M3 special notes

Complex Numbers - ( 1 - 6 )

Polar Form -     ( 7 - 13 )

Complex Functions - ( 14 - 14 )

Limit - ( 15 - 15 )

Analytic Function - ( 16 - 16 )

Cauchy-Riemann Equation - ( 17 - 22 )

Laplace Equation - ( 23 - 28 )

Milne Thomson Method - ( 29 - 35 )

Complex Integration - ( 36 - 61 )

Green's Theorum - ( 62 - 63 )

Cauchy's Integral Formula - ( 64 - 76 )

Complex Power Series - ( 77 - 81 )

Taylor and Maclaurin Series - ( 82 - 90 )

Laurent Series - ( 91 - 104 )

Singularity - ( 105 - 109 )

Residue Integration - ( 110 - 117 )

Evaluation of real integrals by R.I - ( 118 - 123 )

Fourier Integrals - ( 124 - 135 )

Cauchy Principal Value Theorum - ( 136 - 138 )

Numerical Analysis - ( 139 - 139 )

Error and Rounding-off - ( 140 - 145 )

Interpolation - ( 146 - 150 )

Newton's Forward Interpolation Formula - ( 151 - 152 )

Newton's Backward Interpolation Formula - ( 153 - 157 )

Newton's Divided Difference Formula - ( 158 - 162 )

Lagrange's Interpolation formula - ( 163 - 165 )

Inverse Interpolation - ( 166 - 167 )

Spline Interpolation - ( 168 - 170 )

Numerical Integration - ( 171 - 177 )

Numerical Solution of ODE - ( 178 - 178 )

Euler's Method - ( 179 - 181 )

Improved Euler's Method - ( 182 - 185 )

Modified Euler's Method - ( 186 - 190 )

Runge-Kutta Method - ( 191 - 194 )

Multistep Method - ( 195 - 196 )

Milne's Simpson Formula - ( 197 - 197 )

Probability and Statistics - ( 198 - 204 )

Conditional Probability - ( 205 - 205 )

Multiplication Theorum - ( 206 - 208 )

Baye's theorum - ( 209 - 212 )

Random Variables and Probability Distributions - ( 213 - 222 )

Conditions for Bionomial distribution - ( 223 - 226 )

Poisson Distribution - ( 227 - 227 )

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