Course: Differential Equations

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Course title Differential Equations
Course code UMB/581
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Frequency of the course In each academic year, in the winter semester.
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Eisner Jan, Mgr. Dr.
  • Křivan Vlastimil, prof. RNDr. CSc.
Course content
1. Boundary value problems for ODE 2. Fourier series. 3. Diffusion equation in R. 4. Diffusion equation with boundary conditions. 5. Wave equation, D'Alembert solution 6. Wave equation with boundary conditions. 7. Laplace equation 8. Linear partial differential equations 9. Sturm-Liouville problem.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), E-learning
  • Class attendance - 42 hours per semester
  • Preparation for classes - 42 hours per semester
  • Preparation for exam - 42 hours per semester
Learning outcomes
Introduction to boundary value problems.
Studens will be able o formulate, analyse, and solve elementary boundary value problems.
Prerequisites
Students are expected to know basics of differential equations at the level of the course UMB587 Introduction to differential equations
UMB/CV587
----- or -----
UMB/587 and UMB/565

Assessment methods and criteria
Written examination, Interim evaluation

1. Attendance at least 80% 2. Score at least 50% from tests written during semester
Recommended literature
  • P. Drábek, G. Holubová: Parciální diferenciální rovnice, ZČU Plzeň, 2001..
  • S. Míka, A. Kufner: Parciální diferenciální rovnice I, MVŠT 20, SNTL, Praha 1983..
  • J. Kopáček. Matematika nejen pro fyziky III. Praha matfyzpress, 2007.
  • S. Míka, A. Kufner. Okrajové úlohy pro obyčejné diferenciální rovnice. Praha SNTL, 1983.
  • William F. Trench. Elementary Di erential Equations with Boundary Value Problems.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (2012) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Mathematics (2010) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter