Math is many things. Math is arithmetic. Math is geometry. Math is algebra. Math is topology. Math research is proofs. Math calculation is quite different.
Physics uses math, but physics has is own set of concepts. Solid state physics uses different concepts than particle physics, and both are different than astrophysics or biophysics. A lot of learning physics is to understand those models, and only part of that is to understand the math used to make the models.
That you could calculate math doesn't mean that you could do proofs, or think like a physicist. I say the last with experience - I found as a physics graduate student that my math undergrad meant I could follow the math, but I had problems with the intent.
"what are my true abilities with math?" - My belief is that if you believe there are 'true abilities' then the first time you stumble you will start to believe that you don't have those abilities, and that will keep you from going further, when the more likely answer is that you need to practice more, and learn more, and ask for help in understanding.
Mind you, there's plenty of other things in the world besides learning math. You may decide to take up watercolors. Or waltz. Or study history.
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Math is many things. Math is arithmetic. Math is geometry. Math is algebra. Math is topology. Math research is proofs. Math calculation is quite different.
Physics uses math, but physics has is own set of concepts. Solid state physics uses different concepts than particle physics, and both are different than astrophysics or biophysics. A lot of learning physics is to understand those models, and only part of that is to understand the math used to make the models.
That you could calculate math doesn't mean that you could do proofs, or think like a physicist. I say the last with experience - I found as a physics graduate student that my math undergrad meant I could follow the math, but I had problems with the intent.
"what are my true abilities with math?" - My belief is that if you believe there are 'true abilities' then the first time you stumble you will start to believe that you don't have those abilities, and that will keep you from going further, when the more likely answer is that you need to practice more, and learn more, and ask for help in understanding.
Mind you, there's plenty of other things in the world besides learning math. You may decide to take up watercolors. Or waltz. Or study history.