Recently many users have started posting great problems in Calculus section (level 3-5). All of them include variety of functions, new ideas, skill, etc. to solve them.
But I feel just being able to solve an integral or summation doesn't make one good at calculus. There is no use of solving complicated integrals/summations when you are not able to apply them properly. For example the problem, Looks Like Gabriel's Horn To Me is an application of functions which are frequently used in the Calculus section. But very few users have solved it.
I asked a user, who recently posted some good problems, whether he was able to apply them or not? He replied he barely knows application of calculus. I was stunned. What's the point of studying so much when you are not able to apply them? I've seen many people eagerly preparing for Brilliant Integration Contest. But only a few of them have covered all the basics.
Some users have not at all gone into the depth of Differential Calculus and have directly done Integral Calculus. This leads to Nothing. I'll give an example: There is a Slam Dunk Contest in NBA. Many eagerly prepare themselves for that contest. But is that contest as valuable as the NBA title? The answer is no. Just being able to dunk perfectly when no one is standing in front of a player will be of no use in the game. Similar is the case in Calculus.
So please make your basics very strong then start applying them. Later move into high level. No one has set a time limit to calculus. So take your own time and become a master.
I hope everyone liked this note.