714-0925 – Classical Methods of Solution of Partial Differential Equations (PDR)
| Gurantor department | Department of Mathematics and Descriptive Geometry |
| Subject guarantor | doc. RNDr. Jarmila Doležalová, CSc. |
| Study level | postgraduate |
Subject aims expressed by acquired skills and competences
Main study goals:
(i) to be acquainted with actual progress in this mathematical discipline,
(ii) to extend needed theoretical knowledge with emphasized orientation to its applicability,
(iii) to increase communication ability of specialists in different branches.
With regard to professional orientation of students learning themes modification is offered to fulfill presented aims.
Teaching methods
Lectures
Individual consultations
Tutorials
Project work
Summary
Fourier series: orthogonal functions, Fourier coefficients, even and odd
functions, convergence of the Fourier series, complex form, solution of second
order linear differential equations.
Partial differential equations: general discussion, first-order and second-
order
partial differential equations (initial and boundary conditions, methods of
solution), second-order linear partial differential equations (method of the
characteristics, method of separation of variables), the wave equation, the
heat-conduction equation, the Laplace equation, Maxwell's equations.
Compulsory literature:
Recommended literature:
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.