COURSE UNIT TITLE

: MODELLING IN MARINE ENVIRONMENT II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
PHO 5038 MODELLING IN MARINE ENVIRONMENT II 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

Offered to

PHYSICAL OCEANOGRAPHY

Course Objective

This course is a bridge between mathematics and numerical modelling. The student which has no mathematical background, find the the principles of applied methamatics and dynamics oceanography, extend them in a natural and systematic manner to numerical methods. It motivates the student and illustrates the methods with solutions to numerious practical problems drawn from civil engineering and oceanography.

Learning Outcomes of the Course Unit

1   refresh the knowledge of the mathematics
2   compare the analytic solutions with the numerical solutions of the mathematical equations
3   understand the principles of applied methamatics and dynamics oceanography
4   to have opportunity to remember the preliminary fundementals of mathematics and dynamical oceanography

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Review of Vector Analysis Vector Algebra Dot or Scalar Product Vector or Cross Product Divergence Theorem Stoke's Theorem
2 Matrix Preliminaries
3 Partial Differetial Equations Basic Conceps and Oceanographic Examples
4 Partial Differetial Equations The Method of Separation of Variables Initial-Value Problems
5 Partial Differetial Equations Aplications of Partial Differetial Equations
6 Numerical Methods in Linear Algebra Linear Systems: Gaus Elimination Linear Systems: Matrix Inversion
7 Numerical Methods in Linear Algebra Solution by Iteration
8 Numerical Methods in Linear Algebra Successive Overrelaxation (SOR) Method The SOR Method with Varying Relaxation Factors
9 MIDTERM
10 Numerical Methods for Solving Differential Equations Methods of First Order Differential Equations
11 Numerical Methods for Solving Differential Equations Methods of Second Order Differential Equations
12 Numerical Methods for Solving Differential Equations Numerical Methods for Elliptic Partial Differential Equations
13 Numerical Methods for Solving Differential Equations Methods for Parabolic Equations
14 Numerical Methods for Solving Differential Equations Methods for Hyperbolic Equations

Recomended or Required Reading

- Roos, Shepley L., Differential Equations, 1974, John Wiley & Sons, New York, 712p.
- Al-Khafaji, A. W. & Tooley J. R., Numerical Methods in Engineering Practice, 1986,
CBS Publishing Japan Ltd., The Dryden Press, 642p.
- Kreyszig, E., Advanced Engineering Mathematics, 1993, John Wiley & Sons, New York,
1270p.

Planned Learning Activities and Teaching Methods

Lectures will be held conventionally. Every student presents one different type of equation related to the concept of dynamical oceanography in the classroom to discuss the details of the subject.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 ASG ASSIGNMENT
2 MTE MIDTERM EXAM
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE ASG * 0.30 + MTE * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) ASG * 0.30 + MTE * 0.30 + RST * 0.40


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Prof. Dr. Erdem SAYIN
Institute of Marine Sciences and Technology
erdem.sayin@deu.edu.tr

Office Hours

will be announce at the first lecture

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparing presentations 1 10 10
Reading 10 2 20
Preparation for midterm exam 1 20 20
Preparation for final exam 1 30 30
Preparing assignments 1 40 40
Midterm 1 2 2
Final 1 3 3
TOTAL WORKLOAD (hours) 177

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.1433433333333
LO.2334343343433
LO.3323333234342
LO.4333333344433

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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