According to WikiPedia:
Scrum is an iterative, incremental framework for project management often seen in agile software development, a type of software engineering.
Although the Scrum approach was originally suggested for managing product development projects, its use has focused on the management of software development projects, and it can be used to run software maintenance teams or as a general project/program management approach.Here is a video that talks about scrum and what the scrum master does:
Now for RUP and what WikiPedia says:
The Rational Unified Process (RUP) is an iterative software development process framework created by the Rational Software Corporation, a division of IBM since 2003. RUP is not a single concrete prescriptive process, but rather an adaptable process framework, intended to be tailored by the development organizations and software project teams that will select the elements of the process that are appropriate for their needs.
Here is a video that talks about RUP here: