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# Thread: MATHEMATICAL METHODS Ebook, presentation and lecture notes covering full semester syllabus

1. ## MATHEMATICAL METHODS Ebook, presentation and lecture notes covering full semester syllabus

The topics covered in the attached e-books are:

UNIT I - Matrices and Linear systems of equations: Elementary row transformations-Rank-Echelon form, Normal form Solution of Linear Systems Direct Methods- LU Decomposition- LU Decomposition from Gauss Elimination Solution of Tridiagonal Systems-Solution of Linear Systems

UNIT II -
Eigen values, eigen vectors properties Cayley-Hamilton Theorem - Inverse and powers of a matrix by Cayley-Hamilton theorem Diagonolization of matrix. Calculation of powers of matrix Modal and spectral matrices.

UNIT III -
Real matrices Symmetric, skew - symmetric, orthogonal, Linear Transformation Orthogonal Transformation. Complex matrices: Hermitian, Skew-Hermitian and Unitary forms- Reduction of quadratic form to canonical form.

UNIT IV -
Solution of Algebraic and Transcendental Equations: Introduction The Bisection Method The Method of False Position The Iteration Method Newton-Raphson Method.

UNIT V - Curve fitting

UNIT VI - Numerical solution of Ordinary Differential equations

UNIT VII - Fourier Series

UNIT VIII - Formation of partial differential equations by elimination of arbitrary constants and arbitrary functions

2. ## Re: MATHEMATICAL METHODS Ebook, presentation and lecture notes covering full semester syllabus

Very useful notes!

3. ## Re: MATHEMATICAL METHODS Ebook, presentation and lecture notes covering full semester syllabus

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