230 likes | 395 Views
Chapter 15. Multiple Integrals. Chapter 15. 15.1 Double Integrals. Double Integrals over Rectangles. Chapter 15. 15.1 Double Integrals. Double Integrals as Volumes. Chapter 15. 15.1 Double Integrals. Double Integrals as Volumes. Chapter 15. 15.1 Double Integrals.
E N D
Chapter 15 Multiple Integrals
Chapter 15 15.1 Double Integrals Double Integrals over Rectangles
Chapter 15 15.1 Double Integrals Double Integrals as Volumes
Chapter 15 15.1 Double Integrals Double Integrals as Volumes
Chapter 15 15.1 Double Integrals Fubini’s Theorem for Calculating Double Integrals
Chapter 15 15.1 Double Integrals Fubini’s Theorem for Calculating Double Integrals
Chapter 15 15.1 Double Integrals Fubini’s Theorem for Calculating Double Integrals
Chapter 15 15.1 Double Integrals Fubini’s Theorem for Calculating Double Integrals • Example
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions • Example
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions • Example
Chapter 15 15.1 Double Integrals Double Integrals over Bounded Nonrectangular Regions • Example • If the order of integration is reversed, the calculation will be much more difficult
Chapter 15 15.1 Double Integrals Finding Limits of Integration in x in y
Chapter 15 15.1 Double Integrals Finding Limits of Integration • Example • Prove that the value of both integrals is 8.
Chapter 15 15.1 Double Integrals Properties of Double Integrals
Chapter 15 15.1 Double Integrals Homework 7 • Exercise 15.1, No. 9. • Exercise 15.1, No. 20. • Exercise 15.1, No. 32. • Homeworks must not be submitted, but there will be a 15-minute short quiz in every lecture, asking 1-2 of the homework problems. • Next short quiz: Next week, at 17.15.