Vector and Complex Analysis

Description

- Vector Algebra / Dot and cross product and Applications – Lines and Curves in Plane and Space – Vector valued function – Plane – Partial Differentiation / Derivatives of vector functions – Gradient / Divergence/ curl/ Laplacian – Line Integrals/ Line Integrals of a scalar and a vector function – Line Integrals Independent of the path / Double Integrals in Cartesian – Double Integrals in polar coordinates – Green’s Theorem/ Triple Integrals – Triple Integrals in Cylindrical and Spherical coordinates – Surface Integrals – Surface area – Flux of a Vector Field – Divergence Theorem (Gauss’ Theorem) / Stokes’ Theorem –Complex numbers and functions – forms of representation Roots of complex – Complex power /Elementary functions – Analytic functions /Harmonic functions/ Zeros and poles of Analytic functions – Residue Theorem / Application to Real Integral.

Program

Bachelor Degree in Computer Engineering

Objectives

• - Vector Algebra / Dot and cross product and Applications – Lines and Curves in Plane and Space – Vector valued function – Plane – Partial Differentiation / Derivatives of vector functions – Gradient / Divergence/ curl/ Laplacian – Line Integrals/ Line Integrals of a scalar and a vector function – Line Integrals Independent of the path / Double Integrals in Cartesian – Double Integrals in polar coordinates – Green’s Theorem/ Triple Integrals – Triple Integrals in Cylindrical and Spherical coordinates – Surface Integrals – Surface area – Flux of a Vector Field – Divergence Theorem (Gauss’ Theorem) / Stokes’ Theorem –Complex numbers and functions – forms of representation Roots of complex – Complex power /Elementary functions – Analytic functions /Harmonic functions/ Zeros and poles of Analytic functions – Residue Theorem / Application to Real Integral.