Riemann integration - PowerPoint PPT Presentation

RIEMANN INTEGRATION

RIEMANN INTEGRATION. INTRODUCTION. PARTITIONS. NORM OF A PARTITION. REFINEMENT OF A PARTITION. Upper and lower Riemann sums. EXAMPLES:. RIEMANN INTEGRAL. CONDITION OF INTEGRABILITY. Assignment. f(x)=x on [0,1] where P={0,1/3,2/3,1}?

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DOT A FEW I’S, CROSS A FEW T’S

DOT A FEW I’S, CROSS A FEW T’S. The most important thing to understand from the last lecture (on Riemann integration ) is that

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AVERAGING THINGS OUT

AVERAGING THINGS OUT. Suppose you have a given function and your boss (instructor, departmental director) orders you to estimate an average value of the infinitely many values ( one for every point in the interval ) of the function. How do you proceed?

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