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Equations of Mathematical Physics

YMX8140
Mathematics and Statistics

About this course

Derivation of partial differential equations from laws of physics. Elliptic, parabolic and hyperbolic equation. Concepts of the solution. Classification and canonization of equations of 2nd order. Problems of mathematical physics. Initial and boundary conditions. Cauchy problem, boundary value problems. Well- and ill-posed problems. Analytical methods of solution. Method of coordinates and characteristics. Fundamental solution. Operator method. Fourier method. Method of integral transforms.

NB! This course will take place in autumn semester 2024/2025 which starts on 2nd of September and ends 26th of January (you can find that information under Start date section). The real course start and end dates will be announced at the beginning of September at the latest.

Learning outcomes

When finished the course the student: • is able to formulate main notions of theory of partial differential equations knows foundations of the theory of partial differential equations, • knows classification of partial differential equations and main problems, • solves main types of the partial differential equations.

Examination

Final assessment can consist of one test/assignment or several smaller assignments completed during the whole course. After declaring a course the student can re-sit the exam/assessment once. Assessment can be graded or non-graded. For specific information about the assessment process please get in touch with the contact person of this course. For specific information about grade transfer please contact your home university

Course requirements

The main part of the course takes place in hybrid mode, but 4 assessments must be taken on campus at TalTech.

The possibilities are following:

  1. 2 assessments in the middle of the semester;
  2. 2 assessments at the end of the semester;
  3. all 4 assessments at the end of the semester.

Specific dates are to be determined.

Activities

lectures, exercises

Link to more information

  • Credits
    ECTS 6
  • Level
    Master
  • Contact hours per week
    4
  • Instructors
    Jaan Janno
  • Mode of instruction
    Blended
  • Course coordinator
If anything remains unclear, please check the FAQ of TalTech (Estonia).

Offering(s)

  • Start date

    2 September 2024

    • Ends
      26 January 2025
    • Term *
      Fall semester 2024
    • Instruction language
      English
    • Register between
      14 May - 29 Jul 2024
    Apply now
These offerings are valid for students of CTU (Czech Republic)