Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
MB0064		Linear Algebra II	2/2/0	DE	Turkish	5

Course Goals	This course is a continuation of the course Lineer Algebra I and has the objective of introducing more advanced properties of vector spaces, linear mappings and matrices to student.
Prerequisite(s)	Linear Algebra I
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. Nurşah Mutlu Varlıoğlı
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	Oral presentation
Principle Sources	T.S. Blyth and E.F. Robertson, Further Linear Algebra, Springer Undergraduate Mathematics Series, 2006
Other Sources	-

Course Schedules
Week	Contents	Learning Methods
1. Week	Inner Product Spaces	Oral presentation
2. Week	Direct Sums of Subspaces	Oral presentation
3. Week	Primary Decomposition	Oral presentation
4. Week	Reduction to Triangular Form	Oral presentation
5. Week	Reduction to Jordan Form	Oral presentation
6. Week	Rational and Classical Forms	Oral presentation
7. Week	Rational and Classical Forms	Oral presentation
8. Week	Midterm Exam	Exam
9. Week	Dual Spaces	Oral presentation
10. Week	Dual Spaces	Oral presentation
11. Week	Orthogonal Direct Sums	Oral presentation
12. Week	Orthogonal Direct Sums	Oral presentation
13. Week	Bilinear and Quadratic Forms	Oral presentation
14. Week	Real Normality	Oral presentation
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 inner product spaces and applying these spaces. LO-2 By understanding direct sums of subspaces, having knowledge of the orthogonal direct sums. LO-3 Analyzing the primary decomposition and characterizing the normal linear transformations defined on finite dimensional real inner product spaces. LO-4 Understanding the reduction to triangular and Jordan forms. LO-5 Understanding rational and classical forms. LO-6 Understanding dual spaces. LO-7 Understanding bilinear and quadratic 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