MAC 2312 Notes

MAC 2312 Notes - MAC 2312 THE (NON-RIGOROUS) DEFINITION OF...

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MAC 2312 THE (NON-RIGOROUS) DEFINITION OF THE DEFINITE INTEGRAL 1) Let f be a continuous function on the interval [ ] , ab I = 2) Subdivide I into n subintervals using the points 12 1 , , . .. , , , . .. , , kk n x xx x x where . ... n ax x x b << is called a partition of ... n Pax x =< < < < [ ] , I = . P = 3) Let 1 kkk x Δ= − be the length of the subinterval th k [ ] 1 , x x formed by the partition P of I . 4) Let * k x be an arbitrarily chosen point in the subinterval [ ] 1 , x x of I . 5) Form the Riemann Sum () * 1 n k f = Δ . 6) Continue to use finer and finer partitions to subdivide I . By doing so, we are letting the number of partition points
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This note was uploaded on 04/29/2008 for the course MAC 2312 taught by Professor Storfer during the Spring '08 term at FIU.

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