Course title  Geometric Theory of Partial Differential Equations I 

Course code  MU/03258 
Organizational form of instruction  Lecture + Lesson 
Level of course  Master 
Year of study  not specified 
Semester  Winter 
Number of ECTS credits  6 
Language of instruction  Czech 
Status of course  Compulsoryoptional 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Course availability  The course is available to visiting students 
Lecturer(s) 


Course content 
The jet spaces, total derivatives, prolongation of differential equations. Point transformations, infinitesimal symmetries and their computation. Integration of ODEs and reduction using symmetries. Invariant solutions. Higher (generalized) symmetries. Evolutionary derivations and evolutionary form of a higher symmetry. The Lie bracket of symmetries. Point and contact symmetries as special cases of higher symmetries.

Learning activities and teaching methods 
unspecified 
Recommended literature 

Study plans that include the course 
Faculty  Study plan (Version)  Branch of study Category  Recommended year of study  Recommended semester 

Mathematical Institute in Opava  Mathematical Analysis (1IVT)  Mathematics courses  5  Winter 
Mathematical Institute in Opava  Mathematical Analysis (1)  Mathematics courses  2  Winter 
Mathematical Institute in Opava  Geometry and Global Analysis (1)  Mathematics courses  2  Winter 