• Announcements: I hope everyone is doing well. This is the first lecture "after Spring Break", and HW9 (due next Monday) will be online shortly.

• Recap: Example of double integral (in Euclidean coordinates): Download file or watch below

• Integrals in polar coodinates (theory): Download file or watch below

• Revisiting first example using polar coodinates: Download file or watch below

• Another example of integral using polar coordinates (and recap of how to integrate squares of trig functions): Download file or watch below

• Application of integral in polar coordinates to compute volume inside the round sphere: Download file or watch below

• Lecture Notes (static file from above videos): PDF file

• Alternative Lecture Notes (from last year): PDF file

• External link 1 (highly recommended, has many further examples!): Paul's Online Notes about Integrals in polar coordinates

• External link 2: solving several exercises about integrals in polar coordinates (video): Watch on YouTube

• External link 3: another solved exercise about integral in polar coordinates (video): Watch on YouTube