PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 2003	LINEAR ALGEBRA 1	2 + 0	3rd Semester	3

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	Students will learn the basic results about matrix algebra and determinant. By using matrix operations they will be able to solve system of linear equations.
Course Content	Matrices, algebraic operations on matrices, special matrices. Elementary operations, echelon matrix, elementary matrices and inverse matrix. Determinant, properties of determinant. Systems of linear equations, Gauss elimination, Gauss-Jordan, inverse matrix and Cramer’s method. Introduction of vector spaces, sub spaces, span and linear independence.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Perform the arithmetic operations of matrix addition, and multiplication.
2	Use Gaussian elimination or Gauss-Jordan method to find the general solution of a linear system.
3	Express an invertible matrix as a product of elementary matrices.
4	Find an LU decomposition of a square matrix.
5	Use the cofactor expansion to evaluate the determinant of a square matrix.
6	Use Cramer’s rule to solve linear systems of equations.
7	Perform algebraic operations on vectors: addition, subtraction, and scalar multiplication.
8	Determine whether a given set with two operations is a vector space.
9	Determine whether a subset of a vector space is a subspace.
10	• Determine whether a set of vectors is linearly independent or linearly dependent.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 002	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 003	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 004	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 005	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 006	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 007	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 008	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 009	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 010	4	4	3	3	4	4	4	4	4	5	4	4	5	5
Sub Total	40	40	30	30	40	40	40	40	40	50	40	40	50	50
Contribution	4	4	3	3	4	4	4	4	4	5	4	4	5	5

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	2	14	28
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Mid-terms	1	7	7
Final examination	1	15	15
Total Work Load ECTS Credit of the Course			78 3

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2026-2027 Fall	1	İSMET AYHAN

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
IMO 2003	LINEAR ALGEBRA 1	2 + 0	1	Turkish	2026-2027 Fall	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. İSMET AYHAN	iayhan@pau.edu.tr		EGT A0232-03	%

Goals		Students will learn the basic results about matrix algebra and determinant. By using matrix operations they will be able to solve system of linear equations.
Content		Matrices, algebraic operations on matrices, special matrices. Elementary operations, echelon matrix, elementary matrices and inverse matrix. Determinant, properties of determinant. Systems of linear equations, Gauss elimination, Gauss-Jordan, inverse matrix and Cramer’s method. Introduction of vector spaces, sub spaces, span and linear independence.

Topics

Weeks	Topics
1	Matrices, Matrix Operations
2	Special types of matrices
3	Echelon Form of a Matrix
4	Systems of Linear Equations
5	Solution of linear equations with Cramer's Rule
6	Vector spaces
7	Subspaces
8	Span and linear independence
9	Midterm Exam
10	Base and dimension
11	Inner Product Spaces and its the Standard Inner Product
12	Gram-Schmidt Method
13	Vertical Complements
14	Linear transformations, relations between linear transformations and matrices

Materials

Materials are not specified.

Resources

Resources	Resources Language
Seymur Lipschutz, çev: H Hilmi Hacısalihoğlu, Lineer Cebir, Nobel Yayın Dağıtım.	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	60	Final Exam
Midterm Exam	40	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student