This talk is devoted to the concept of Time Scales and Dynamic Equations. The general idea of Dynamic Equations on Time Scales is to consider equations where the domain of the unknown function is a so-called time scale, which is an arbitrary closed subset of the reals. In this way, results apply not only to the set of all real numbers (as for classical differential equations) or to the set of all integers (as for difference equations), but to more general time scales, such as a Cantor set. Dynamic Equations on Time Scales have many applications. After some basic definitions, we discuss some models in biology and economics to see how we can benefit from modelling on time scales. Then we characterize the concepts of exponential dichotomy or hyperbolicity for Dynamic Equations on Time Scales, and prove the well-known Perron Theorem and Shadowing Theorem in this context.