COURSE UNIT TITLE

: POTENTIAL THEORY AND ITS APPLICATIONS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
JEF 2311 POTENTIAL THEORY AND ITS APPLICATIONS COMPULSORY 2 2 0 6

Offered By

Geophysical Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR AYÇA ÇIRMIK

Offered to

Geophysical Engineering

Course Objective

Potential and field concepts, scalar and vector definitions and related relations, Vector operators (gradient, divergence, rotational), Gauss and Stokes theories, Gravity and magnetic potentials and their various applications

Learning Outcomes of the Course Unit

1   To be able to use the basic knowledge of mathematics and physics learnt in the first 2 semesters
2   To be able to use scalar and vector definitions and related relations in potential field (gravitemagnetic) applications
3   To be able to apply the vector operators (gradient, divergence, rotational) to different examples
4   To be able to use Gauss, Stokes and Green's theories in geophysical applications
5   To be able to interpret the findings obtained as a result of the application of gravity potential and gravity concept to different models in geophysics
6   By using the relationships between the magnetic potential and the components the findings obtained as a result of application to different models in geophysics be able to interpret

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 General introduction of the lecture and giving the references
2 Definitions of Vector - Scaler and Operators
3 Definitions and formula of vector and scaler, gradient-divergent-curl operators
4 Their physical descriptions and applications of the operators
5 Gauss-divergens theorem, Stokes-curl theory
6 Green theorems
7 Newton's law of gravitation, Newton potential
8 Gravitational Attraction, Linear-Surface-Volumetric Mass distributions
9 Applications to different mass and models
10 Logaritmic potential and attraction
11 Applications to different mass and models
12 Definition of dipol and magnetic potential
13 Magnetic field components and relations between them
14 Applications to known geometric shaped masses

Recomended or Required Reading

1. Pamukçu, O ve Çırmık A., 2014 Gravite ve Manyetik Uygulamalrdaki Potansiyel Kuram (in Turkish)
2. Kaufman, A., 1992, Geophysical Field Theory and Method, Part A, B, C: Academic Press, INC.
3. Blakely, J.R., Potential Theory in Gravity and Magnetic Applications, Cambridge University Pres
Supplementary Book(s):
1.Baranov, W., 1975, Potential Field and Their Transformations in Applied Geophysics: Gebrüder Borntraeger
2. Kellog, O. D., 1953, Foundation of Potential Theory: Dover Publication.
3. MacMillan, W. D., 1958, The Theory of The Potantial: Dover Publications, Inc.
4. Sigl, R., 1985, Introduction to Potential Theory: Abacus Press.
5. Sternberg, W. J. and Smith, T., 1952, The Theory of Potential and Spherical Harmonics The University of Toronto Press.

Planned Learning Activities and Teaching Methods

Lectures, presentations, homework and quiz.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.40 + ASG * 0.10 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + ASG * 0.10 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

1st-6th LOs are evaluated with midterm, homeworks, final exam and class discussions.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

ayca.cirmik@deu.edu.tr

Office Hours

Monday-Tuesday: 5th, 6th and 7th hours

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Tutorials 14 2 28
Preparations before/after weekly lectures 14 3 42
Preparation for midterm exam 1 10 10
Preparation for quiz etc. 2 2 4
Preparing assignments 2 7 14
Preparation for final exam 1 14 14
Final 1 1,5 2
Midterm 1 1,5 2
Quiz etc. 2 0,5 2
TOTAL WORKLOAD (hours) 146

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.154
LO.254
LO.344
LO.444
LO.5544
LO.6544