Just as your question suggests, I don't have exhaustive answer, but something to start with.
Once you are done with the core courses (or even alongside with those in some schools) you will be able to pick up electives to focus on your area of interest. I bet it's organized differently in each school, it could be by departments or by Knowledge Domains that draw from various Departments, and the names for domains and courses will be different. In GWSB they have these Knowledge Domains. Consulting falls under Strategic Management and Public Policy domain.
Their Suggested Coursework (
https://business.gwu.edu/grad/pmba/domains/smpp.html):
Business Government Relations
Business Representation & Lobbying
Applied Microeconomics
Environmental, Energy, Technology & Society
Macroeconomic Policy & Business
Seminar Business Econ & Public Policy
Strategic Environmental Management
Management of Strategic Issues
Sustainable Communities and Organizations
Consulting Process
Ethics & Business
American Business History
Hope this will get you started.