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I am currently taking the electricity and magnetism portion of introductory physics (calculus based). I am enjoying every moment of it.

I am not sure if a double major is viable. Since I am going to a state school, my tuition is waived, and I got a few scholarships. Therefore, my Bachelors will be free and I would not have to work during this time.

I like both math and physics. I lean more towards Pure Mathematics, but I do like some applied math. I know that a math major is very hard. It requires a lot of hard work. I am not sure whether adding a physics major will make it impossible.

I want to go to graduate school for mathematics. My career goals are to maybe work in industry. Not sure what industry sector. I would later like to teach both Math and Physics at the community college level. Mathematical Physics is something that is intriguing to me. I had a college professor who had a lasting impact on me. He had 2 Phd's in Math/Physics. Gave us the rigor but did not forget the intuition. He said that learning physics helped him better understand the mathematics he was doing. I believe that he was an amazing teacher, because he was able to see ideas from 2 different view points.

Should I just add physics courses I find interesting. Or will a double major in math and physics be beneficial in the long run? I plan to continue studying until my brain gives out.