COURSE UNIT TITLE

: MODELLING IN MARINE ENVIRONMENT I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
PHO 5039 MODELLING IN MARINE ENVIRONMENT I 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

PROFESSOR DOCTOR ERDEM SAYIN

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 principles of applied mathematics 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 numerous 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
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 A Review of Ordinary Differential Equations First-Order Equations Explicit Methods of Solving Linear Differential Equations Higher-Order Equations Applications of Second-Order Linear Differential Equations with Constant Coefficients System of Linear Differential Equations
2 Example of Differential Equations in Physical Oceanography and their Solutions Shallow Water Equations
3 Solutions of the Shallow Water Differential Equations
4 Series Solutions of Differential Equations Power Series Solutions
5 Series Solutions of Differential Equations Frobenious Methods
6 Special Functions and Their Applications in Oceanography Bessel Functions
7 Special Functions and Their Applications in Oceanography Legendre Functions Hypergeometric Functions
8 MIDTERM
9 Boundary Value Problems Sturm-Liouville Problems
10 Boundary Value Problems Applications in Coastal Engineering
11 Fourier Series Orthogonality of Characteristic Function Fourier Series
12 Fourier Series and Their Applications in Oceanography
13 The Laplace Transforms The inverse Transform and the Convolution Laplace Transform Solution of Linear Differential Equations with Constant Coefficients Laplace Transform Solution of Linear System
14 Oceanographic Applications of the Laplace Transform Solution

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.
- Krauss, W., 1973, Dynamics of the Ocean, Gebrüder Borntraeger, Berlin, Stuttgart, 302p.
- Young, D. M., 1970, Iterative Solution of Large Linear Systems, Ed: Werner Rheinbold, Akademic Press, Inc, London, 570p.
- PrPress, W. H. , B. P. Flannery, S. A. Teukolsky & W. T. Vetterling: Numerical Recipies, Cambridge University Press, 1986

Planned Learning Activities and Teaching Methods

Lectures will be held conventionaly. 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


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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 3 39
Preparations before/after weekly lectures 13 3 39
Preparing assignments 1 40 40
Preparation for midterm exam 1 20 20
Preparation for final exam 1 30 30
Midterm 1 2 2
Final 1 3 3
TOTAL WORKLOAD (hours) 173

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
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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