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 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 ŞENNUR SOMALI

Offered to

M.Sc. in Biochemistry
Ph.D. in Biotechnology
COASTAL ENGINEERING
MARINE CHEMISTRY
Computer Engineering Non-Thesis
COMPUTER ENGINEERING
PHYSICS
Mineral Processing
Statistics
Computer Science
Industrial Ph.D. Program In Advanced Biomedical Technologies
Biomedical Tehnologies (English)
Environmental Engineering
GEOGRAPHICAL INFORMATION SYSTEMS
ENVIRONMENTAL EARTH SCIENCES
PHYSICS
NATURAL BUILDING STONES AND GEMSTONES
GEOGRAPHICAL INFORMATION SYSTEMS - NON THESIS (EVENING PROGRAM)
PHYSICAL OCEANOGRAPHY
MARINE GEOLOGY AND GEOPHYSICS
Applied Geology
STATISTICS
MARINE LIVING RESOURCES
NAVAL ARCHITECTURE
MARINE LIVING RESOURCES
Economic Geology
Chemistry
Geothermal Energy
ENVIRONMENTAL EARTH SCIENCES-NON THESIS
MARINE CHEMISTRY
Mining Operation
Ph.D. in Computer Science
ENVIRONMENTAL ENGINEERING
Mathematics
EARTHQUAKE MANAGEMENT - NON THESIS
Computer Engineering Non-Thesis
UNDERWATER ARCHAELOGY
COASTAL ZONE MANAGEMENT
Mathematics
Economic Geology
GEOGRAPHIC INFORMATION SYSTEMS
EARTHQUAKE MANAGEMENT
M.Sc. Geothermal Energy (Non-Thesis-Evening)
NAVAL ARCHITECTURE
Geographical Information Systems (Non-Thesis)
COASTAL ENGINEERING
Mining Operation
Textile Engineering
M.Sc. Textile Engineering
Ph.D. in Occupational Health and Safety
Ph.D in Biochemistry
INDUSTRIAL ENGINEERING - NON THESIS (EVENING PROGRAM)
ENGINEERING MANAGEMENT- NON THESIS (EVENING PROGRAM)
Computer Engineering
Applied Geology
Mineral Processing
Occupational Healty and Safety
BIOTECHNOLOGY
Logistics Engineering
MARINE GEOLOGY AND GEOPHYSICS
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 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/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.14
LO.23
LO.3443
LO.4
LO.54
LO.63
LO.73

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

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