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Mod-01 Lec-01 Introduction ,Extended Real numbers |
Calculus |
56 min |
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Mod-01 Lec-02 Algebra and Sigma Algebra of a subset of a set |
Calculus |
52 min |
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Mod-01 Lec-03 Sigma Algebra generated by a class |
Calculus |
59 min |
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Mod-01 Lec-04 Monotone Class |
Calculus |
54 min |
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Mod-02 Lec-05 Set function |
Calculus |
55 min |
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Mod-02 Lec-06 The Length function and its properties |
Calculus |
51 min |
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Mod-02 Lec-07 Countably additive set functions on intervals |
Calculus |
57 min |
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Mod-02 Lec-08 Uniqueness Problem for Measure |
Calculus |
53 min |
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Mod-03 Lec-09 Extension of measure |
Calculus |
56 min |
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Mod-03 Lec-10 Outer measure and its properties |
Calculus |
54 min |
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Mod-03 Lec-11 Measurable sets |
Calculus |
52 min |
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Mod-04 Lec-12 Lebesgue measure and its properties |
Calculus |
53 min |
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Mod-04 Lec-13 Characterization of Lebesque measurable sets |
Calculus |
54 min |
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Mod-05 Lec-14 Measurable functions |
Calculus |
53 min |
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Mod-05 Lec-15 Properties of measurable functions |
Calculus |
55 min |
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Mod-05 Lec-16 Measurable functions on measure spaces |
Calculus |
53 min |
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Mod-06 Lec-17 Integral of non negative simple measurable functions |
Calculus |
53 min |
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Mod-06 Lec-18 Properties of non negative simple measurable functions |
Calculus |
48 min |
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Mod-06 Lec-19 Monotone convergence theorem & Fatous Lemma |
Calculus |
54 min |
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Mod-06 Lec-20 Properties of Integral functions & Dominated Convergence Theorem |
Calculus |
53 min |
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Mod-06 Lec-21 Dominated Convergence Theorem and applications |
Calculus |
54 min |
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Mod-06 Lec-22 Lebesgue Integral and its properties |
Calculus |
54 min |
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Mod-06 Lec-23 Denseness of continuous function |
Calculus |
54 min |
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Mod-07 Lec-24 Product measures, an Introduction |
Calculus |
50 min |
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Mod-07 Lec-25 Construction of Product Measure |
Calculus |
52 min |
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Mod-07 Lec-26 Computation of Product Measure-I |
Calculus |
50 min |
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Mod-07 Lec-27 Computation of Product Measure-II |
Calculus |
48 min |
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Mod-07 Lec-28 Integration on Product spaces |
Calculus |
54 min |
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Mod-07 Lec-29 Fubinis Theorems |
Calculus |
45 min |
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Mod-08 Lec-30 Lebesgue Measure and integral on R2 |
Calculus |
56 min |
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Mod-08 Lec-31 Properties of Lebesgue Measure and integral on Rn |
Calculus |
50 min |
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Mod-08 Lec-32 Lebesgue integral on R2 |
Calculus |
56 min |
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Mod-09 Lec-33 Integrating complex-valued functions |
Calculus |
50 min |
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Mod-09 Lec-34 Lp – spaces |
Calculus |
52 min |
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Mod-09 Lec-35 L2(X,S,mue) |
Calculus |
53 min |
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Mod-10 Lec-36 Fundamental Theorem of calculas for Lebesgue Integral-I |
Calculus |
53 min |
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Mod-10 Lec-37 Fundamental Theorem of calculas for Lebesgue Integral-II |
Calculus |
48 min |
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Mod-10 Lec-38 Absolutely continuous measures |
Calculus |
51 min |
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Mod-10 Lec-39 Modes of convergence |
Calculus |
48 min |
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Mod-10 Lec-40 Convergence in Measure |
Calculus |
43 min |
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