KIUS
English


ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
Name of the Course Unit Code Year Semester In-Class Hours (T+P) Credit ECTS Credit
DISCRETE MATHEMATICS MAT209 2 3 3+0 3.0 5.0


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 No
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 % 20
Course providing specialised skills to the main field % 30
Course providing supportive skills to the main field % 20
Course providing humanistic, communication and management skills % 10
Course providing transferable skills % 20

Objectives and Contents
Objectives of the Course Unit The goal of this course is to teach non-continuity discrete mathematical ideas as well as the mathematical methods and tools that are used to study them. Discrete mathematics; It comprises a variety of ideas, including charts, trees, graphs, relations (relations), functions, propositional logic, the fundamentals of Boolean algebra, mathematical induction, and recursion relations. This course also presents some mathematical proof methods, such as the pigeon nest principle, the validation table, the induction methodology, and the Venn diagram method. Furthermore, discrete mathematics opens the door for more difficult courses. Data structures, algorithms, database systems, digital logic design, digital logic systems, operations research, automata theory, computer security, abstract algebra, mathematical modeling, geometry, and topology are just a few of the subjects that are mathematically underpinned by discrete mathematics.
Contents of the Course Unit In particular, this class is meant to introduce logic, proofs, sets, relations, functions,counting, and probability, with an emphasis on applications in electrical and computer engineering.
Contribution of the Course Intending to Provide the Professional Education he purpose of this course is to understand and use (abstract) discrete structures that are backbones of computer science.

No
 Key Learning Outcomes of the Course Unit
On successful completion of this course unit, students/learners will or will be able to:
1 After completion of the course students are expected to be able to: Analyze logical propositions via truth tables.
2 Prove mathematical theorems using mathematical induction.
3 Understand sets and perform operations and algebra on sets, Determine properties of relations, identify equivalence and partial order relations, sketch relations and Identify functions and determine their properties.
4 Define graphs, digraphs and trees, and identify their main properties.
5 Evaluate combinations and permutations on sets.

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 Logic: propositional logic, logical equivalence, predicates & quantifiers, and logical reasoning. No file found
2 Sets: basics, set operations No file found
3 Functions: one-to-one, onto, inverse, composition, graphs No file found
4 Integers: greatest common divisor, Euclidean algorithm. No file found
5 Sequences and Summations No file found
6 Mathematical reasoning and induction: Proof strategies, Mathematical Induction, Recursive
definitions, Structural Induction		 No file found
7 Counting: basic rules, Pigeonhole principle, Permutations and Combinations No file found
8 Binomial coefficients and Pascal triangle. No file found
9 Probability: Discrete probability. No file found
10 Probability:Expected values and variance No file found
11 Relations: Properties, Combining relations No file found
12 Relations: Closures, Equivalence, Partial ordering No file found
13 Graphs: directed No file found
14 Graphs: undirected graphs No file found

SOURCE MATERIALS & RECOMMENDED READING
1-Kenneth H. Rosen. Discrete Mathematics and Its Applications, 7th Edition, McGraw Hill, 2012.

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 Basic principles of multivariable calculus, including differentiation, integration and differential equations. X
2 Basics of electric and electronic circuits theory. X
3 Sustainability, environmental impact and life cycle assessment of electrical & electronics engineering works. Renewable energy systems. X
4 Management principles and ethical issues for electrical engineers. X
SKILLS
Cognitive
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Apply methods from electromagnetic theory and basic physics to the analysis of electrical and electronic systems including electrical power systems X
2 Extract relevant physical properties from the Laplace, Fourier and z transforms of differential equations X
3 Devise lab experiments, collect and analyse data from physical and simulated test systems and use the results to solve technical problems. X
4 Use lab equipment effectively and safely to measure and analyse electronic and electrical systems, both digital and analog. 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 After completion of the course students are expected to be able to: Analyze logical propositions via truth tables.
2 Prove mathematical theorems using mathematical induction.
3 Understand sets and perform operations and algebra on sets, Determine properties of relations, identify equivalence and partial order relations, sketch relations and Identify functions and determine their properties.
4 Define graphs, digraphs and trees, and identify their main properties.
5 Evaluate combinations and permutations on sets.

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 0 0
Preliminary & Further Study 14 0 0
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 0 0 0
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 - - 0
Workload for Assessment Activities
Type of the Assessment Activites # of Assessment Activities
 Duration
(hours, h)		 Workload (h)
Final Exam 1 0 0
Preparation for the Final Exam 0 0 0
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 - - 0
Total Workload of the Course Unit - - 0
Workload (h) / 25.5 0.0
ECTS Credits allocated for the Course Unit 5.0

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.