1. 15.4 Double Integrals in Polar Form
Write and evaluate double integrals in polar coordinates

2. Review from

4. BUT for NOW, need to know…
We will be learning “change of variables in multiple integrals” in a later section (Jacobians)
BUT for NOW, need to know…
g’(u) is the Jacobian

8. For those who forgot, recall…

9. Recall Part II…
Write an equation of a circle with center (1, 0) with radius 1.

18. A very interesting problem…

19. Later on (after triple integrals)…

20. Review of Calculus I and II
Look at these slides if you forgot about Limacons
Ex. cardiods
Review of Calculus I and II

21. Will be focusing on cardioids (inner loop limacons aka “heart-shaped” figures)

27. Another polar function you should be aware of…