APPLIED NUMERICAL METHODS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MKF530	APPLIED NUMERICAL METHODS	1	3	3	6

GENERAL INFORMATION
Language of Instruction :	Turkish
Level of the Course Unit :	MASTER'S DEGREE, TYY: + 7.Level, EQF-LLL: 7.Level, QF-EHEA: Second Cycle
Type of the Course :	Elective
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Prof. HAMDİ ALPER ÖZYİĞİT
Instructor(s) of the Course Unit
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	Applied numerical methods provides the approximative solutions of complex problems being not practical to conduct by hand and has an important function in this regard especially in engineering applications.
Contents of the Course Unit:	Calculating the numerical values of functions, iterative solutions of linear equations, optimization problems, solutions of differential equations for complex problems in the geometry, interpolation, exterpolation, curve fitting, and calculation of numerical integral.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
The ability to recognize number systems and to conduct the error calculations.
The ability to find the equation roots.
The ability to conduct the solution of linear systems equations.
Knowing the optimization process.
The ability to conduct the interpolation process.
Knowing the work of curve fitting (regression).
Knowing and applying numerical integration methods.
The ability to conduct the numerical derivative and applications.
Knowing the solution of ordinary differential equations.
The ability to conduct the numerical solution of partial differential equations.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	Preparation of course materials	Introduction, explanation of the course and goals. Classification of numerical methods.	Lecture, suggestions and discussion.
2	Preparation of lecture plan, the problems and solution of the subject.	Graphic method, finding the equation roots by iteration.	Interaction and discussion
3	Preparation of the problems and solution	Finding root equation by method of halving the interval, Newton-Raphson’s method	Lecture and discussion by Socrates methods
4	Preparation for given lecture notes	Determinants and Cramer's rule, Gaussian elimination	Lecture and discussion
5	Preparation of lecture plan, the problems and solutions.	Gauss-Seidel iteration and inverse matrix method.	Suggestions and discussion.
6	Preparation of the problems and solution of the subject.	the interpolating and Lagrange polynomial	Interaction and discussion
7	Preparation of course materials	Calculations of integral by the trapezoidal rule, Simpson’s 1/3 - 3/8 rule.	Lecture and discussion by Socrates methods
8	-	MID-TERM EXAM	-
9	Preparation for given lecture notes	Improper integral applications.	Lecture and discussion
10	Preparation of the problems and solution of the subject.	Differential equations by Runge-Kutta and Heun method.	Lecture and discussion
11	Preparation of the problems and solution of the subject.	Finite difference method, derivative boundary conditions,characteristic value problems.	Lecture and discussion
12	Preparation for given lecture notes	Multiple linear regression methods and technical applications.	Lecture by Socrates methods
13	Preparation of the problems and solution of the subject.	Partial differential equations and analysis.	Interaction and discussion
14	Preparation of course materials	Maclaurin and Taylor series and examples.	Suggestions and discussion.
15	Review of the lectures	Euler series and applications. Review of all lectures.	Lecture and discussion
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
Sayısal Analiz / Galip Oturanç 2008
Sayısal Analiz ve Mühendislik Uygulamaları / İrfan Karagöz 2001
Elementary Nümerical Analysis : An Algoritmik Approach McGraw-Hill 1980
Numerical Methods and Analysis / James I.Buchanan,Peter R.Turner 1992

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description	Examination Method

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Based on the engineering degree level qualifications, Mechatronics Engineering or a different field of information can improve the level of expertise.

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Mechatronics Engineering can grasp interdisciplinary interaction to be associated with.

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The knowledge gained in the field of Mechatronics Engineering integrating the information gathered from different disciplines can interpret and create new knowledge.
2	You can use the theoretical and practical knowledge acquired in the level of expertise in Mechatronics Engineering.

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Problems related to the field of Mechatronics Engineering may be using research methods.

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1
2
3

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1
2
3
4

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1
2
3

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	3	42
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	6	3	18
Implementation/Application/Practice	5	3	15
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	8	4	32
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	1	1
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	48	0	150