Laurents Series for Complex Variable I Laurents Theorem (Complex Analysis) I Numerical Practice

[Maths - 2 , First yr Playlist]

   • Engineering Maths - 2 , Second Sem  



Unit 1 – Partial Differentiation and its Applications

Partial Derivative of 1st and 2nd order    • Partial Derivative of 1st and 2nd ord...  

Partial Derivative of 1st and 2nd Order (P2)    • Partial Derivative of 1st and 2nd Ord...  

Euler's Theorem - P1    • Euler's Theorem - P1  

Euler's Theorem - P2    • Euler's Theorem - Part 2  

Change Of Variables    • Partial Derivative - Change of Indepe...  

Taylor's Theorem for function of two Variables    • Taylor's Theorem for function of two ...  

Errors and Approximations    • Errors and Approximations  

Jacobians - Easiest Explained P1    • Jacobians II Chain Rule JJ' = 1 II Ja...  

Jacobians - P2    • Jacobians II Jacobians to determine F...  

lagrange's method of Undetermined Multipliers    • Lagrange's method of Undetermined Mul...  

Formation of Partial Different Equations    • Formation of Partial Different Equations  

Formation of Partial Differential Equation P2    • Formation of Partial Differential Equ...  



Unit – 2 Laplace Transform

Laplace Transform – Properties    • Laplace Transform - Properties  

Laplace Transform of Basic Functions    • Laplace Transform of Basic Functions  

Laplace Transform of Derivatives and Integrals    • Laplace Transform of Derivatives and ...  

Inverse Laplace Transform - P1    • Inverse Laplace Transform - P1  

Inverse Laplace Transform - Numericals P2    • Inverse Laplace Transform - Numerical...  

Convolution Theorem - II    • Convolution Theorem - Maths II  

Convolution Theorem - Numericals II    • Convolution Theorem - Numericals Math...  

Solving Differential Equations (Application) -    • Solving Differential Equations (Appli...  

Differential Equation using Laplace Transform P2    • Differential Equation using Laplace T...  

Differential Equations Using Laplace Transform (P 3)    • Differential Equations Using Laplace ...  

Unit – 3 Complex Functions

Complex function Definition , Limit and Continuity    • Complex function - Definition , Limit...  

Differentiability Of Complex Function    • Differentiability Of Complex Function...  

Cauchy Riemann Equation II Analytic Function #1    • Cauchy Riemann  Equation II Analytic ...  

Cauchy Riemann Equation II Numericals #2    • Cauchy Riemann  Equation I Analytic F...  

Cauchy Riemann Equation II Numericals #3    • Cauchy Riemann Equation I Analytic Fu...  

Cauchy Riemann Equation in Polar form    • Cauchy Riemann  Equation in Polar for...  

Harmonic Function - Complex Plane #1    • Harmonic Function Satisfying Laplace ...  

Harmonic Function - Complex Plane #2    • Harmonic Function Satisfying Laplace ...  

Mapping or Transformations Complex plane II Conformal Mapping    • Mapping or Transformations Complex pl...  

Mapping in Complex Plane II Bilinear Mapping #1    • Bilinear Mapping or Transformation II...  

Bilinear Mapping II Fixed point Problems #2    • Bilinear Mapping or Transformation II...  

Complex Integration : Line Integral    • Complex Integration - Line Integral I...  

Cauchy Integral Theorem - With Numericals #1    • Cauchy Integral Theorem - Complex Pla...  

Cauchy Integral Theorem - With Numericals #2    • Cauchy Integral Theorem - Complex Pla...  

Cauchy Integral Formula : Complex Plane    • Cauchy Integral Formula - Complex Pla...  

Zeros and Singularity ( with Poles ) : Complex Plane    • Zeros and Singularity ( with Poles ) ...  

Taylor's Series #1    • Taylor Series for Complex Variable I ...  

Taylor's Series #2    • Taylor Series for Complex Variable II...  

Laurent's Series #1    • Laurents Series for Complex Variable ...  

Laurent's Theorem #2    • Laurents Series for Complex Variable ...  

Residue of a Complex Function    • Residue of a Complex Function II Comp...  

Cauchy's Residue Theorem    • Cauchy's Residue Theorem in Complex P...  

Integration Round a Unit Circle    • Integration Round a Unit Circle - Com...  

Integration Round the Semi- Cirle    • Integration Round the Semi- Circle - ...  



Unit – 4 Integration and Vector Calculus

Double Integral    • Double Integral - Concept with Numeri...  

Change Of Order Of Integration #1    • Change Of Order Of Integration #1  

Change Of Order Of Integration II Part -2 (Numericals)    • Change Of Order Of Integration II Par...  

Tripple integration - Engineering Maths    • Triple Integration Concept with Numer...  

Scalar and Vector Point Function , Gradient - P1    • Scalar and Vector Point Function II G...  

Scalar and Vector Point Function , Gradient - P2    • Scalar and Vector Point Function II G...  

Divergence and Curl Of Vector Point Function    • Divergence and Curl Of Vector Point F...  

Directional Derivative - Vector Calculus    • Derivative & Directional Derivative -...  

Line Integral - Vector Calculus    • Line Integral II Path Independence of...  

Surface Integral - Vector Calculus    • Surface Integral Concept and Numerica...  

Surface integral P2 - Vector Calculus    • Surface Integral Numericals [Part 2] ...  

Volume Integral - Vector Calculus    • Volume Integral - Vector Calculus  

Green's Theorem - Engineering Mathematics    • Green's Theorem - Concept with Numeri...  

Green's Theorem P2 - Engineering Maths    • Green's Theorem Numericals [Part 2] |...  

Stokes Theorem - Engineering Maths    • Stokes Theorem Concept with Numerical...  

Stokes Theorem ( More Numerical)    • Stokes Theorem Numerical [Part 2] II ...  

Gauss Divergence Theorem - Engineering Maths    • Gauss Divergence Theorem Concept and ...  

Gauss Divergence Theorem P2 II Engineering MATHS    • Gauss Divergence Theorem Numerical [P...