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Partial differential equations 1

Code: 45675
ECTS: 5.0
Lecturers in charge: prof. dr. sc. Nenad Antonić - Lectures
Lecturers: Matko Grbac, mag. math. - Exercises
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 15
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: Introduce students to models which lead to partial differential equations, and to basic properties and classical methods of solving partial differential equations.

COURSE DESCRIPTION AND SYLLABUS:
[1-4] Examples of partial differential equations, classification by linearity, notion of well-posed problem, elementary methods for solving.
[5-8] Characteristics, equations of first order, classification, solutions in the form of power series, Holmgren's uniqueness theorem.
[9-12] Maximum principles, mean value theorems, monotonicity.
Literature:
  1. L. C. Evans: Partial differential equations (2nd ed)
  2. J. Rauch: Partial differential equations
  3. S. Salsa: Partial differential equations in action: From modelling to theory
  4. I. Aganović, K. Veselić: Linearne diferencijalne jednadžbe
  5. G. B. Folland: Introduction to partial differential equations
  6. F. John: Partial differential equations
  7. M. Renardy, R. C. Rogers: An introduction to partial differential equations
  8. Yu. V. Egorov, M. A. Shubin (ed): Partial differential equations I
1. semester
Izborni predmet 1, 2, 3, 4 - Regular study - Mathematical Statistics

2. semester
Izborni predmet 1, 2, 3, 4 - Regular study - Mathematical Statistics

3. semester
Izborni predmeti 5, 6, 7 - Regular study - Mathematical Statistics

4. semester
Izborni predmeti 5, 6, 7 - Regular study - Mathematical Statistics
Consultations schedule:
  • prof. dr. sc. Nenad Antonić:

    Monday 2-3 pm

    Tuesday noon-1pm

    or by appointment

    Location: 218

Content

Link to the course web page: https://web.math.pmf.unizg.hr/~nenad/pdj.html


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