Dokuz Eylül University Information Package / Courses Catalog

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type Of Course	D	U	L	ECTS
MAT 5102	NUMERICAL AND APPROXIMATE METHODS	ELECTIVE	3	0	0	9

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

ASSISTANT PROFESSOR GÜLTER BUDAKÇI

Offered to

Ph.D. in Computer Science (English)
M.Sc. in Biochemistry
Ph.D. in Biotechnology
MARINE CHEMISTRY
PHYSICS
Mineral Processing
Statistics (English)
Industrial Ph.D. Program In Advanced Biomedical Technologies
Computer Science
Industrial Ph.D. Program In Advanced Biomedical Technologies
GEOGRAPHICAL INFORMATION SYSTEMS (ENGLISH)
ENVIRONMENTAL EARTH SCIENCES
PHYSICS
NATURAL BUILDING STONES AND GEMSTONES
Geographical Information Systems (Non-Thesis) (English)
PHYSICAL OCEANOGRAPHY
Computer Engineering (Non-Thesis-Evening) (English)
MARINE GEOLOGY AND GEOPHYSICS
Mathematics (English)
Statistics (English)
Applied Geology
GEOGRAPHIC INFORMATION SYSTEMS (ENGLISH)
Computer Engineering Non-Thesis (English)
NAVAL ARCHITECTURE
MARINE LIVING RESOURCES
Mining Operation
Mineral Processing
Economic Geology
Biomedical Tehnologies (English)
ENVIRONMENTAL ENGINEERING (ENGLISH)
Mathematics (English)
Chemistry
Geothermal Energy
ENVIRONMENTAL EARTH SCIENCES-NON THESIS
MARINE CHEMISTRY
Mining Operation
Ph.D. in Biotechnology
UNDERWATER ARCHAELOGY
Economic Geology
Chemistry
Computer Engineering (English)
Environmental Engineering (English)
EARTHQUAKE MANAGEMENT
M.Sc. Geothermal Energy (Non-Thesis-Evening)
Textile Engineering
Mining Operation
Textile Engineering
M.Sc. Textile Engineering
STATISTICS (ENGLISH)
Artificial Intelligence and Intelligent Systems
Ph.D. in Occupational Health and Safety
Ph.D in Biochemistry
INDUSTRIAL ENGINEERING - NON THESIS (EVENING PROGRAM) (ENGLISH)
ENGINEERING MANAGEMENT- NON THESIS (EVENING PROGRAM)
Computer Engineering (English)
EARTHQUAKE MANAGEMENT (Non-Thesis)
GEOGRAPHICAL INFORMATION SYSTEMS - NON THESIS (EVENING PROGRAM) (ENGLISH)
Applied Geology
Mineral Processing
Occupational Healty and Safety
BIOTECHNOLOGY
Logistics Engineering
MARINE GEOLOGY AND GEOPHYSICS
COMPUTER ENGINEERING (ENGLISH)
Chemistry

Course Objective

This course aims to give an introduction to numerical methods for engineering problems

Learning Outcomes of the Course Unit

1	Will be able to adopt the concept of error, converge and stability.
2	Will be able to find Taylor expansion of functions
3	Will be able to find exact or approximate solution of equations.
4	Will be able to find exact or approximate solution of system of equations.
5	Will be able to find a nearest curve to a function that lies on a different space.
6	Will be able to solve Numeriacal Differentiation
7	Will be able to solve Integration

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week	Subject	Description
1	Computational and Mathematical Preliminaries
2	Stability and Taylor Theorem
3	Newton's method for non-linear systems
4	The solution of linear systems: Direct methods
5	The solution of linear systems: Error Analysis and Norms
6	The solution of linear systems: Iterative methods
7	The solution of linear systems: Algebraic Eigenvalue Problem
8	Midterm
9	Curve Fitting: The method of Least Squares
10	Curve Fitting: Interpolation
11	Numerical Differentiation
12	Numerical Integration

Recomended or Required Reading

John H. Mathews ''Numerical Methods for Mathematics, Science and Engineering''. Prentice-Hall. 1992.

Planned Learning Activities and Teaching Methods

Lecture notes, Presentation, Problem solving

Assessment Methods

SORTING NUMBER	SHORT CODE	LONG CODE	FORMULA
1	MTE	MIDTERM EXAM
2	FIN	FINAL EXAM
3	FCG	FINAL COURSE GRADE	MTE * 0.50 + FIN * 0.50
4	RST	RESIT
5	FCGR	FINAL COURSE GRADE	MTE * 0.50 + RST * 0.50

*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

Attending at least 70 percent of lectures is mandatory.

Contact Details for the Lecturer(s)

sennur.somali@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Lectures	13	3	39
Preparations before/after weekly lectures	13	8	104
Preparation for midterm exam	1	35	35
Preparation for final exam	1	35	35
Midterm	1	3	3
Final	1	3	3
TOTAL WORKLOAD (hours)			219

Contribution of Learning Outcomes to Programme Outcomes

PO/LO	PO.2	PO.4	PO.5	PO.8	PO.9	PO.10
LO.1		4
LO.2					3
LO.3				4	4	3
LO.4
LO.5			4
LO.6		3
LO.7	3

COURSE UNIT TITLE

DEGREE PROGRAMMES

Description of Individual Course Units

Offered By

Level of Course Unit

Course Coordinator

Offered to

Course Objective

Learning Outcomes of the Course Unit

Mode of Delivery

Prerequisites and Co-requisites

Recomended Optional Programme Components

Course Contents

Recomended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods

Further Notes About Assessment Methods

Assessment Criteria

Language of Instruction

Course Policies and Rules

Contact Details for the Lecturer(s)

Office Hours

Work Placement(s)

Workload Calculation

Contribution of Learning Outcomes to Programme Outcomes

CONTACT INFORMATION