1. MAT 1236 Calculus III Section 15.4 Double Integrals In Polar Coordinates http://myhome.spu.edu/lauw

2. 20-Point Challenge The next 5 points are pending

3. Chat… I would like to chat with you and see how you are doing in my class. I am planning to talk to you this week. So drop by my office during my office hours. I have some snacks in my office.

4. HW & … WebAssign 15.4 (10 problems, 82 min.)

5. Preview Formula for double integral if the region is described in polar coordinates consider the case where the bounds are all constants (Polar rectangle) Rectangular and polar regions are in the most popular applications in physics and engineering

6. Polar Rectangle

8. Example A

9. Example B

10. Example C

11. Polar Rectangle R

12. R

13. Idea

14. R

16. Polar Rectangle

17. Formula Order of integration is not important (why?)

18. Splitting Formula

19. Example 1

20. Remarks Sometimes, an integral in polar coordinates may be easier to evaluate than the corresponding one in rectangular coordinates

21. Example 2 Evaluate by converting to polar coordinates

22. Example 2

25. Addition Formula for 15.4