Module 1. Instructor: Dr. Tanuja Srivastava, Department of Mathematics, IIT Roorkee
Complex Integration, Contour Integration, Cauchy's Integral Theorem, Cauchy's Integral Formula, Application of Cauchy Integral Formula, Complex Valued Function on Real Domain, Improper Integral to Definite Integral, Complex function on Complex Domain.
Module 2. Instructor: Dr. Sunita Gakkhar, Department of Mathematics, IIT Roorkee
Matrix Algebra, Determinants, Linear Algebra, Inner Product, Linear Transformation, Eigenvalues, Eigenvectors, Quadratic Forms, Diagonalization, Functions of Complex Variables, Taylor Series, Laurent Series, Rank of a Matrix.
Module 3. Instructor: Prof. H.G. Sharma, Department of Mathematics, IIT Roorkee
Complex Numbers and their Geometrical Representation. (from nptel.ac.in)
Instructors: Dr. Tanuja Srivastava, Dr. Sunita Gakkhar and Prof. H.G. Sharma, Department of Mathematics, IIT Roorkee. Complex Variables and Linear Algebra.