COURSE INFORMATION Course Title: LINEAR ALGEBRA

Code	Course Type	Regular Semester	Theory	Practice	Lab	Credits	ECTS
CEN 105	A	1	3	0	0	3	5

Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature)	Dr. Shkëlqim Hajrulla shhajrulla@epoka.edu.al
Main Course Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	Dr. Shkëlqim Hajrulla shhajrulla@epoka.edu.al , Mon 10:00-12:00
Second Course Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	NA
Language:	English
Compulsory/Elective:	Compulsory
Study program: (the study for which this course is offered)	Bachelor in Software Engineering (3 years)
Classroom and Meeting Time:	A130 - A131
Teaching Assistant(s) and Office Hours:	NA
Code of Ethics:	Code of Ethics of EPOKA University Regulation of EPOKA University "On Student Discipline"
Attendance Requirement:	N/A
Course Description:	The objective of this course is to provide the necessary information about computer engineering and the computer engineering profession. This includes hardware and software components of a computer system, basic computer usage, basics of operating systems, file operations, internet and office applications.
Course Objectives:	Mathematical topics aimed at applications in engineering. Matrices, operations on them. Row-echelon form. Simultaneous linear equations. Square matrices, determinants, matrix inversion. Vector spaces, subspaces, span, linear independence, change of basis, fundamental subspaces. Eigenvalues and eigenvectors, diagonalization, singular-value decomposition.

BASIC CONCEPTS OF THE COURSE

1	Concepts on algebra, relations,--Matrices, operations, Row echelon form (REF)
2	Logic relations. (REF) and reduced row echelon form (RREF)
3	Solving problems with Gaussian elimination and Gauss-Jordan elimination techniques.
4	matrices and triangular matrices. Elementary matrices. inverse matrix
5	Introducing row operations. Solving matrix equations.
6	Determinants. Expansion by cofactors. Evaluation by pivotal condensation
7	Determinants. Expansion by cofactors. Evaluation by pivotal condensation
8	operations and the axioms in vector spaces. Subspaces.
9	Fundamental subspaces: row space, column space, null space.
10	Applications of eigenvalues and eigenvectors.

COURSE OUTLINE

Week	Topics
1	Matrices, basic operations: addition, scalar multiplication, matrix transposes and matrix multiplication.
2	Elementary row operations. Row echelon form (REF) and reduced row echelon form (RREF)
3	Linear systems. Consistency. Simplifying operations. Gaussian elimination and Gauss-Jordan elimination techniques.
4	Square matrices, diagonal matrices and triangular matrices. Elementary matrices.
5	Matrix inversion by elementary row operations. Solving matrix equations.
6	Determinants. Expansion by cofactors. Evaluation by pivotal condensation.
7	Midterm exam.
8	Vector spaces. Definition of operations and the axioms. Subspaces.
9	Span. Linear independence.
10	Basis. Change of basis.
11	Fundamental subspaces: row space, column space, null space.
12	Eigenvalues and eigenvectors. Diagonalization.
13	Applications of eigenvalues and eigenvectors.
14	Singular value decomposition. Overview in general

Prerequisite(s):	None
Textbook(s):	"Linear Algebra and Its Applications" by Gilbert Strang "Linear Algebra: Concepts and Methods" by Martin Anthony and Michelle Harvey
Additional Literature:	Lecture notes
Laboratory Work:	No
Computer Usage:	No
Others:	No

COURSE LEARNING OUTCOMES

1	The students will demonstrate an understanding of the matrix semantics, operations on matrices, to determine the row-echelon form and rank, to solve systems of linear equations, evaluate determinants and find inverses in several methods.
2	The students will develop an understanding of vector spaces, subspaces, span, linear independence, basis, change of basis.
3	To understand eigenvalues and eigenvectors and solve problems applying these concepts.

COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES (Blank : no contribution, 1: least contribution ... 5: highest contribution)

No	Program Competencies	Cont.
Bachelor in Software Engineering (3 years) Program
1	Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice.	5
2	Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situations	4
3	Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.	3
4	Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies.	5
5	Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions.	4
6	Ability of identifying the potential resources for information or knowledge regarding a given engineering issue.	4
7	The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence.	5
8	Ability for effective oral and official communication skills in foreign language.	3
9	Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology.	3
10	Engineering graduates with well-structured responsibilities in profession and ethics.	3
11	Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues.	3
12	Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity.	4

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Homework	2	5
Midterm Exam(s)	1	25
Quiz	2	7.5
Final Exam	1	45
Other	1	5
	Total Percent:	100%

ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)

Activities	Quantity	Duration(Hours)	Total Workload(Hours)
Course Duration (Including the exam week: 16x Total course hours)	16	4	64
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Mid-terms	1	10	10
Assignments			0
Final examination	1	11	11
Other	1	12	12
Total Work Load:			125
Total Work Load/25(h):			5
ECTS Credit of the Course:			5

CONCLUDING REMARKS BY THE COURSE LECTURER

office hours