Methods of Mathematical Physics

Major: Applied Physics and Nanomaterials
Code of subject: 6.105.00.O.059
Credits: 4.00
Department: Mathematics
Lecturer: Vitalij Lozben'
Semester: 5 семестр
Mode of study: денна
Learning outcomes: As a result of the study of the discipline, the student must be able to demonstrate the following learning outcomes: 1. Learn to classify partial differential equations of the nth order. 2. Be able to classify partial differential equations of the 2nd order of two variables. 3. Learn to solve the Cauchy problem for hyperbolic equations. 4. Learn the Fourier method for hyperbolic and parabolic equations. 5. To solve the Laplace and Poisson equations.
Required prior and related subjects: Linear Algebra and Analytic Geometry. Mathematical Analysis. Differential Equations. Discrete Mathematics.
Summary of the subject: The academic discipline "Equations of mathematical physics" consists of the following sections: "Introduction to equations of mathematical physics", "Hyperbolic partial differential equations", "Parabolic partial differential equations", "Elliptic partial differential equations".
Assessment methods and criteria: Student knowledge testing is carried out by means of oral questioning in practical classes, control and independent work in the virtual of learning environment, the terminologicals of dictations, individual calculation and graphic works. Current control - 30 points; Examination Control - 70 points; Total for discipline - 100 points.
Recommended books: 1. Рудавський Ю.К. та інші. Рівняння математичної фізики. Узагальнені розв'язки крайових задач. – Львів: «Львівська політехніка», 2002. – 214 с. 2. Бобик О.І., Бобик І.О., Литвин В.В. Рівняння математичної фізики. – Львів: «Новий світ -2000» 2010. – 252с. 3. Маркович Б.М. Рівняння математичної фізики: навч. посібник. – Львів: Видавництво Національного університету "Львівська політехніка", 2010. – 384 с. 4. Бицадзе А.В., Калиниченко Д.Ф. Сборник задач по уравнениям математической физики. – М.: "Наука", 1977, – 224 с.