| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Linear Algebra 2 | IMO106 | Compulsory | Bachelor's degree | 1 | Spring | 5 |
Name of Lecturer(s)
Prof. Dr. Ahmet KÜÇÜK
Assistant Prof. Dr. Ayşe Arzu ARI
Learning Outcomes of the Course Unit
1) Knows the concept of orthogonality.
2) Know inner product spaces, Euclidean space,unitary space concepts and properties.
3) Know linear transformations and theirproperties.
4) Define diagonalization, characteristic value,characteristic vector, characteristicpolynomial, characteristic equations andapply them.
5) They know the Cayley-Hamilton Theory andits consequences, and apply it.
6) he symmetric and hermit transformations are known with orthogonal and unitary transformations.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | No relation | High | High | High | High | High | High | High | High | High | High | High | High | |
| 2 | High | High | High | No relation | High | High | No relation | High | High | No relation | High | High | High | |
| 3 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 4 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 5 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 6 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Linear Algebra 1
Course Contents
Vector spaces, subspaces, linear independence, linear combinations; stretching, baseand size; linear transformations, the kernel and image of a linear transform; isomorphs,self-values and self-vectors; characteristic polynomials; diagonalization, inner productspaces, orthogonality of vectors, orthonormal vector clusters.
Weekly Schedule
1) General revision2) Determinants
3) Determinants
4) Diagonalization: Eigenvalues and Eigenvectors
5) Diagonalization: Eigenvalues and Eigenvectors
6) Canonical Forms
7) General overview and practice
8) Midterm
9) Canonical Forms
10) Linear Functionals and the Dual Space
11) Linear Functionals and the Dual Space
12) Bilinear, Quadratic, and Hermitian Forms
13) Bilinear, Quadratic, and Hermitian Forms
14) Linear Operators on Inner Product Spaces
15) Linear Operators on Inner Product Spaces
16) General revision
Recommended or Required Reading
1- Lineer Cebir, SCHAUM's Outlines, Yrd. Doç. Dr. İlker AKKUŞ, 2013, Ankara
2- Lineer Cebir, Prof. Dr. Fevzi Başar, Sürat yayınları, 2012, İstanbul
3- Lineer Cebir, Prof. Dr. Hilmi Hacısalihoğlu, Gazi Üniversitesi yayınları, Ankara, 1985
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Drill and Practice
4) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required