Complex Variable and Matrices

B u i l d Y o u r s e l f & H e l p O t h e r s

Click over what you need:

Syllabus	Books	Lecture Slides
Questions	Topicwise Questions	Notes/Suggestions
	Others

👉 Click Here to open the other courses of CSE

Other Names of this Course / Subject

Mathematics, Matrix, Complex Number, Complex Variable

Syllabus

👆

Complex Variable: Complex number system; General functions of a complex variable; Limits and continuity of a function of a complex variable and related theorems; Complex differentiation and the Cauchy Riemann Equations; Mapping by elementary functions; Line integral of a complex function; Cauchy Integral Theorem; Cauchy Integral Formula; Liouville Theorem; Taylor Theorem and Laurent Theorem. Singular points; Residue; Cauchy Residue Theorem. Evaluation of residues; Contour integration; Conformal mapping.

Matrices: Definition of the matrix; Different types of matrices; Algebra of matrices; Adjoint and inverse of a matrix; Elementary transformations of matrices; Matrix polynomials; Clay-Hamilton theory with uses of rank and nullity; Normal and canonical forms; Solution of linear equations; Eigenvalues and eigenvectors.

Books

👆

> Complex Variables and Applications

Author: James Ward Brown, Ruel V. Churchill

View PDF [9th Edition]

> Linear Algebra [Schaum's Outline Series]

Authors: Seymour Lipschutz, Ph.D. Marc Lipson, Ph.D

View PDF

> Complex Variables [Schaum's Outline Series]

Authors: Murray R. Spiegel (Ph.D), Seymour Lipschutz (Ph.D), John J. Schiller (Ph.D), Dennis Spellman (Ph.D)

View PDF

> Advanced Engineering Mathematics