I am currently a 1st year undergrad in UK studying mathematics with interests in entering the academia. Yesterday when I was looking for some problems in analysis, I came across with this IIT JEE stuff, and found it very interesting. Sure these are really just some tricky A-level mathematics that's not very conceptually difficult, but I believe that one does need to spend time learning some of the standard tricks/techniques to solve these sort of problems.
Since I had always been an enthusiast in competition mathematics, most of the pre-calculus materials there aren't quite attractive to me, but the board does seem to cover some topics in calculus which seem rathere unconventional, so I was wondering maybe I should spend some time learning these techniques?
But the problem is that I have also set some other targets for me to finish in this year such as finishing rudin's pma and pugh's real mathematical analysis, as well as herstein's algebra and hoffman's linear algebra etc. So I was wondering that would these tricks in JEE calculus be covered in a standard analysis textbook? If not, would it be worth it for me to invest time in doing these materials, or would it act as a hindrance for me to focus on learning more advanced maths?