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Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Potential Theory In Geophysics JFZ317 Elective Bachelor's degree 3 Fall 3

Name of Lecturer(s)

Prof. Dr. Bülent ORUÇ
Prof. Dr. İbrahim SERTÇELİK
Associate Prof. Dr. Tekin YEKEN

Learning Outcomes of the Course Unit

1) Define the definition and properties of potential, material and force fields.
2) Explain the physical meaning of vectorel analysis in spherical and cylindirical coordinate systems.
3) Solve the Green Identities, Divergance and Stoke’s Theorems.
4) Explain the Newton’s Law for continuously distributed bodies.
5) Analyse the Spherical Harmonic Analysis.
6) Use the Line, Surface and Volume Integrals in Spherical and Sylindirical Coordinate Systems

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7 8 9 10 11
Learning Outcomes
1 Middle Middle Low Low No relation No relation No relation No relation No relation No relation No relation
2 Middle Middle Low No relation No relation No relation No relation No relation No relation No relation No relation
3 Middle Middle Low No relation No relation No relation No relation No relation No relation No relation No relation
4 Middle Middle No relation No relation No relation No relation No relation No relation No relation No relation No relation
5 Middle Middle No relation No relation No relation No relation No relation No relation No relation No relation No relation
6 Middle Middle No relation No relation No relation No relation No relation No relation No relation No relation No relation

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

MUH203 Numerical Methods

Course Contents

This course covers; What is the potential field? Definitions and properties of the “material” and “force” fields, vector differantiation and orthogonal coordinate systems, vectorel analysis in spherical and cylindirical koordinate systems,integration in vectorel functions, line, surface and volume integrals, energy, work and potential concepts and excercises, equapotential surfaces, harmonic functions, one, two and three dimentional Laplace’s Equation and their physical meanings,steady state heat flow, consequences of potential, Green’s Identities (first, second and third),divergance and Stoke’s Theorems, forces due to special bodies. fields of force and other vector fields, lines of force, the force of gravity and potential, Newton’s Law, Newton’s Law for continuously distributed bodies, spherical harmonic analysis.

Weekly Schedule

1) x
2) x
3) x
4) x
5) x
6) x
7) x
8) x
9) x
10) x
11) x
12) x
13) x
14) x
15) x
16) x

Recommended or Required Reading

1- Blakely, R.J., 1995, Potential Theory in Gravity and Magnetic Applications. Cambridge, UK, Cambridge University Press, 411 p.
2- Kumar, R.K. 2008. Potential Theory in Applied Geophysics. Springer-Verlag Berlin Heidelberg, 651 p.
3- Alpmen, M., Akpınar, H.1987. Jeofizikte Potansiyel Teori ve Uygulamaları. Yıldız Ün. Kocaeli Müh.Fak., Jeofizik Müh. Ders Notları, 80 s.

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice


Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade

40%

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required