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Sl.No Chapter Name MP4 Download Transcript Download
1Lecture 1 : Partition, Riemann intergrability and One exampleDownloadDownload
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2Lecture 2 : Partition, Riemann intergrability and One example (Contd.)DownloadDownload
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3Lecture 3 : Condition of integrabilityDownloadDownload
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4Lecture 4 : Theorems on Riemann integrationsDownloadDownload
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5Lecture 5 : ExamplesDownloadDownload
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6Lecture 06: Examples (Contd.)DownloadDownload
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7Lecture 07: Reduction formulaDownloadDownload
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8Lecture 08: Reduction formula (Contd.)DownloadDownload
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9Lecture 09: Improper IntegralDownloadDownload
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10Lecture 10: Improper Integral (Contd.)DownloadDownload
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11Lecture 11 : Improper Integral (Contd.)DownloadDownload
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12Lecture 12 : Improper Integral (Contd.)DownloadDownload
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13Lecture 13 : Introduction to Beta and Gamma FunctionDownloadDownload
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14Lecture 14 : Beta and Gamma FunctionDownloadDownload
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15Lecture 15 :Differentiation under Integral SignDownloadDownload
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16Lecture 16 : Differentiation under Integral Sign (Contd.)DownloadDownload
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17Lecture 17 : Double IntegralDownloadDownload
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18Lecture 18 : Double Integral over a Region EDownloadDownload
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19Lecture 19 : Examples of Integral over a Region EDownloadDownload
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20Lecture 20 : Change of variables in a Double IntegralDownloadDownload
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21Lecture 21: Change of order of IntegrationDownloadDownload
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22 Lecture 22: Triple IntegralDownloadDownload
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23Lecture 23: Triple Integral (Contd.)DownloadDownload
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24Lecture 24: Area of Plane RegionDownloadDownload
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25Lecture 25: Area of Plane Region (Contd.)DownloadDownload
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26Lecture 26 :RectificationDownloadDownload
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27Lecture 27 : Rectification (Contd.)DownloadDownload
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28Lecture 28 : Surface IntegralDownloadDownload
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29Lecture 29 : Surface Integral (Contd.)DownloadDownload
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30Lecture 30 : Surface Integral (Contd.)DownloadDownload
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31Lecture 31: Volume Integral, Gauss Divergence TheoremDownloadDownload
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32Lecture 32: Vector CalculusDownloadDownload
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33Lecture 33: Limit, Continuity, DifferentiabilityDownloadDownload
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34Lecture 34: Successive DifferentiationDownloadDownload
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35Lecture 35: Integration of Vector FunctionDownloadDownload
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36Lecture 36: Gradient of a FunctionDownloadDownload
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37Lecture 37: Divergence & CurlDownloadDownload
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38Lecture 38: Divergence & Curl ExamplesDownloadDownload
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39Lecture 39: Divergence & Curl important IdentitiesDownloadDownload
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40Lecture 40: Level Surface Relevant TheoremsDownloadDownload
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41Lecture 41: Directional Derivative (Concept & Few Results)DownloadDownload
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42Lecture 42: Directional Derivative (Concept & Few Results) (Contd.)DownloadDownload
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43Lecture 43: Directional Derivatives, Level SurfacesDownloadDownload
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44Lecture 44: Application to MechanicsDownloadDownload
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45Lecture 45: Equation of Tangent, Unit Tangent VectorDownloadDownload
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46Lecture 46: Unit Normal, Unit binormal, Equation of Normal PlaneDownloadDownload
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47Lecture 47: Introduction and Derivation of Serret-Frenet Formula, few resultsDownloadDownload
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48Lecture 48: Example on binormal, normal tangent, Serret-Frenet FormulaDownloadDownload
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49Lecture 49: Osculating Plane, Rectifying plane, Normal planeDownloadDownload
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50Lecture 50: Application to Mechanics, Velocity, speed , accelerationDownloadDownload
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51Lecture 51: Angular Momentum, Newton's LawDownloadDownload
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52Lecture 52: Example on derivation of equation of motion of particleDownloadDownload
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53Lecture 53: Line IntegralDownloadDownload
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54Lecture 54: Surface integralDownloadDownload
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55Lecture 55: Surface integral (Contd.)DownloadDownload
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56Lecture 56: Green's Theorem & ExampleDownloadDownload
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57Lecture 57: Volume integral, Gauss theoremDownloadDownload
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58Lecture 58: Gauss divergence theoremDownloadDownload
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59Lecture 59: Stoke's TheoremDownloadDownload
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60Lecture 60: Overview of Course DownloadDownload
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