change of variables introduction part 1

This video goes over the basic concept of a change of variables in two dimensions and gives a few basic examples. A longer example is in part two.

Category:

Science & Technology

Tags:

• math 2d
• multivariable calculus
• multiple integrals
• change of variables.

[MrJaeger2000]

He chooses x=(v-u)/2 and the y= from the motivations behind the transformation. It is a personal decision. By transforming into this new coordinate system, perhaps the problem can be solved easier or visually more appealing for an intuitive understanding. kind regards, Ian Gregory, Sydney.

[ryanww117]

How did you get the x=(v-u)/2 and the y= equations?

[innpinn]

@nakeder no he's specified in the x,y that theta only goes to pi/4. in general theta does vary between 0 and pi/2 but here he's given an example where only the region where theta is less than pi/4 is included.

[nakeder]

One mistake. In the change of variables from polar to x and y, the angle theta varies from zero to pi/2 and not pi/4.

[tancookies89]

Thanks for the help

[sirrisreview]

thanks

[tigernov6]

are you tamil?

[JRajashekar]

Thanks