Course Name Code Semester T+U Hours Credit ECTS
Linear Algebra II IME 204 4 2 + 0 2 2
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Prof.Dr. MELEK MASAL
Course Lecturers Prof.Dr. MELEK MASAL,
Course Assistants

Res. Assist. Emine Nur BİLGİÇ

Course Category Available Basic Education in the Field
Course Objective

To create basis for geometry classes by teaching the conceps like vector spaces, linear independence and inner product spaces.

Course Content

Vector spaces and subspaces; linear independence, and linear combinations; concepts of span, basis and dimension; linear functions and their kernels and ranges; isomorphisms; inner product spaces, orthogonal vectors and orthonormal vector sets; aigen values and aigen vectors; characteristic polynomials; diagonalization

# Course Learning Outcomes Teaching Methods Assessment Methods
1 Student finds a basis and the dimension of a given vector space. Lecture, Drilland Practice, Testing,
2 Student computes the corresponding matrix to a given linear function Drilland Practice, Lecture, Testing,
3 Student computes the aigen values and their corresponding aigen vectors. Drilland Practice, Lecture, Testing,
4 Student finds an orthonormal basis for a given vector space Drilland Practice, Lecture, Testing,
5 Student diagonalizes a given matrix. Drilland Practice, Lecture, Testing,
Week Course Topics Preliminary Preparation
1 Introduction to vector spaces.
2 Concepts of bases and dimension of a vector space.
3 Vector subspaces
4 Linear functions
5 Matrix representations of linear functions
6 Kernel and Range spaces
7 Rank-Nullity theorem and its applications
8 Isomorphisms
9 Midterm
10 Inner product spaces
11 Gram-Schmidt orthogonalization therem
12 Aigen values and aigen vectors of a matrix
13 Diagonalization
14 Review for the final exam
Resources
Course Notes
Course Resources

Çözümlü Lineer Cebir Problemleri, Fethi Çallıalp, Birsen Yayınevi

Lineer Cebir Cilt: 2, H. Hilmi Hacısalihoğlu, Hacısalihoğlu Yayınları
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 X
2 X
3 X
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Evaluation System
Semester Studies Contribution Rate
1. Ödev 10
1. Ara Sınav 50
1. Kısa Sınav 20
2. Kısa Sınav 20
Total 100
1. Yıl İçinin Başarıya 40
1. Final 60
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 2 32
Hours for off-the-classroom study (Pre-study, practice) 16 1 16
Mid-terms 1 3 3
Quiz 2 2 4
Assignment 1 2 2
Final examination 1 5 5
Total Workload 62
Total Workload / 25 (Hours) 2.48
dersAKTSKredisi 2