[Maths – 2 , First yr Playlist]
https://www.youtube.com/playlist?list=PL5fCG6TOVhr4k0BJjVZLjHn2fxLd6f19j
/>
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