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JFZ5270 | Potential Theory | 3+0+0 | ECTS:7.5 | Year / Semester | Fall Semester | Level of Course | Second Cycle | Status | Elective | Department | DEPARTMENT of GEOPHYSICAL ENGINEERING | Prerequisites and co-requisites | None | Mode of Delivery | Face to face | Contact Hours | 14 weeks - 3 hours of lectures per week | Lecturer | Prof. Dr. Aysel ŞEREN | Co-Lecturer | None | Language of instruction | Turkish | 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 Outcomes | CTPO | TOA | 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 theory | 1,2 | | 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 | |
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. |
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Method of Assessment | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | Mid-term exam | 8 | | 2 | 50 | End-of-term exam | 16 | | 2 | 50 | |
Student Work Load and its Distribution | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | | | |
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