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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Mathematics 4B

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Code Completion Credits Range Language
101MT4B Z,ZK 4 2P+2C
Lecturer:
Ondřej Zindulka (guarantor), Jan Chleboun
Tutor:
Ondřej Zindulka (guarantor), Jan Chleboun
Supervisor:
Department of Mathematics
Synopsis:

1. Eigenvalues and eigenvectors of matrices.

2. Ordinary linear differential equations - basic properties.

3. Boundary value problems for second order differential equations; eigenvalues and eigenfunctions.

4. Solvability of boundary value problems for second order linear differential equations.

5. Solving of second order ordinary differential equations by the finite difference method.

6. Introduction to the theory of linear partial differential equations of the second order.

7. Boundary conditions for partial differential equations and their physical interpretation.

8. Finite difference method for the Poisson equation.

9. Finite difference method for the heat equation - explicit scheme.

10. Mathematical modeling of heat transfer between two bodies with different material properties.

11. Variational formulation of boundary value problems for ordinary differential equations.

12. Finite element methods for solving the second order ordinary differential equations.

13. Fourier method for the solution of the heat equation.

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:

[1] Rektorys, K.: Variational methods in mathematics, science and engineering. Translated from the Czech by Michael Basch. Second edition. D. Reidel Publishing Co., Dordrecht-Boston, Mass., 1980.

[2] Rektorys, K.: Survey of applicable mathematics. Vol. II. Mathematics and its Applications, 281. Kluwer Academic Publishers Group, Dordrecht, 1994.

[3] Bubeník, F.: Mathematics for Engineers, textbook of Czech Technical University, Prague 2007

Note:
Time-table for winter semester 2019/2020:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Fri
roomTH:B-975

13:00–14:50
(lecture parallel1)
Thákurova 7 (FSv-budova A)
B975
roomTH:B-975

15:00–16:50
(lecture parallel1
parallel nr.101)

Thákurova 7 (FSv-budova A)
B975
Thu
Fri
Time-table for summer semester 2019/2020:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
roomTH:B-369

11:00–12:50
(lecture parallel1
parallel nr.101)

Thákurova 7 (FSv-budova A)
B369
roomTH:B-369

14:00–15:50
(lecture parallel1)
Thákurova 7 (FSv-budova A)
B369
Fri
Thu
Fri
The course is a part of the following study plans:
Data valid to 2020-04-06
For updated information see http://bilakniha.cvut.cz/en/predmet25026205.html