These are notes from introductory survey lectures given at the Institute for Studies in Theoretical Physics and Mathematics (IPM), Teheran, in 2008 and 2010. We present the definition and the fundamental properties of Fomin-Zelevinsky’s cluster algebras. Then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generator...

Chemistry education involves research, theory and practices while studying the process of teaching learning chemistry content, so, it belongs to social sciences. As an established research field, has a relatively short history, starting in 1970s. Recently, shown that many graduates are now working various organizations positions other than schools as teachers. Such include; banking managerial p...