- Swear and curse are quite synonymous. Both imply using profane language.
- Reprimand means you're reproaching someone, typically with having authority over that person (like teacher vs. pupil, boss vs. employee)
- Scold means you're reproaching someone, typically loudly
- "Give a piece of my mind" means that I'm going to speak to someone in an angry way.
If you're thinking about whether you can use all of these interchangeably, the answer is no. They have different situations where each should be used.
As a high-level distinction, you can also think that swearing and cursing may sometimes be acts not targeted at anyone, and without merit. For example, I may curse (myself or the man in the sky) for accidentally hitting my finger with a hammer.
With the rest of them, you have someone you are trying to lecture and you typically have an opinion of how things should be taken care of.