Infopaket

FieldTheory

ВК 2.7.9

Вибіркова дисципліна для ОП

First

2023/2024

5 Semester

4

Know: basic operations on vectors, the vector function of a scalar argument and its properties; potentials of vector fields, arbitrary curvilinear coordinates and their differential characteristics; basic formulas of field theory, harmonic functions and basic approaches to performing differential operations; the basics of the theory of gravimagnetic fields, conditions for the correctness and stability of the solution of inverse problems; basic laws and boundary conditions of vectors for electric fields of direct and alternating currents; features of equations for harmonic electromagnetic fields of dipole sources and their features. Perform operations on vectors, apply various operations in the study of vector fields. Apply differential operations to analyze gravitational and magnetic fields. Use the laws of electrodynamics to study electromagnetic fields. Be able to organize teamwork to effectively solve a problem. Ukrainian

Full-time form

Knowledge of theoretical foundations of mathematics, physics and geophysical methods.

The course focuses on the basics of vector analysis. Scalar and vector fields, their classification and definitions are considered. Gravitational and permanent magnetic fields are mathematically characterized, including inverse problems in potential field theory and examples of solving inverse problems in potential fields. Electromagnetic field vectors, electric charges and currents are characterized. The basic equations of an alternating electromagnetic field are explained. The electromagnetic field energy and alternating electromagnetic fields in homogeneous media are considered.

1. Kuzmenko E.D., Reva M.V. Field Theory - Ivano-Frankivsk: IFNTUOG, 2014. 410 p. 2. Tkachenko Y.F., Fedoryshyn D.D., Fedoriv V.V., Lyzun S.O. Field theory. - Ivano-Frankivsk: Fakel, 2006. - 106 p. 3. Pierre van Baal A Course in Field Theory 1st Edition 2013 CRC Press 234 Pages 4. P. Moon,D. E. Spencer Field Theory Handbook: Including Coordinate Systems, Differential Equations and Their Solutions2nd ed. 1988 5. Steven R. (1995) Field theory.(Graduate texts in mathematics; 158) 512 p.

Lectures, practical classes and independent work of students.

The control is carried out according to the module-rating system and involves 6 practical works and 2 written module tests. The final assessment is conducted in the form of a written exam. The maximum score is 40 points, the cut-off score is 24 points. During the exam, the applicant writes a test and answers questions. The results of students' learning activities are evaluated on a 100-point scale.

Ukrainian