Unified Modeling Language (UML) 2.0 is emerging in the area of embedded system design. This paper presents a new UML 2.0 profile - called TUT-Profile - that introduces a set of stereotypes and design rules for an application, platform, and mapping. The profile classifies different application and platform components, and enables their parameterization. TUT-Profile concentrates on the structure of an application and platform, and utilizes standard UML 2.0 for the behavioral modeling. The application is seen as a set of active classes with an internal behavior. Correspondingly, the platform is seen as a component library with a parameterized presentation in UML 2.0 for each library component.