Iitk mth 102

Hey!! I am the student of Indian Institute of Technology Kanpur and want to get the Notes on Mathematics – 102 so can you please provide me this?

[Shaleen]

Well, a per your request here I am providing you the complete notes of Notes on Mathematics – 102 of the Indian Institute of Technology Kanpur

Topics of Mathematics – 102
Linear Algebra
Matrices, system of linear equations, elimination method
Elementary matrices, invertible matrix , row reduction method
Determinant and its properties
Determinant and its properties
Determinant, system of linear equations, Cramers rule
Vector space, subspace, examples
Span, linearly independent, basis, examples
Dimension, examples
Sum and intersection of two subspaces, examples
Linear Transformation, Rank-Nullity Theorem, Row and column space
Rank of a matrix, solvability of system of linear equations, examples
Some applications (Lagrange interpolation, Wronskian), Inner product
Orthogonal basis, Gram-Schmidt process, orthogonal projection
Orthogonal complement, fundamental subspaces, least square solutions
Least square fittings, eigenvalues, eigenvectors
Eigenvalues, eigenvectors, characterization of a diagonalizable matrix
Diagonalization : Examples, an application
Orthogonal matrix, Diagonalization of a real symmetric matrix
Representation of linear maps by matrices : Book

Complex Analysis
Complex Numbers and Complex Differentiation
Complex Differentiation and Cauchy-Riemann Equations
Analytic Functions and Power Series
Derivative of Power Series and Complex Exponential
Complex Logarithm and Trigonometric Functions
Complex Integration
Cauchy's Theorem
Cauchy's Integral Formula I
Cauchy's Integral Formula II
Taylor series, Cauchy residue theorem
Mobius Transformation

Notes are here in the form of PDF file you can download it free