Hello Bacchon!! Welcome to another contribution for your journey of competition, IIT JAM & CSIR NET. This Channel PW IIT JAM & CSIR NET will help you throughout your journey of IIT JAM & CSIR NET with top, experienced & passionate teachers who are totally dedicated towards their honesty of showering knowledge. This lecture on Functions of Several Variables by Sanjeev Sir will explain the fundamentals of this topic. The topic that this lecture will cover is Darboux and Riemann Integration.
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Introduction 0:00
Bounded function 1:51
Supremum and infimum of a function 11:45
Partition of an interval 17:42
Upper and lower sums 22:01
Boundedness of set of all upper and lower sums 43:48
Upper and lower integral 51:40
Definition of Darboux integrable 57:10
Riemann Sum 2:27:33
Riemann-integrable function 2:30:15
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#Partitionofaninterval #Boundedness #UpperSum #Lowersum, #Upperintegral #LowerIntegral #DarbouxIntegrable #RiemannSum #Riemannintegrablefunction