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Note for Applied Mathematics-1 - M-1 By vtu rangers

  • Applied Mathematics-1 - M-1
  • Note
  • Visvesvaraya Technological University Regional Center - VTU
  • 34 Topics
  • 115683 Views
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Topics ( 34 )

Basic Formulae 1 Syllabus 3 Formulae of Differentiation and Integration 5 Nth Derivative of standard form 7 Nth Derivative Formulae 12 Nth derivative by partial fraction 21 Leibnitz Theorum 28 Polar Curves 42 Angle of intersection 51 Pedal Curve 61 Radius of Curvature 80 ROC for parameteric curve 89 ROC for polar curve 91 ROC in pedal form 98 Imp. Formulae 109 Taylor's and Maclaurin's Series 111 Indeterminate Forms 120 Partial Differentiation 134 Symmetric Function 143 Euler's theorum 150 Total Derivative and Composite Function 156 Jacobians 165 Vector Calculus 174 Directional Derivative 189 Gradiant, Divergen, Curl 193 Vector Identity 208 Linear Algebra 212 Rank of Matrix 214 Solution of system of equation by Gauss Elimation 223 Gauss Jordan Method 229 Gauss Seidal Method 241 Linear Transformation 249 Eigen values and vector form of Rayleigh Power method 254 Eigen values and vectors using characteristic Equation 260
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