transformations. (Midterm exam)
Week 9 - Theoretical
The kernel and image of the linear transformation.
Week 10 - Theoretical
Eigenvalues.
Week 11 - Theoretical
Eigenvectors.
Week 12 - Theoretical
Characteristic polynomials.
Week 13 - Theoretical
Cayley-Hamilton Theorem.
Week 14 - Theoretical
Diagonalization.
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140228
Individual Work7017
Midterm Examination1426
Final Examination1729
TOTAL WORKLOAD (hours)50
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
OÇ-1
3
4
4
5
4
4
1
1
OÇ-2
4
4
3
4
4
3
1
1
OÇ-3
4
5
4
5
4
4
1
1
OÇ-4
4
5
5
5
4
4
1
1
OÇ-5
3
4
4
3
2
2
1
1
OÇ-6
4
4
3
4
4
3
1
1
Adnan Menderes University - Information Package / Course Catalogue
2026