Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
MB0060		Matrix Analysis	2/2/0	DE	Turkish	5

Course Goals	The aim of this course is to teach the students how to analyze matrices.
Prerequisite(s)	-
Corequisite(s)	-
Special Requisite(s)	The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s)	Assist. Prof. Dr. Günay Aslan
Course Assistant(s)
Schedule	Day, hours, XXX Campus, classroom number.
Office Hour(s)	Instructor name, day, hours, XXX Campus, office number.
Teaching Methods and Techniques	Lecture and recitation
Principle Sources	-
Other Sources	-

Course Schedules
Week	Contents	Learning Methods
1. Week	Vector spaces	Lecture and recitation
2. Week	Matrices and determinants	Lecture and recitation
3. Week	Some specific matrices	Lecture and recitation
4. Week	Eigenvalues and eigenvectors	Lecture and recitation
5. Week	Practices	Lecture and recitation
6. Week	Diagonalization	Lecture and recitation
7. Week	Simultaneous diagonalization	Lecture and recitation
8. Week	Family of commutative matrices	Lecture and recitation
9. Week	Unity equivalence	Lecture and recitation
10. Week	Schur theorem	Lecture and recitation
11. Week	Results of the Schur theorem	Lecture and recitation
12. Week	Canonical forms	Lecture and recitation
13. Week	Jordan canonical form	Lecture and recitation
14. Week	Practices	Lecture and recitation
15. Week
16. Week
17. Week

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	40
Final Exam	1	60

Program Outcomes PO-1 Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science. PO-2 Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science. PO-3 Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence. PO-4 Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline. PO-5 Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science. PO-6 Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish. PO-7 Using time effectively in inventing solutions by implementing analytical thinking. PO-8 Understanding professional ethics and responsibilities. PO-9 Having the ability to behave independently, to take initiative, and to be creative. PO-10 Understanding the importance of lifelong learning and developing professional skills continuously. PO-11 Using professional knowledge for the benefit of the society.

Learning Outcomes LO-1 Remembering many new varieties of matrices. LO-2 Understanding the connection between matrices and linear transformations. LO-3 Remembering special matrix types and block-matrices. LO-4 Remembering various applications of determinants. LO-5 Remembering new properties of matrix eigenvalues. LO-6 Approaching the concept of eigenvectors in a different way. LO-7 Understanding every linear transforms has no eigenvalue in the infinite dimension space. LO-8 Analysing the importance of the concept of eigenvalue and eigenvector. LO-9 Analysing diagonal forms of matrices. LO-10 Remembering diagonalization and simultaneous diagonalization. Remembering diagonalizable matrices. Analysing the importance of diagonalization. LO-11 Understanding the canonical forms of matrices. LO-12 Understanding the Schur canonical forms. LO-13 Understanding the Jordan canonical forms. LO-14 Understanding application of the canonical forms.

Course Assessment Matrix:

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10	PO 11