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 5112 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 HALIL ORUÇ

Offered to

COASTAL ENGINEERING
MARINE LIVING RESOURCES
NAVAL ARCHITECTURE
COASTAL ENGINEERING
COASTAL ZONE MANAGEMENT

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 numerical 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 Methods for non-linear equations and systems
4 Solution of linear systems: Direct methods
5 Solution of linear systems: Error Analysis and Norms
6 Solution of linear systems: Iterative methods
7 Algebraic Eigenvalue Problem
8 problems adn discussion
9 Singular Value Decomposition
10 Curve Fitting: The method of Least Squares
11 Curve Fitting: Interpolation
12 Bezier Curves
13 Numerical Differentiation
14 Numerical Integration

Recomended or Required Reading

Numerical Analysis: Mathematics of Scientific Computing (Pure and Applied Undergraduate Texts) 3rd ed. D. Kincaid, W. Cheney; AMS Pub.
ISBN-10 0821847880
ISBN-13 978-0821847886

Numerical Analysis, 10th ed. Cengage Learning Pub. by R. Burden, R. Faires.
ISBN-13 9781305253667
ISBN-10 1305253663

Numerical Analysis 3rd Edition Person Pub. T. Sauer
ISBN-13: 978-0134696454
ISBN-10: 9780134696454

Nümerik Analiz, Bilimsel Hesaplama Matematiği, D. Kincaid, W. Cheney;çeviri Gazi kitabevi ISBN: 9786054562381

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

Turkish

Course Policies and Rules

Attending at least 70 percent of lectures is mandatory.

Contact Details for the Lecturer(s)

halil.oruc@deu.edu.tr
Fen Fakültesi Matematik Bölümü B205
Tel (232) 3018577

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 12 4 48
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) 166

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.144411244134
LO.244411244134
LO.355511245144
LO.455511245144
LO.555511245144
LO.655511245144
LO.755511245144

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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