- Rational inequalities 2 | Polynomial and rational functions | Algebra II | Khan Academy
- Integration Involving Inverse Trigonometric Functions Calculus 1 AB 6 Examples

Cool Math Games and Problem Generators

- Rational inequalities 2 | Polynomial and rational functions | Algebra II | Khan Academy
- Integration Involving Inverse Trigonometric Functions Calculus 1 AB 6 Examples

Khan might consider not using t as a variable. It looks a lot like a plus sign to me a lot.

They aren't boring to people who want to learn advance multivariable calculus.

You'll get there.

then don't watch it if you're not interested in it..

Eh, it's a little more than two years. This is beyond AP Calc BC.

y is the surface are of a sphere 3 x the surface area of the base of the hemisphere of the same sphere?

Not sure which class this is. I haven't actually taken these classes, but I did do some surface integral stuff in AP Physics, so I was curious as to how it's actually done.

Calculus III

That awesome moment when your in algebra 2 and you understand this!

wish this came out 1 month earlier, even 2 weeks

I haven't had this yet, I'm doing Calculus 2.

This is my study music!

Multivariable calculus is dealing with more complex shapes than normal calculus (1D [just x varies] vs 2D [x and y vary] vs 3D [x, y, and z vary] for example). It's extremely useful for surface analysis and fluid-dynamics where things are changing over time. Differential equations are a technique often used in conjunction with multivariable calculus.

In my opinion you spend a bit too much time on the manipulations.. like I can see cos^2+sin^2=1, I dont need you to redistribute and then cancel it out in that much detail. I would like a bit more time spend on the concepts, like what is the cross product, why do we need |r_s x r_t|, etc.

You are so great. Thank you so much for this and other videos. You teach with such clarity, and you teach us more than the concepts. The pictures and explanations put the formulas into reality. I LOVE your explanation of the parametrization of surfaces. I really see now how the t-component behaves, and how it relates to sin and cosine, and r. Thanks a million.

Is Sal color blind!

The s's and t's got all scrambled in the last minute or so. The blue should have been only s's.

great video ever