COMPLEX VARIABLES AND ALGEBRA
ALL TOPICS TO COVER IN COMPLEX VAR. AND ALGEBRA
> *Analytic functions and Cauchy – Riemann equations
> *Laplace equation and Harmonic functions
> Construction of Harmonic conjugate
> *Conformal mapping – Elementary transformations
>Translation, Magnification, Rotation, Inversion
> *Exponential and Square transformations
> *Bilinear transformation
> Functions given by Power Series – *Taylor and Laurent series
> Singularities – Poles Residues
> *Statements of Cauchy-Goursat theorem
> *Cauchy’s integral formula-Cauchy’s residue theorem
> Evaluation of real integrals-Indented contour integral
> *Vector space – subspace
> *linear combination – span – linearly dependent
> *Dimensions; Finite dimensional vector space
> *Row and column spaces; Rank and nullity
> *Linear transformations – Basic properties
> Invertible linear transformation
> *Matrices of linear transformations
> *Vector space of linear transformations
> *Dot products and inner products
> Lengths and angles of vectors
> *Matrix representations of inner products
> Gram – Schmidt – Orthogonalization
> *Eigenvalues and Eigen vectors
> *Properties of Eigenvalues and Eigen vectors
> *Cayley-Hamilton theorem
> System of linear equations
> *Gaussian elimination and Gauss Jordan methods.
***The topics that are (*topic) marked are very important for your university exam point of view.
COMPLEX VARIABLE / FULL PLAYLIST – CLICK HERE
LANGAUAGE– HINDI
COURSE TYPE – FREE COURSE
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COMPLEX VARIABLE / FULL PLAYLIST – CLICK HERE
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COMPLEX VARIABLE / FULL PLAYLIST – CLICK HERE
LANGAUAGE– HINDI
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LINEAR ALGEBRA / FULL PLAYLIST – CLICK HERE
LANGAUAGE– HINDI
COURSE TYPE – FREE COURSE
CERTIFICATION – NO
CREDITS – YOUTUBE CHANNEL Dr.Gajendra Purohit ⭐⭐⭐⭐⭐
LINEAR ALGEBRA / FULL PLAYLIST – CLICK HERE
LANGAUAGE– ENGLISH
COURSE TYPE – FREE COURSE
CERTIFICATION – NO
CREDITS – YOUTUBE CHANNEL Khan Academy ⭐⭐⭐⭐⭐