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VECTOR CALCULUS

16. VECTOR CALCULUS. VECTOR CALCULUS. So far, we have considered special types of surfaces: Cylinders Quadric surfaces Graphs of functions of two variables Level surfaces of functions of three variables. VECTOR CALCULUS.

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MULTIPLE INTEGRALS

15. MULTIPLE INTEGRALS. MULTIPLE INTEGRALS. In this chapter, we extend the idea of a definite integral to double and triple integrals of functions of two or three variables. MULTIPLE INTEGRALS.

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Chapter Twelve

Chapter Twelve. Multiple Integrals. Section 12.1 Double Integrals Over Rectangles. Goals Volumes and double integrals Midpoint Rule Average value Properties of double integrals. Volumes and Double Integrals. Given a function f (x, y), defined on a closed rectangle

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Elliptic paraboloid z - PowerPoint PPT Presentation

VECTOR CALCULUS

MULTIPLE INTEGRALS

Chapter Twelve