a detailed description of the project "scope of work," including any assumptions made.

The Scope of work is the statement that describes in detail, all the work you will do. For example if you are planning a wedding and need to get flowers, food and a DJ. The scope of work (sow) would be something like this:

Research flower companies, make a short list, visit the companies, select one company, order flowers.

Research catering companies, make a short list, visit the companies, select a caterer, choose your menuand so on