• Basic information
• Learning outcomes
• Contents
• Assessment
• Workload

Learning outcomes

Upon successful completion of this course, students will be able to:

1. List the unifying concepts of Matris theory

   Contribution to Program Outcomes

   1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
   2. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
   3. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

   Method of assessment

   1. Written exam
2. Apply an special area of mathematics to other areas

   Contribution to Program Outcomes

   1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
   2. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.
   3. Exhibiting professional and ethical responsibility.

   Method of assessment

   1. Written exam
3. Use canonical forms

   Contribution to Program Outcomes

   1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
   2. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

   Method of assessment

   1. Written exam

Contents
Week 1:	Matris algebra; Matris addition and multiplication.
Week 2:	Special types of matrices. Partioned matrices. Echelon form of a matrix.
Week 3:	Elementary matrices. Inverse of a matrix.
Week 4:	Determinants. Properties of determinants. Cramer's Rule.
Week 5:	Vector spaces: Linear independence Basis, dimension
Week 6:	Linear transformations, Kernel and Range, nullity
Week 7:	Matris of a Linear Transformations, rank of matris
Week 8:	Systems of linear equations: Gaussian elimination, Gauss-Jordan reduction method-midterm exam
Week 9:	Characteristic and minimum polynomial, Eigenvalues, eigenvectors, and diagonalization. Similarity.
Week 10:	Inner product spaces. Cauchy-Bunyakowstky Inequality.
Week 11:	Orthogonal transformations. Gram-Schmidt Process.
Week 12:	Annihilating Polynomials of Matrices. Special Types of Matrices. Idempotent matrices. Nilpotent matrices.
Week 13:	Positive Definite Matrices and Positive Semidefinite Matrices.
Week 14:	Vector and matrix norms.
Week 15*:	-
Week 16*:	Final Exam.
Textbooks and materials:	Matrix theory by David W. Lewis
Recommended readings:	Matrix theory by David W. Lewis Elementary Lineer Algebra 7th Ed. Bernard Kolman ve David R. Hill
	* Between 15th and 16th weeks is there a free week for students to prepare for final exam.

Assessment
Method of assessment	Week number	Weight (%)
Mid-terms:	8	40
Other in-term studies:		0
Project:		0
Homework:		0
Quiz:		0
Final exam:	16	60
	Total weight:	(%)

Workload
Activity	Duration (Hours per week)	Total number of weeks	Total hours in term
Courses (Face-to-face teaching):	3	14
Own studies outside class:	4	14
Practice, Recitation:	0	0
Homework:	0	0
Term project:	0	0
Term project presentation:	0	0
Quiz:	0	0
Own study for mid-term exam:	8	1
Mid-term:	2	1
Personal studies for final exam:	10	1
Final exam:	2	1
		Total workload:
		Total ECTS credits:	*
	* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)