Lecture Notes || SNS Courseware

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Subject Details

Dept : MECH

Sem : 1

Regul : 2023

Faculty : KARTHIK V

phone : 9524243476

E-mail : karthik.v.math@snsce.ac.in

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Lecture Notes

UNIT 1:

Characteristic equations

Eigen values and Eigen vectors of a real matrix

Properties â€“ Eigen values and Eigen vectors

Statement and applications of Cayley â€“ Hamilton theorem

Diagonalization of Matrices

Reduction of quadratic form to canonical form by orthogonal transformation

Nature of quadratic form

UNIT 2:

Centre and radius of curvature

Curvature in Cartesian coordinates

Centre and radius of curvature

Circle of curvature

Evolutes

Envelopes

Evolutes

UNIT 3:

Partial derivative and Total derivatives

Differentiation of implicit functions, Jacobian and properties

Problems on Jacobian

Taylor series for functions of two variables.

Maxima and minima of functions of two variables

Lagrangeâ€™s method

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Oct

Characteristic equations

Oct

Eigen values and Eigen vectors of a real matrix

Oct

Eigen values and Eigen vectors of a real matrix

Oct

Properties â€“ Eigen values and Eigen vectors

Oct

Statement and applications of Cayley â€“ Hamilton theorem

Oct

Diagonalization of Matrices

Lecture Notes

Announcements

Recent Files

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