Introducing students to fundamental methods of analysis and modeling of physical and engineering problems.

Students acquire knowledge on analysis and design of engineering systems. In particular, they got a working knowledge of asymptotic methods and their application in engineering problems.

Basic modeling techniques. Units, dimensions and dimensional analysis. Asymptotic approximations. Application of asymptotic techniques in engineering - boundary layer. Multiple scales. The method of homogenization. Case studies.

Lectures, auditory/computer exercises. During the lectures fundamental methodological and practical aspects of modeling are presented. In practical classes acquired theoretical and methodological knowledge is applied in the analysis and modelling of physical and engineering systems. Special attention is paid to independent student work in case studies of actual physical and engineering systems and the use of computer in the analysis of mathematical models.