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

PROFESSOR DOCTOR BAŞAK KARPUZ

Offered to

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

Course Objective

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 (Part 1)
2	Computational and Mathematical Preliminaries (Part 2)
3	Stability and Taylor's Theorem
4	Root finding algorithms: Bisection, Fixed-Point iteration
5	Root finding algorithms: Newton-Raphson, Secant method
6	The solution of linear systems: Triangular systems, Gauss elimination
7	The solution of linear systems: LU factorization, Tridiagonal systems
8	The solution of linear systems: Iterative methods, Jacobi, Gauss-Seidel
9	The solution of linear systems: Diagonally dominant matrices
10	The solution of linear systems: Algebraic eigenvalue problem
11	Curve fitting: The method of least squares
12	Curve fitting: Interpolation
13	Numerical differentiation
14	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

Assessment Methods

SORTING NUMBER	SHORT CODE	LONG CODE	FORMULA
1	MTE	MIDTERM EXAM
2	FIN	FINAL EXAM
3	FCG	FINAL COURSE GRADE	MTE * 0.40 + FIN * 0.60
4	RST	RESIT
5	FCGR	FINAL COURSE GRADE (RESIT)	MTE * 0.40 + RST * 0.60

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)

basak.karpuz@deu.edu.tr

Office Hours

To be announced

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Lectures	14	3	42
Preparations before/after weekly lectures	14	7	98
Preparation for midterm exam	1	31	31
Preparation for final exam	1	37	37
Midterm	1	2	2
Final	1	3	3
TOTAL WORKLOAD (hours)			213

Contribution of Learning Outcomes to Programme Outcomes

PO/LO	PO.3	PO.4	PO.6	PO.7	PO.9	PO.11	PO.12	PO.13
LO.1					3		3
LO.2			4
LO.3								4
LO.4				3		3
LO.5		4
LO.6
LO.7	4

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