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August 30th, 2016, 05:57 PM
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University of Pune Board Of Studies
Hi buddy here I have come to get Syllabus of Pune University Board of Studies in Mathematics , if you have then plz provide me here ?? As you are asking I am providing Syllabus of Pune University Board of Studies in Mathematics AMG-3: Real Analysis and Lebesgue Integration First Term: Real Analysis 1. Sequences of real numbers : Definition of sequence and subsequence, Limit of a sequence, convergent sequences, Limit superior and Limit inferior, Cauchy sequences. [10 Lectures] 2. Series of Real numbers : Convergence and divergence of series of real num- bers, alternating series, Conditional and absolute convergence of series, test of absolute convergence (Ratio test and Root test), series whose terms form a non-increasing sequence. [10 Lectures] 3. Riemann integral : Sets of measure zero, Definition and existence of a Riemann integral, properties of Riemann integral, Fundamental theorem of integral cal- culus, Mean value theorems of integral calculus. [14 Lectures] 4. Sequence and series of functions : Pointwise and uniform convergence, sequence of functions, consequences of uniform convergence, convergence and uniform convergence of series of functions, integration and differentiation of series of functions. Last edited by Neelurk; April 25th, 2020 at 04:12 PM. |
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