The hard difficulty level of the topic of "Polar coordinates" has questions on "Volume of Revolution" in my problem set. Calvin Sir, could you please change the problem sets?

I don't see why that is an issue. The implicit hint is that you can approach the volume of revolution question via polar coordinates, which would help simplify otherwise strange conditions. Of course, you could do the volume of revolution through normal means, and wade through the ugly integration. Likewise, you could do it via first principles,but that might not be the best approach to use.

Math isn't about sticking to just using certain techniques in certain situations, or memorizing that when you see a question of type X to use standard solution methods Y. You need the flexibility and creativity to apply what you have learnt into novel situations. Especially in the hard set, I try and present various scenarios where it may not be immediately obvious how to approach it, but the hint of the technique should get you started.

## Comments

Sort by:

TopNewestI don't see why that is an issue. The implicit hint is that you can approach the volume of revolution question via polar coordinates, which would help simplify otherwise strange conditions. Of course, you could do the volume of revolution through normal means, and wade through the ugly integration. Likewise, you could do it via first principles,but that might not be the best approach to use.

Math isn't about sticking to just using certain techniques in certain situations, or memorizing that when you see a question of type X to use standard solution methods Y. You need the flexibility and creativity to apply what you have learnt into novel situations. Especially in the hard set, I try and present various scenarios where it may not be immediately obvious how to approach it, but the hint of the technique should get you started.

Log in to reply

sir please look into my issue

Log in to reply