Common mistakes or misunderstandings

[Collin Li]

I think we should start to build up a bunch of common mistakes or misunderstandings that students tend to make. This will be useful for next years students.

To get the ball rolling:
- Implicit differentiation with f(x,y) = a, students often forget to differentiate the RHS constant.

There are also times when we re-encode the knowledge in our brain in a much more efficient way, demonstrating our understanding. If you can capture the thought process behind these moments, please contribute

[Daniel15]

 - When you find a Volume of A Solid of Revolution, don't forget to multiply by pi and square the function.
And... Hmmm... That's all I remember for now

[cara.mel]

- When you find a Volume of A Solid of Revolution, don't forget to multiply by pi and square the function.
And... Hmmm... That's all I remember for now

Building onto that (you reminded me), check to see if the area you want is on the outside.

Oh and that, if you have a function that looks like a semicircle or other familiar shapes and you need to find the area, you don't need to show off your ability to integrate

[rustic_metal]

don't plus things wrong.

[Collin Li]

Oh and that, if you have a function that looks like a semicircle or other familiar shapes and you need to find the area, you don't need to show off your ability to integrate

Let's make that more rigorous. If you can show that the function is a circle (express it in standard cartesian or polar form). Shouldn't be making assumptions based on what things look like, haha.

[midas_touch]

When calculating the areas under graphs, forgetting to change the interval of integration if you are using the substitution method.