Differential Equations and Mathematical Phisics Equations

Major: System Analysis
Code of subject: 6.124.00.O.028
Credits: 6.00
Department: Mathematics
Lecturer: Klapchuk M.I.
Semester: 4 семестр
Mode of study: денна
Learning outcomes: 1. Master the basic techniques of solving first-order differential equations. 2. Learn to classify and solve n-th order differential equations. 3. Solve systems of linear differential equations. 4. Be able to model physical and geometric problems and reduce them to differential equations. 5. Be able to formulate the problem of stability of differential equations. 6. Learn to classify partial differential equations of the nth order. 7. Learn to solve the Cauchy problem for equations of hyperbolic type. 8. Master the Fourier method.
Required prior and related subjects: Mathematical analysis Discrete Math Functional analysis
Summary of the subject: The discipline "Differential equations and equations of mathematical physics" consists of topics: "Differential equations of the first order", "Differential equations of higher orders", "Linear homogeneous and inhomogeneous differential equations of the nth order", "Systems of differential equations", "Elements of stability theory "," Introduction to the equations of mathematical physics "," Equations of hyperbolic type "," Equations of parabolic type "," Equations of elliptical type ".
Assessment methods and criteria: Diagnosis of students' knowledge is carried out with the help of questioning in practical classes, tests and individual work.
Recommended books: 1. Kalenyuk P.I., Rudavsky Y.K., Tatsiy R.M. etc. Differential equations: a textbook. - Lviv: Lviv Polytechnic Publishing House, 2014. (in Ukrainian) 2. Problems in differential equations: a textbook / ed. P.I. Kalenyuk.– Lviv: Lviv Polytechnic Publishing House, 2016.(in Ukrainian) 3. Musiy R.S., Oryshchin O.G., Zashkilnyak I.M., Klapchuk M.I. Differential equations and equations of mathematical physics: textbook. - Lviv: "Rastr-7", 2018. - 250 p.(in Ukrainian) 4. Bobyk O.I., Bobyk I.O., Lytvyn V.V. Equations of mathematical physics: textbook. manual. - Lviv: "Novyj Svit - 2000", 2010. - 256p.(in Ukrainian) 5. Markovic B.M. Equations of mathematical physics: textbook. manual. - Lviv: Lviv Polytechnic Publishing House, 2010. - 384 p.(in Ukrainian) 6. Methods of mathematical physics / S.S. Pikh, O.M. Popel, A.A. Rovenchak, I.I. Talyansky. — Lviv: Ivan Franko National University of Lviv, 2011. - 404 p. (in Ukrainian)