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

[Maths - 2 , First yr Playlist]

Unit 1 – Partial Differentiation and its Applications

Partial Derivative of 1st and 2nd order https://youtu.be/QvufScfeRZ0

Partial Derivative of 1st and 2nd Order (P2) https://youtu.be/he2V9LYzKPY

Euler's Theorem - P1 https://youtu.be/kEMgvpodsEA

Euler's Theorem - P2 https://youtu.be/dCEHrjhplrA

Change Of Variables https://youtu.be/3hyciaX4cSQ

Taylor's Theorem for function of two Variables https://youtu.be/4Z0DjTdVXxg

Errors and Approximations https://youtu.be/KmHiVDrvhD8

Jacobians - Easiest Explained P1 https://youtu.be/CaQvxH0eSiU

Jacobians - P2 https://youtu.be/kwbSFcbwhUA

lagrange's method of Undetermined Multipliers https://youtu.be/SFmIHigJugY

Formation of Partial Different Equations https://youtu.be/fXcul6vf2io

Formation of Partial Differential Equation P2 https://youtu.be/TzPYCRodrdo

Unit – 2 Laplace Transform

Laplace Transform – Properties https://youtu.be/6mMjYC0pzm4

Laplace Transform of Basic Functions https://youtu.be/RSitLCnnoxE

Laplace Transform of Derivatives and Integrals https://youtu.be/mtekg3-2bFU

Inverse Laplace Transform - P1 https://youtu.be/A6JU2jUFAao

Inverse Laplace Transform - Numericals P2 https://youtu.be/WPgHGWI7CRU

Convolution Theorem - II https://youtu.be/V8c8Mk4iD34

Convolution Theorem - Numericals II https://youtu.be/Zjc_RZvf7lU

Solving Differential Equations (Application) - https://youtu.be/R2a3IghkZNA

Differential Equation using Laplace Transform P2 https://youtu.be/zYqV--eHXwM

Differential Equations Using Laplace Transform (P 3) https://youtu.be/5BC-Z3wRIG4

Unit – 3 Complex Functions

Complex function Definition , Limit and Continuity https://youtu.be/2r9NlYsBbro

Differentiability Of Complex Function https://youtu.be/eFwjRP75R8o

Cauchy Riemann Equation II Analytic Function #1 https://youtu.be/59u4PnalRCc

Cauchy Riemann Equation II Numericals #2 https://youtu.be/kG1CN8s8XwQ

Cauchy Riemann Equation II Numericals #3 https://youtu.be/o9bMz1XhfcU

Cauchy Riemann Equation in Polar form https://youtu.be/sSPI1z7MYhw

Harmonic Function - Complex Plane #1 https://youtu.be/zkMh3wJzsVc

Harmonic Function - Complex Plane #2 https://youtu.be/9v46vnzxYcQ

Mapping or Transformations Complex plane II Conformal Mapping https://youtu.be/s6LGM14_S8g

Mapping in Complex Plane II Bilinear Mapping #1 https://youtu.be/OCc-rQkpRKA

Bilinear Mapping II Fixed point Problems #2 https://youtu.be/wfutAHZ-XtI

Complex Integration : Line Integral https://youtu.be/4dwMAOTbp04

Cauchy Integral Theorem - With Numericals #1 https://youtu.be/sq3KW-qj5Pk

Cauchy Integral Theorem - With Numericals #2 https://youtu.be/qUfpCJcyiR0

Cauchy Integral Formula : Complex Plane https://youtu.be/TOsJJX7KpEg

Zeros and Singularity ( with Poles ) : Complex Plane https://youtu.be/3sgEFNZQDt0

Taylor's Series #1 https://youtu.be/LBIQud3p6us

Taylor's Series #2 https://youtu.be/Ab9USK1H4Y4

Laurent's Series #1 https://youtu.be/NIxZp_UBQRU

Laurent's Theorem #2 https://youtu.be/_1ZTaRwelCM

Residue of a Complex Function https://youtu.be/dD-lu-22xQk

Cauchy's Residue Theorem https://youtu.be/GWmNyVzIdTo

Integration Round a Unit Circle https://youtu.be/n5TvfomHbxg

Integration Round the Semi- Cirle https://youtu.be/MmC-2UI8VzY

Unit – 4 Integration and Vector Calculus

Double Integral https://youtu.be/OzaboGyXdFk

Change Of Order Of Integration #1 https://youtu.be/lIKF_5WDHjM

Change Of Order Of Integration II Part -2 (Numericals) https://youtu.be/qXnNOs8dvoE

Tripple integration - Engineering Maths https://youtu.be/xoi7LuUrU1o

Scalar and Vector Point Function , Gradient - P1 https://youtu.be/MdlT561A8_8

Scalar and Vector Point Function , Gradient - P2 https://youtu.be/H6w945A6tkk

Divergence and Curl Of Vector Point Function https://youtu.be/KO6A1JdNlKA

Directional Derivative - Vector Calculus https://youtu.be/PX78MrbdKr8

Line Integral - Vector Calculus https://youtu.be/JiQW1TQ5MMs

Surface Integral - Vector Calculus https://youtu.be/K37VbB5Ukxk

Surface integral P2 - Vector Calculus https://youtu.be/KfSbF3MQ0Hs

Volume Integral - Vector Calculus https://youtu.be/hG7h2g36jrQ

Green's Theorem - Engineering Mathematics https://youtu.be/-ljqqb_Vvso

Green's Theorem P2 - Engineering Maths https://youtu.be/ddZYcTb6lrQ

Stokes Theorem - Engineering Maths https://youtu.be/KnChsPboXqc

Stokes Theorem ( More Numerical) https://youtu.be/tQBlDlmtVSM

Gauss Divergence Theorem - Engineering Maths https://youtu.be/tbJ_zgs84aY

Gauss Divergence Theorem P2 II Engineering MATHS https://youtu.be/GhY56OKu7vs