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Engineering Mathematics

Flow of Electricity in L-R circuits

Newton’s law of cooling

Applications of Differential Equations

Independent Proof of Gamma Function – Show that gamma(1/2)=sqrt(pi)

Beta and Gamma Functions

Applications of Double Integrals and Triple Integrals

Types of Evaluation of Double Integral

Double Integral and Triple Integral Problems

Linear Transformation

Orthogonal Transformation

Rayleigh’s Power Method

Diagonalisation of a Square Matrix

Gauss elimination method, Gauss Jordan method, Gauss Siedal method

Row Operations

Rank of a Matrix

Jacobian matrix of partial derivatives

Maxima and Minima for a function of two variables

LaGrange’s method of multipliers with one subsidiary condition

Total Derivatives

Euler’s theorem

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