Ordinary Differential Equations
| Type of study | Bachelor |
|---|---|
| Language of instruction | Czech |
| Code | 470-2108/01 |
| Abbreviation | ODR |
| Course title | Ordinary Differential Equations |
| Credits | 6 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | Mgr. Bohumil Krajc, Ph.D. |
Subject syllabus
Lectures and tutorials:
-Ordinary differential equations (ODE) - motivations, models
-Definitions of the solution of ODE, solution of the Cauchy problem
-Separable ODE
-Linear ODE of the first order
-Theorems about the solvability and uniqness for solution of the Cauchy problem
-Bernoulli ODE
-Exact ODE, integration factor
-Linear ODE of the higher orders
-Homogeneous systems of ODE
-Nonhomogeneous systems of ODE, the method of the variation of constants
-Ordinary differential equations (ODE) - motivations, models
-Definitions of the solution of ODE, solution of the Cauchy problem
-Separable ODE
-Linear ODE of the first order
-Theorems about the solvability and uniqness for solution of the Cauchy problem
-Bernoulli ODE
-Exact ODE, integration factor
-Linear ODE of the higher orders
-Homogeneous systems of ODE
-Nonhomogeneous systems of ODE, the method of the variation of constants
E-learning
Literature
Advised literature
ZEIDLER, Eberhard (ed.). Oxford User's Guide to Mathematics. Oxford University Press, New York, 2004. ISBN 0-19-850763-1