• Announcements: The next homework set (HW8) will be available online soon, and due on April 20. Note that this is 2 weeks from today, in keeping with the original Spring Break from the pre-pandemic calendar. Although CUNY has "cancelled" Spring Break due to the "recalibration period", since we worked through the recalibration period, I am extending the deadline for HW8 by one week (hence to April 20), and will be posting online lectures as follows: Lecture 20 (continuing multiple integrals) by April 8, Lecture 21 by April 20, and Lecture 22 by April 22. These lectures will likely be available online sooner than these dates, and you may work through them whenever is most convenient for you (but, at the latest, on these indicated dates). In this way, you can choose whether to allow yourself a Spring Break, or instead work through the Spring Break having twice the usual amount of time to go through the same amount of material. Either way, you can pick what is most convenient for you, both options are equally fine for me, as long as you deliver HW8 by April 20. As always, if you have any questions, please send me an e-mail!

• Double integrals (introductory example) Download file or watch below

• Double integrals (general theory, 2 types of region) Download file or watch below

• Double integrals (revisiting introductory example, volume interpretation) Download file or watch below

• Double integrals (switching order of integration in introductory example) 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 Double Integrals (examples)

• External link 2: Paul's Online Notes about Double Integrals (theory)

• External link 3: PatrickJMT computing a double integral (video): Watch on YouTube

• External link 4: PatrickJMT on switching order of integration (video): Watch on YouTube

• External link 5: PatrickJMT computing a double integral by switching order of integration (video): Watch on YouTube

• External link 6: PatrickJMT computing a few more double integrals (video): Watch on YouTube