Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
Linear Algebra II MAE202 Turkish Compulsory 4. Semester 2 + 0 2.0 3.0
Prerequisite Courses
Course Level Undergraduate
Mode of delivery Face to face
Course Coordinator Prof. Dr. ŞAHİN DANİŞMAN
Instructor(s)
Goals 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
Learning Outcomes
# Öğrenme Kazanımı
1 Student finds a basis and the dimension of a given vector space.
2 Student computes the corresponding matrix to a given linear function
3 Student computes the aigen values and their corresponding aigen vectors.
4 Student finds an orthonormal basis for a given vector space
5 Student diagonalizes a given matrix.
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
1. Week Vector spaces Interview Class Hours
2. Week Subspaces, stretching Class Hours Interview
3. Week Base and size Class Hours Interview
4. Week Linear transformations Interview Class Hours
5. Week Linear functions Interview Class Hours
6. Week Kernel and image of a linear transformation Interview Class Hours
7. Week Isomorphies Interview Class Hours
8. Week Midterm
9. Week Eigenvalues ​​and eigenvectors Class Hours Interview
10. Week Characteristic and minimal polynomials Interview Class Hours
11. Week Diagonalization Class Hours Interview
12. Week Inner product spaces Class Hours Interview
13. Week Orthogonality of vectors Interview Class Hours
14. Week Final Interview Class Hours
*Midterm and final exam dates are not specified in the 14-week course operation plan. Midterm and final exam dates are held on the dates specified in the academic calendar with the decision of the University Senate.
The Matrix for Course & Program Learning Outcomes
No Program Requirements Level of Contribution
1 2 3 4 5
1 They know and apply contemporary teaching methods and techniques, assessment and evaluation methods.
Relations with Education Attainment Program Course Competencies
Program Requirements DK1 DK2 DK3 DK4 DK5
PY1 5 5 5 5 5
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
  • Lineer Cebir Cilt: 2, H. Hilmi Hacısalihoğlu, Hacısalihoğlu Yayınları
ECTS credits and course workload
ECTS credits and course workload Quantity Duration (Hour) Total Workload (Hour)
Ders İçi
Class Hours 13 2 26
Ders Dışı
Interview 10 2 20
Sınavlar
Midterm 1 1 1 1
Midterm 2 1 5.5 5.5
Homework 1 1 5 5
Homework 2 1 1 1
Quiz 1 1 1 1
Final 1 1 1
Practice 2 3 6
Classroom Activities 2 5 10
Total Workload 76.5
*AKTS = (Total Workload) / 25,5 ECTS Credit of the Course 3.0