PřF:M8110 Partial Diff. Equations - Course Information
M8110 Partial Differential Equations
Faculty of ScienceAutumn 2010
- Extent and Intensity
- 2/2/0. 4 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Ladislav Adamec, CSc. (lecturer)
- Guaranteed by
- prof. Alexander Lomtatidze, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Tue 16:00–17:50 M3,01023
- Timetable of Seminar Groups:
- Prerequisites
- M5160 Ord. Differential Equations I
Differential and integral calculus in several veriables, basic methods for solving ordinary differential equations. - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Finance Mathematics (programme PřF, N-AM)
- Mathematics (programme PřF, N-MA)
- Course objectives
- Students will acquire techniques necessary for formulating and solving problems using partial differential equations in classical and modern setting. At the end of this course, students will be able to understand the structure and behaviour of the four fundamental linear equations of mathematical physics (Laplace's equation, Heat equation, Wave equation and transport equation) and the structure of nonlinear first order equations. Moreover students will acquire basic knowledge of Sobolev spaces and of modern technique of solution of the linear elliptic equation of second order.
- Syllabus
- Introduction
- Classification of second order equations
- Laplace's and Poisson§s equations, harmonic functions
- Fourier method
- Separation of variables
- Nonlinear first order equations - method of characteristics
- Sobolev spaces
- Second-order elliptic equations
- Literature
- Teaching methods
- Lectures (theoretical explanation with practical examples) and class exercises
- Assessment methods
- Oral exam.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught once in two years.
- Listed among pre-requisites of other courses
- M8300 Partial differential equations
!M8110 && !NOW(M8110)
- M8300 Partial differential equations
- Enrolment Statistics (Autumn 2010, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2010/M8110