Engineering Mathematics is an Important subject in engineering. Most of the students have engineering mathematics as backlog and they are afraid of these mathematics. In this blog we are going to tell you the M3 in right manner. So stay tuned 🙂

Topics involved 

Elementary row transformations
Rank
Echelon form
Normal form
Consistency of System of Linear equations.
Linear transformations.
Hermitian, Skew-Hermitian and Unitary matrices and their properties.
Eigen Values, Eigen vectors for both real and complex matrices.
Cayley – Hamilton Theorem and its applications
Diagonolization of matrix.
Calculation of powers of matrix and inverse of a matrix.
Quadratic forms
Reduction of quadratic form to canonical form and their nature.

Solution of Algebraic and Transcendental Equations:
The Bisection Method
The Method of False Position
Newton-Raphson Method
Solution of linear simultaneous equation:
Crout’s triangularisation method,
Gauss – Seidal iteration method.

Interpolation: Newton’s forward and backward interpolation formulae
Lagrange’s formulae.
Gauss forward and backward formula,
Stirling’s formula,
Bessel’s formula.

Curve fitting: Fitting of a straight line
Second degree curve
Exponentional curve-Power curve by method of least squares.
Numerical Differentiation for Newton’s interpolation formula.
Numerical Integration:
Trapezoidal rule – Simpson’s 1/3 Rule – Simpson’s 3/8 Rule.

Numerical solution of Ordinary Differential equations:
Solution by Taylor’s series
Picard’s Method of successive Approximations
Euler’s Method
Runge-Kutta Methods.
Numerical solutions of Laplace equation using finite difference approximation.

 

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