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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of GEOPHYSICAL ENGINEERING
Masters with Thesis
Course Catalog
http://www.muhfak.ktu.edu.tr/jeofizik/
Phone: +90 0462 3772710
FBE
GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of GEOPHYSICAL ENGINEERING / Masters with Thesis
Katalog Ana Sayfa
  Katalog Ana Sayfa  KTÜ Ana Sayfa   Katalog Ana Sayfa
 
 

JFZ5270Potential Theory3+0+0ECTS:7.5
Year / SemesterFall Semester
Level of CourseSecond Cycle
Status Elective
DepartmentDEPARTMENT of GEOPHYSICAL ENGINEERING
Prerequisites and co-requisitesNone
Mode of DeliveryFace to face
Contact Hours14 weeks - 3 hours of lectures per week
LecturerProf. Dr. Aysel ŞEREN
Co-LecturerNone
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
Potential theory course will be viewed as the mathematical treatment of the potential-energy functions used in physics to study gravitation. Vectoral and Scalars, Vectoral Determinations, Gravity, and Equapotential Surface, Gauss and Green integral formulas and their applications, Harmonic functions, Stokes theorem and Drichlet Principle, Spherical Surface Harmonics, Legendre Functions, Drichlet Problem solution by means of Spherical Surface Harmonics, Boundary problems for Sphere and Ellipsoid in Potential Theory.
 
Programme OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
PO - 1 : introduced Newton's second law of motion and concluded with topics on state-of-the-art interpretations of gravity and magnetic data.1,2
PO - 2 : learn the Scalar Potential Field and the Gravitational Field 1,2
PO - 3 : describe fundamental concepts in potential theory1,2
PO - 4 : learn Harmonic function, Scalar Potential and Vector Potential in this course.1,2
PO - 5 : discuss potential theory, with emphasis on those aspects important to earth scientists, such as Laplace's equation.1,2
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome

 
Contents of the Course
The course will be discussed potential theory, with emphasis on those aspects important to earth scientists, such as Laplace's equation, Newtonian potential, magnetostatic and electrostatic fields, conduction of heat, and spherical harmonic analysis. Difficult concepts are illustrated with easily visualized examples from steady-state heat flow. Many of these examples are drawn from the modern geophysical literature. Topics include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis.
 
Textbook / Material
 
Recommended Reading
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 8 2 50
End-of-term exam 16 2 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term