Section 2.7 part b: Taylor's expansion for a function of two variables, with an example

00:00 - Recap of single-variable case, stating it in terms of differential operator D, and the statement that similar expression exists for the multivariable case, with a different D.
04:12 - Writing what the differential operator "D" is in the multivariable case.
11:45 - Recap of Taylor expansion for function of two variables, and writing the terms to third order out explicitly.
22:43 - Example: Taylor expansion of sin(x)*cos(y) to third-order terms, showing equivalence to the product of the single-variable expansions for sin(x) times that of cos(y).

[yulu]

thank you so much! it's nice and clear