KIUS
English


COMPUTER ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
Name of the Course Unit Code Year Semester In-Class Hours (T+P) Credit ECTS Credit
LINEAR ALGEBRA MAT106 1 2 3+0 3.0 4.0


General Information
Language of Instruction English
Level of the Course Unit Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of the Course Compulsory
Mode of Delivery of the Course Unit Face-to-face
Work Placement(s) Requirement for the Course Unit Yes
Coordinator of the Course Unit
Instructor(s) of the Course Unit
Assistant(s) of the Course Unit

Prerequisites and/or co-requisities of the course unit
CATEGORY OF THE COURSE UNIT
Category of the Course Unit Degree of Contribution (%)
Fundamental Course in the field -
Course providing specialised skills to the main field -
Course providing supportive skills to the main field % 100
Course providing humanistic, communication and management skills -
Course providing transferable skills -

Objectives and Contents
Objectives of the Course Unit The course is standard first year course on linear algebra providing basic definitions, concepts and methods. Discussion and proofs are given in form of algorithms whenever is possible. The objective Concepts of basic operations in Linear algebra: Introduction to Systems of Linear Equations, Gaussian Elimination, Matrices and Matrix Operations, Inverses; Rules of Matrix Arithmetic, Elementary is twofold: to make students ready to see applications of linear algebra on subsequent courses and to enable them to continue their study on more advanced level.
Contents of the Course Unit Matrices and a method for finding , Further Results on Systems of Equations and Inevitability, Diagonal, Triangular and Symmetric Matrices, The Determinant Function, Evaluating Determinants by Row Reduction, Properties of the Determinant Function, Cofactor Expansion; Cramer’s Rule, Euclidean n-space, Linear Transformation , Properties of Linear Transformations from , Real Vector Spaces, Subspaces, Linear Independence, Basis and Dimension, Row Space, Column Space and Nullspace, Rank and Nullity, Inner Products, Angle and Orthogonality in Inner product Spaces , Orthogonal Bases; Gram-Schmidt Process, Eigenvalues and Eigenvectors, Diagonalization.
Contribution of the Course Intending to Provide the Professional Education The objective Concepts of basic operations in Linear algebra: Introduction to Systems of Linear Equations, Gaussian Elimination, Matrices and Matrix Operations, Inverses; Rules of Matrix Arithmetic, Elementary is twofold: to make students ready to see applications of linear algebra on subsequent courses and to enable them to continue their study on more advanced level.

No
 Key Learning Outcomes of the Course Unit
On successful completion of this course unit, students/learners will or will be able to:
1 On successful completion of this course, all students will have developed knowledge and understanding of: Concepts of Linear Algebra Theory,
2 On successful completion of this course, all students will have developed their skills in: Proving mathematical theorems,
3 Working on relevant literature related to the course,
4 English for mathematics.
5 On successful completion of this course, all students will have developed their appreciation of and respect for values and attitudes regarding the issues of: Getting strong background for further study, Being open minded and creative, Getting aware about ethical issues in science, Getting aware about role of mathematics in science and everyday life.

Learning Activities & Teaching Methods of the Course Unit
Learning Activities & Teaching Methods of the Course Unit

Weekly Course Contents and Study Materials for Preliminary & Further Study
Week Topics (Subjects) Preparatory & Further Activities
1 1.1 Introduction to Systems of Linear Equations
1.2 Gaussian Elimination		 No file found
2 1.3 Matrices and Matrix Operations

1.4 Inverses; Rules of Matrix Arithmetic		 No file found
3 1.5 Elementary Matrices and a method for finding

1.6 Further Results on Systems of Equations and Inevitability		 No file found
4 1.7 Diagonal, Triangular and Symmetric Matrices

2.1 The Determinant Function		 No file found
5 2.2 Evaluating Determinants by Row Reduction

2.3 Properties of the Determinant Function		 No file found
6 2.4 Cofactor Expansion; Cramer’s Rule

4.1 Euclidean n-space		 No file found
7 midterm exam No file found
8 4.2 Linear Transformation

4.3 Properties of Linear Transformations from		 No file found
9 5.1 Real Vector Spaces

5.2 Subspaces		 No file found
10 5.1 Real Vector Spaces

5.2 Subspaces		 No file found
11 5.5 Row Space, Column Space and Nullspace

5.6 Rank and Nullity		 No file found
12 6.1 Inner Products

6.2 Angle and Orthogonality in Inner product Spaces		 No file found
13 6.3 Orthogonal Bases; Gram-Schmidt Process

7.1 Eigenvalues and Eigenvectors		 No file found
14 Final Examinations No file found

SOURCE MATERIALS & RECOMMENDED READING
1-Elementary Linear Algebra, 8th ed., by Howard Anton, Chris Rorres. John Wiley & Sons, Inc.

MATERIAL SHARING
Course Notes No file found
Presentations No file found
Homework No file found
Exam Questions & Solutions No file found
Useful Links No file found
Video and Visual Materials No file found
Other No file found
Announcements No file found

CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES
KNOWLEDGE
Theoretical
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Gaining knowledge on computer software, computer hardware, and computer networks with a strong background on mathematics X
2 Being able to design and implement both software and hardware of computer and computerized systems X
3 technical and practical knowledge X
Factual
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Gained ability to be able to tackle with real-world cases X
SKILLS
Cognitive
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Have insight into the latest technological developments in the contemporary societies X
2 using the technology for solving real-world problems X
3 being aware of real-world engineering tasks and problems X
Practical
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 practicing with real-world cases X
PERSONAL & OCCUPATIONAL COMPETENCES IN TERMS OF EACH OF THE FOLLOWING GROUPS
Autonomy & Responsibility
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 being able to use the technology to design and implement software and hardware of computer and computerized systems for solving real-world problems X
2 graduation projects on real-world cases X
3 summer practice at a workplace X
Learning to Learn
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 gain insight to the latest technological developments X
2 Being able to implement sustainable computerized systems both in software and hardware X
Communication & Social
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 being able to formulate mathematical models via communication of the problem word for designing and implementing solutions both in software and hardware X
Occupational and/or Vocational
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Achieving a technically competent career X
2 Design and implement information and computing systems for the ever growing contemporary societies X
*Level of Contribution (0-5): Empty-Null (0), 1- Very Low, 2- Low, 3- Medium, 4- High, 5- Very High

No
 Key Learning Outcomes of the Course Unit
On successful completion of this course unit, students/learners will or will be able to: 		PROGRAMME LEARNING OUTCOMES
1 On successful completion of this course, all students will have developed knowledge and understanding of: Concepts of Linear Algebra Theory,
2 On successful completion of this course, all students will have developed their skills in: Proving mathematical theorems,
3 Working on relevant literature related to the course,
4 English for mathematics.
5 On successful completion of this course, all students will have developed their appreciation of and respect for values and attitudes regarding the issues of: Getting strong background for further study, Being open minded and creative, Getting aware about ethical issues in science, Getting aware about role of mathematics in science and everyday life.

Assessment
Assessment & Grading of In-Term Activities Number of
Activities		 Degree of Contribution (%)
Mid-Term Exam 0 -
Computer Based Presentation 0 -
Short Exam 0 -
Presentation of Report 0 -
Homework Assessment 0 -
Oral Exam 0 -
Presentation of Thesis 0 -
Presentation of Document 0 -
Expert Assessment 0 -
Board Exam 0 -
Practice Exam 0 -
Year-End Final Exam 0 -
Internship Exam 0 -
TOTAL 0 %100
Contribution of In-Term Assessments to Overall Grade 0 %50
Contribution of Final Exam to Overall Grade 1 %50
TOTAL 1 %100


WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites Learning Activities
(# of week)		 Duration
(hours, h)		 Workload (h)
Lecture & In-Class Activities 14 3 42
Preliminary & Further Study 14 2 28
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 4 3 12
Project Work 0 0 0
Seminar 0 0 0
Internship 0 0 0
Technical Visit 0 0 0
Web Based Learning 0 0 0
Implementation/Application/Practice 0 0 0
Practice at a workplace 0 0 0
Occupational Activity 0 0 0
Social Activity 0 0 0
Thesis Work 0 0 0
Field Study 0 0 0
Report Writing 0 0 0
Total Workload for Learning & Teaching Activities - - 82
Workload for Assessment Activities
Type of the Assessment Activites # of Assessment Activities
 Duration
(hours, h)		 Workload (h)
Final Exam 1 3 3
Preparation for the Final Exam 1 12 12
Mid-Term Exam 0 0 0
Preparation for the Mid-Term Exam 0 0 0
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
Total Workload for Assessment Activities - - 15
Total Workload of the Course Unit - - 97
Workload (h) / 25.5 3.8
ECTS Credits allocated for the Course Unit 4.0

EBS : Kıbrıs İlim Üniversitesi Eğitim Öğretim Bilgi Sistemi Kıbrıs İlim Üniversitesi AKTS Bilgi Paketi AKTS Bilgi Paketi ECTS Information Package Avrupa Kredi Transfer Sistemi (AKTS/ECTS), Avrupa Yükseköğretim Alanı (Bologna Süreci) hedeflerini destekleyen iş yükü ve öğrenme çıktılarına dayalı öğrenci/öğrenme merkezli öğretme ve öğrenme yaklaşımı çerçevesinde yükseköğretimde uluslarası saydamlığı arttırmak ve öğrenci hareketliliği ile öğrencilerin yurtdışında gördükleri öğrenimleri kendi ülkelerinde tanınmasını kolaylaştırmak amacıyla Avrupa Komisyonu tarafından 1989 yılında Erasmus Programı (günümüzde Yaşam Boyu Öğrenme Programı) kapsamında geliştirilmiş ve Avrupa ülkeleri tarafından yaygın olarak kabul görmüş bir kredi sistemidir. AKTS, aynı zamanda, yükseköğretim kurumlarına, öğretim programları ve ders içeriklerinin iş yüküne bağlı olarak kolay anlaşılabilir bir yapıda tasarlanması, uygulanması, gözden geçirilmesi, iyileştirilmesi ve bu sayede yükseköğretim programlarının kalitesinin geliştirilmesine ve kalite güvencesine önemli katkı sağlayan bir sistematik yaklaşım sunmaktadır. ETIS : İstanbul Aydın University Education & Training System Cyprus Science University ECTS Information Package ECTS Information Package European Credit Transfer and Accumulation System (ECTS) which was introduced by the European Council in 1989, within the framework of Erasmus, now part of the Life Long Learning Programme, is a student-centered credit system based on the student workload required to achieve the objectives of a programme specified in terms of learning outcomes and competences to be acquired. The implementation of ECTS has, since its introduction, has been found wide acceptance in the higher education systems across the European Countries and become a credit system and an indispensable tool supporting major aims of the Bologna Process and, thus, of European Higher Education Area as it makes teaching and learning in higher education more transparent across Europe and facilitates the recognition of all studies. The system allows for the transfer of learning experiences between different institutions, greater student mobility and more flexible routes to gain degrees. It also offers a systematic approach to curriculum design as well as quality assessment and improvement and, thus, quality assurance.