[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 Definition, Existence Condition and LT of basic functions    • Laplace Transform  Definition, Exist...  
Laplace Transform LT of basic functions Formula based [Part 2]    • Laplace Transform  Definition, Exist...  
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...