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Partial differential equations 1

Code: 45799
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. I. Aganović, K. Veselić: Linearne diferencijalne jednadžbe
  2. F. John: Partial differential equations
  3. L. C. Evans: Partial differential equations
  4. M. Renardy, R. C. Rogers: An introduction to partial differential equations
  5. G. B. Folland: Introduction to partial differential equations
  6. J. Rauch: Partial differential equations
1. semester
Izborni predmet 1 i 2 - Regular study - Financial and Business Mathematics

3. semester
Izborni predmeti 4 i 5 - Regular study - Financial and Business Mathematics
Consultations schedule:

Content

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