The subject consists of the basic parts of the ODE-s theory and practice in the following sequence:
Fundamental notions of the theory of ordinary differential equations.
Elementary methods of integration of ODE' s. Existence and uniqueness of solutions of the Cauchy problems. Linear equations. Boundary value problems. Stability approach.
Literature
W. E. Boyce, R. C. DiPrima: Elementary differential equations. Wiley, New York 1992
Advised literature
M. Braun: Differential Equations and Their Applications. Springer, Berlin 1978.