COURSE UNIT TITLE

: NUMERICAL AND APPROXIMATE METHODS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 5002 NUMERICAL AND APPROXIMATE METHODS ELECTIVE 3 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

ASISTANT PROFESSOR ÇETIN DIŞIBÜYÜK

Offered to

INDUSTRIAL ENGINEERING - NON THESIS (EVENING PROGRAM
PHYSICS
Computer Engineering Non-Thesis
COMPUTER ENGINEERING
ENVIRONMENTAL SCIENCE
Statistics
Environmental Engineering
GEOGRAPHICAL INFORMATION SYSTEMS
ENVIRONMENTAL TECHNOLOGY
Logistics Engineering (Non-Thesis-Evening)
ENVIRONMENTAL EARTH SCIENCES
COASTAL ENGINEERING
Mathematics
PHYSICS
NATURAL BUILDING STONES AND GEMSTONES
GEOGRAPHICAL INFORMATION SYSTEMS - NON THESIS (EVENING PROGRAM)
PHYSICAL OCEANOGRAPHY
MARINE GEOLOGY AND GEOPHYSICS
STATISTICS
Applied Geology
Computer Engineering
NAVAL ARCHITECTURE
MARINE LIVING RESOURCES
Mineral Processing
Economic Geology
Economic Geology
Industrial Ph.D. Program In Advanced Biomedical Technologies
Chemistry
Geothermal Energy
ENVIRONMENTAL EARTH SCIENCES-NON THESIS
MARINE CHEMISTRY
Mining Operation
ENVIRONMENTAL ENGINEERING
MARINE LIVING RESOURCES
EARTHQUAKE MANAGEMENT - NON THESIS
Mathematics
COASTAL ZONE MANAGEMENT
Computer Engineering Non-Thesis
UNDERWATER ARCHAELOGY
M.Sc.
GEOGRAPHIC INFORMATION SYSTEMS
M.Sc. Geothermal Energy (Non-Thesis-Evening)
EARTHQUAKE MANAGEMENT
COASTAL ENGINEERING
Geographical Information Systems (Non-Thesis)
Mining Operation
Textile Engineering
M.Sc. Textile Engineering
MARINE TRANSPORTATION SYSTEMS ENGINEERING
M.Sc. Biomedical Tehnologies (English)
ENVIRONMENTAL SCIENCES
ENGINEERING MANAGEMENT- NON THESIS (EVENING PROGRAM)
Applied Geology
Mineral Processing
INDUSTRIAL DOCTORATE DEGREE ADVANCED BIOMEDICAL TECHNOLOGIES
BIOTECHNOLOGY
Logistics Engineering
MARINE CHEMISTRY
NAVAL ARCHITECTURE
MARINE GEOLOGY AND GEOPHYSICS
ENVIRONMENTAL TECHNOLOGY
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 exact or approximate solution of equations.
3   Will be able to find exact or approximate solution of system of equations.
4   Will be able to find a nearest curve to a function that lies on a different space.
5   Will be able to solve Numeriacal Differentiation and Integration
6   Will be able to understand the algorithms for solving initial value problems or boundary value problems of ordinary differential equations.
7   Will be able to understand the algorithms for solving partial differential equations.

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 Newton's method for non-linear systems
3 The solution of linear systems: Direct methods
4 The solution of linear systems: Error Analysis and Norms
5 The solution of linear systems: Iterative methods
6 The solution of linear systems: Algebraic Eigenvalue Problem
7 Midterm
8 Curve Fitting: The method of Least Squares
9 Curve Fitting: Fourier Series and Trigonometric Polynomials
10 Numerical Solutions of ODEs: Initial Value Problems
11 Numerical Solutions of ODEs: Boundary Value Problems
12 Numerical Solutions of PDEs: Hyperbolic Equations
13 Numerical Solution of PDEs: Parabolic Equations
14 Numerical Solution of PDEs: Elliptic Equations

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

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)

meltem.adiyaman@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 5 65
Preparation for midterm exam 1 25 25
Preparation for final exam 1 35 35
Midterm 1 3 3
Final 1 3 3
TOTAL WORKLOAD (hours) 170

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.1111111111111
LO.2111111111111
LO.3111111111111
LO.4111111111111
LO.5111111111111
LO.6111111111111
LO.7111111111111

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2012 DEÜ. BİD

HOME / INFORMATION ON THE INSTITUTION / DEGREE PROGRAMMES / INFORMATION FOR STUDENTS / LLP/ERASMUS