- #1
Hirundo
- 2
- 0
Hi, I'm a high school senior and I'm wondering if I should re-learn calculus. This is already my third year learning calculus in my high school, and I'm currently taking some easy version of multi-variable calculus, but doubt my high school calculus class is solid enough as the foundations of future mathematical studies. I'm also doing differential equations on MIT OCW, and I do not have any problem understanding the lectures and notes.
My biggest concern right now, is that I lack some basic calculus conceptions. I can compute and use all basic calculus equations, but I doubt there would be minor principles, or "mathematical thinking" involved that I missed. Since my goal is to do either research in either physics or math in future, I guess it would be important to build foundations. Also, my future college math classes would spend 90% of times on proofs, which I have utterly no experiences upon.
I've found the textbook my future college uses, if I decide to skip the class(99.9% chance), would you recommend me go over the textbook and do all the proofs out, or rather spend the time to do more advanced math? Another question, would minor details in basic calculus be important? Or would they be covered in future courses?
My biggest concern right now, is that I lack some basic calculus conceptions. I can compute and use all basic calculus equations, but I doubt there would be minor principles, or "mathematical thinking" involved that I missed. Since my goal is to do either research in either physics or math in future, I guess it would be important to build foundations. Also, my future college math classes would spend 90% of times on proofs, which I have utterly no experiences upon.
I've found the textbook my future college uses, if I decide to skip the class(99.9% chance), would you recommend me go over the textbook and do all the proofs out, or rather spend the time to do more advanced math? Another question, would minor details in basic calculus be important? Or would they be covered in future courses?