Not to be rude, but the purposes of political sciences is easy to grasp and important. From structuring aid and refugee program, to making policies that affect our every day lives, to researching and working on issues related to economic competitiveness, treaties, and resources. you can read latest articles to get some ideas. [1]

Plus Economics, Law, and Political Science are strictly separate sciences just like chemistry and physics are not strictly separated sciences. I think the figuring out what a mathematician does is more difficult, but also still understandable and important. [1]: https://www.cambridge.org/core/journals/political-science-re...