10.24 - • Algebraic properties of double integrals View “Fubini’s Theorem” animation Discuss the connection between the definition of

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Section 12.1: Double integrals over rectangles Main ideas? ..?. . Definition of double integral as a limit of double Riemann sums Interpretation of double integral as (signed) volume Approximating volumes with sums (e.g., Midpoint Rule) Definition of integrability Integrability of continuous functions and “near- continuous” functions Iterated integrals (vs. double integrals) Separation of variables for special integrands
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Unformatted text preview: • Algebraic properties of double integrals View “Fubini’s Theorem” animation Discuss the connection between the definition of volume given on page 364 and the definition of volume given on page 665 (formula 4). Group Work 4 (Modify problem 1: Find the largest and smallest values of a Riemann sum that you can get with this subdivision, by varying your choice of sample points.)...
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This note was uploaded on 02/13/2012 for the course MATH 241 taught by Professor Staff during the Fall '11 term at UMass Lowell.

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10.24 - • Algebraic properties of double integrals View “Fubini’s Theorem” animation Discuss the connection between the definition of

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