MAT 21B Lecture Notes - Lecture 3: Summation, Riemann Sum, Xz
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MAT 21B Full Course Notes
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Sigma notation and limit of finite sum. Sum rule and difference rule (cid:12200) can. If, au rule (cid:12200) bn act bed ( at b) ( ctd ) "s - in compute le th ft- hi) Tane the limit as n a hiya ( i. A similar method shows upper sum also approaches to } Need before a more general we give formal for setup definition for area area. Instead of choose we dividing points . it into n small intervals of same width. , xn } is a partition of ca. For height , choose the height to be fun ) Ecu } (cid:12200) oxu fun ) on is f. = & fun ) corresponding to be to oxu. Y f is is positive , this is a sum areas of of rectangles negative , we treat the area as negative another. Need integral concept before giving formal definition of. Intuitively , this can of each small should interval be.
