KIUS
English


MECHATRONICS ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
Name of the Course Unit Code Year Semester In-Class Hours (T+P) Credit ECTS Credit
NUMERICAL ANALYSIS MAT302 3 6 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 -
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 purpose of the numerical analysis is two-fold: (1) to find acceptable approximate solutions when exact solutions are either impossible or so arduous and time-consuming as to be impractical, and (2) to devise alternate methods of solution better suited to the capabilities of computers. While this course will involve the student in considerable computation in order to apply techniques and obtain acceptable answers, the main emphasis will be on the underlying theory. It will be necessary to draw upon a good bit of calculus, linear algebra, computer science and other branches of mathematics during the course.
Contents of the Course Unit This course covers the Round-off Errors and Computer Arithmetic: Binary Machine Numbers, Decimal Machine Numbers, Rate of Convergence,The Bisection Method; Fixed-Point Iteration The Newton's Method; The Secant Method,The Method of False Position; Error Analysis for Iterative Methods; Accelerating Convergence,Interpolation and the Lagrange Polynomial,Data Approximation and Neville's Method,Divided Differences: Forward, Backward and Centered Differences Numerical Differentiation: Three and Five Point Formulas Numerical Integration,Numerical Differentiation: Second Derivative Midpoint Formula; Round-Off Error Instability,Numerical Integration: the Trapezoidal and Simpson's Rule , Romberg Integration, Adaptive Quadrature Methods, Gaussian Quadrature,Numerical Integration: Open and Closed Newton-Cotes Formulas,Numerical Integration: Composite Numerical Integration and Round-Off Error Stability
Contribution of the Course Intending to Provide the Professional Education We study numerical analysis to 1) get to know how fast errors cause problems 2) to find better algorithms that cause less errors

No
 Key Learning Outcomes of the Course Unit
On successful completion of this course unit, students/learners will or will be able to:
1 Recognize the error analysis and convergence.
2 Do the numerical solutions of equations in one variable.
3 Recognize Newton’s Method and its extensions.
4 Recognize the interpolation and polynomial approximation.
5 Recognize direct Methods for Solving Linear Systems
6 Recognize Iterative Techniques for Solving Linear Systems
7 Recognnize Numerical Differentiation and Numerical Integration

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 Preliminaries of Computing
- Basic concepts: round-off errors, floating point arithmetic, Convergence.		 No file found
2 Numerical solution of Nonlinear Equations:
- Bisection method
- fixed-point iteration		 No file found
3 Numerical solution of Nonlinear Equations:
- Newton’s method
- The Secant Method		 No file found
4 Interpolation and Polynomial Approximation
a) Lagrange Polynomial
b) Divided Differences
c) Hermite Interpolation		 No file found
5 Direct Methods for Solving Linear Systems No file found
6 IterativeTechniques for Solving Linear Systems:
The Jacobi and Gauss-Siedel Iterative Techniques		 No file found
7 Interpolation and Polynomial Approximation:
Interpolation and the Lagrange Polynomial
Data Approximation and Neville’s Method		 No file found
8 Midterm exam No file found
9 Interpolation and Polynomial Approximation:
Divided Differences
Hermite Interpolation		 No file found
10 Numerical Differentiation
Three-Point Formulas, Five-Point Formulas,		 No file found
11 Numerical Integration
TheTrapezoidal Rule,Simpson’s Rule .Composite Numerical Integration.		 No file found
12 Initial-Value Problems for Ordinary Differential Equations:
Euler’s Method, Higher-Order Taylor Methods, Runge-Kutta Methods		 No file found
13 Approximation Theory:
Discrete Least Squares Approximation.
Rational Function Approximation.		 No file found
14 Revision No file found

SOURCE MATERIALS & RECOMMENDED READING
1-Numerical Analysis ,9th edition by Richard L. Burden & J. Douglas Faires



2-Numerical Analysis, 2/E .Timothy Sauer,2012, pearson .ISBN-13: 9780321783677



3-Numerical Methods for Engineers,6 EDITION, Steven C. Chapra, 2011.McGraw-Hil, ISBN :9780073401065

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 The program will enable students to develop:A broad understanding of the utilization of computers in control and communication; A basic understanding of the principles of motion control; X
2 Ability to identify, define, formulate and solve complex engineering problems; ability to select and implement the appropriate analysis and modeling methods in this respect X
SKILLS
Cognitive
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Ability to work in the areas of controll, electronics, mechanics and computer systems; Adequate knowledge ability in analysing and designing of complex electro mechanic devices, hardware and software containing systems in which interact with dynamic systems. X
2 Knowledge of applications in business life such as project management, risk management and change management; awareness about entrepreneurship, innovativeness and sustainable development. X
Practical
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 The program will enable students to develop:Creative design abilities and a practical appreciation of the product development process through appropriate group individual activities; and the ability to coordinate multi-disciplinary projects, to make trade-offs among the available technology options with respect to cost, schedule, and risk, and to design and integrate motion control systems emphasizing motor and mechanism sub-systems; X
2 The program will enable students to develop: Work as an effective member of a design team; Communicate technical results to specialists and non-specialists. 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 To produce mechatronic engineers who are capable of integrating the diverse disciplines of mechanical, electronic and computer engineering with a view to: 1.Design and develop high value-added consumer products with microprocessor control. 2.Design, implement and manage industrial automation machines, systems and facilities. X
Learning to Learn
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Awareness of the necessity of lifelong learning; ability to reach information, follow the latest developments in science and technology; ability to ensure self-renewal perpetually. X
Communication & Social
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Ability to communicate efficiently both in oral and written ways in Turkish; knowledge of at least one foreign language; ability to effectively prepare reports and understand written reports, prepare design and production reports, effective presentation; giving and receiving clear and understandable instructions. X
Occupational and/or Vocational
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Acting in line with ethical principles, sense of professional and ethical responsibility; knowledge on the standards of engineering applications. 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 Recognize the error analysis and convergence.3 (2)
2 Do the numerical solutions of equations in one variable.1 (3), 3 (2)
3 Recognize Newton’s Method and its extensions.
4 Recognize the interpolation and polynomial approximation.
5 Recognize direct Methods for Solving Linear Systems
6 Recognize Iterative Techniques for Solving Linear Systems
7 Recognnize Numerical Differentiation and Numerical Integration

Assessment
Assessment & Grading of In-Term Activities Number of
Activities		 Degree of Contribution (%)
Mid-Term Exam 2 % 90
Computer Based Presentation 0 -
Short Exam 0 -
Presentation of Report 0 -
Homework Assessment 1 % 10
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 3 %100
Contribution of In-Term Assessments to Overall Grade 3 %50
Contribution of Final Exam to Overall Grade 1 %50
TOTAL 4 %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 5 70
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 1 5 5
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 - - 117
Workload for Assessment Activities
Type of the Assessment Activites # of Assessment Activities
 Duration
(hours, h)		 Workload (h)
Final Exam 1 2 2
Preparation for the Final Exam 1 5 5
Mid-Term Exam 2 1 2
Preparation for the Mid-Term Exam 1 5 5
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
Total Workload for Assessment Activities - - 14
Total Workload of the Course Unit - - 131
Workload (h) / 25.5 5.1
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.