I’ll start by saying that I know I don’t need to know exactly what my major is yet (I’m only in highschool).
For the past few years of my life, I’ve been dead set on being a pure math major. However, recently in my chemistry class we covered the chapter on electrochemistry and it was fascinating. Then I was helping my friend with his physics homework, specifically on electricity, and I’m not in physics but I was able to easily pick up the concepts and help him. Now I know I’m gonna take physics next year as well as an electromagnetism course (my school has special electives like that), but I’ve been dying to learn more physics because it’s fascinating to me, especially electricity. In fact, I’ve considered electrical engineering to be the one engineering major I’d pick just because of it’s heavy math requirements, aka before I was fascinated with electricity. One of my teachers also said that electrochemistry doesn’t really come back up in detail until graduate school. I know I want to get both a bachelor’s and a doctorate degree, but I don’t know whether I want to major pure math, theoretical physics with a speciality in electricity, or electrical engineering. I don’t know what opportunities each would bring me. I’ll probably have a clearer answer after I take physics next year, but I’d at least like to have a clearer answer from anyone who knows specific details of these majors.